<Text-field style="Heading 1" layout="Heading 1">Introdu\303\247\303\243o</Text-field>

yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\j:@N<VZ;N>?R>=r:]R:yIk<d:NZ=FZ;>:<::?R:AB;Eb;=R:=R:J:B::=b:AB;EJBN:?B;CR;Ar:?B;Er:ER:<j:F\\=F^kN\\>FbKGfMFhKP^lfZ;HnLGp<_\\KY^jIr\\Oh[Ql\\X`OFx<p\\=Wd^^`@f`KFZ:NZ;VZ<VZ@fZ>NZ=Z:R:]b:=c>ARF=TN=E;]UZ]fBHKrObLgZ[Hp]^\\KIvkY`nvyTE=AR:DjBHjB<jYfxOP[JhbDojb`dTGlJo][dDeR:OY?QCooBZoU[CDooBZ:J]<TP\\TdxTbdP;dv<entUJJm<::hTbdP;dw<enTUJJkQK_Sw:]d@;fg=gNUWJKw<OU?OCooBZg?:::Z^pt?HgJY\\cP]BPeSp[?og^OgGNdTIlbXoKO]<pcEPoON_OAbNqdP^tdfdbh`;fg<gnTWjJo\\NQ?:::::::WEbcxNSWG=fU;odlt@=ph\\tTLkoqjZTOoqj\\do;w\\NO_OK<hOb`TeDtt@jp:gjTPKopJZhOb`dZ`t?fpDfldg;:::R=EdPJOj:p@:::::::::::ZQ?ooFZ_Ob\\`ddVZNQ__Fcbp[b^rjf\\JHufnd>^dG@b>agbhi>Oge^gQ?^h^t@OnWHffX[opZ\\hk[_Oei;??Z^Wg=nb\\h`NVgG>fY?oo^\\eW^Rg_]@ddW`ei[\\OlQYwGnfwGff`pUobZ`taotTNrUqbjptaot@?pPHtfh`Shx@Hp?_peg[`ogZyh?n\\MaooFmu`jqgZP:@RhMkgtNRUwltx=<qbpPgHvfXSVqkZQnTip@TPi<xuRoSGXEYdmVBOsr;hYUYQ]R`cujqRoIWO_U<UDE]rLof[sBXeVH[h]cWnSW]GuWeeBigXkG;uVBUgMAwCADCIEMItOaTWKXokCmYgooBmaxhiDOIDVcWmewTUjlTLsYLBhO]<E_uc]BQKIDgWe=EeQHqWBr?gpeg[awE[uH?v\\OeooBmuGjWi<UsdktT_swABhKcg::ICVWFtoRwIFVIXqAchEDUWY>sXFiILWY[SeuIBVIpM\\uZxtfdM`qS[QQEESgQuCmt_mwM\\uNplO]?`JqUk?aPeunSyLr:GtfiCVqcZb@:Z=ZW`feQ`q=UGSQuFiu:k?==W:eu^S?RgGffcfdOGCEwcGb;UVRSWmsh=;ao;AChKkXAPPevMmOB`mb=wbNa=IeU@qDNv\\A_phOlvlQReLnNLwbpPgRasXNceraRhotLkVEwefeU`AwV?V@sHQuR;griktT_;fo^;Ra=EeU@b[awGh=OMaHUO\\S_En?aPdenBenkTt\\doF]L\\XVZDMFLOSDlH=S]EPRQK>YVkDmJ]k@uR_]W[TuKLPUIllHJkTu@drfAOW\\ReILkTuBTPRUWcPVpLE[OmhtKHODhOaRScxjqD?qdP_e_MTfexd_glYClQxgywDaUMMTketO;XtsE_YUmEXPUtkWf^OdkSwoUCqcWgWDGETQAhQ_x?gclitGUbkMBS]YdSxhyUh_uNOT\\sG>?fPqSZ`VPqslLTUqsjlWShxJhVNMTUuTjiM=qO`XRUdoPhTVqk[IlGALhEp?mPqAShilSYuVqQopRDXOE\\xfpjDaVWYLGtlNLWGulK]u]<qaQqWHOuhwOEnoplLPuuIJVIPd]VeQVE`WhuJjUuU<UUMU_]kYHqNUOkEkSelM\\OXEp\\UKcMSlQULdWmYLthsUqogeLupWT@PN@tplogLspuVGyif?kcpwGH]sV`PNan`vKYnVGfTN_p`c`hmr>xVxvCQnqOl;q[hphPynhIinO`UadWGsfxadwgy>yNnseQho_say[hOusIfoxugGkenrhfxmN_sHq`@ccH`Kv\\gNpy`eJnt_aeFo\\hqpyeNYIsUDSUHKsSXIiVuxtsE@Mu_oRXkV?MxmCrpKyDqvMsR@ogVigKMwSCCEIW?aVdYhuyC>Wi<xpedQjyNupKatQRuxRPNWqKnEy>twalLAyQrPmRQnUYq[dujtXY@JhqLEpwhujnYRVIVV]\\hAwq_cwvr>YaFHdgguJqwRXa>Xaf`lpxuWI^XIaHAxHHxONtqgrqose_q?ywlV__xu]^qmWifpm]Q^tha\\YiahaVWfcP`LYelOql>q\\Od]G_QPghggQoZhA]o@phqa?^nppuZyhFge:qwyN\\LYei?hunnh>vqw]Kfbpxx=Oq\\otAGhDh_uPqWVtIFhAHhD<:::::::::BoiTc_UhCc_SSLuxyPO`hygdsGIRkmRsIs?aPrQLEhwhujn[EibqprhocBPqmodOA`iGoFajV`nLpvUOqshyFIaLVkfwpqWt`VpdnwRXvtGdoWbu>pP@a?iy?p\\bQrk?io`brXklWv`h_MGjGyh^XxoW>Ex@uvDitVsUDMvQcUkwHWIg:qC]cwP=GyIFkwRrwwCyChAHhEh?uXq:::j@]nl@l\\PuuTJeUPcpK^LSUqU^N^?H^NijPfqBGpm^aS_gSo\\QqnRGmFGefS?OUSKVdgrBOCWoS>WbZSgR]GpSg\\GtBuB\\Oh\\qxDSUfeff?ggCHUgeOmXPQcRgwFeBnKgOCXUgBDmCSqfxebhcrD;g]AVGchOOV[;bnKhn?H=?DeOF>_toUu^eFpOgTEHRWUxqtgAcV]cgGY_]ScKuVSiuWCPoUeogFMHYWVs=iewV<mB`qfTGSDwvWEsIquUEX^cTKyDAMDOme`GWUOC[_STGfdosV]Bn?VPcrUEsNUUaUh>SFEGhNIgCQxxqXtqUEKwegyyNeMimUv`^>x>Pmbikl>yUQuoGbaWyXO\\nVaUGy]G_bhyL?_XpuygyWOrWg`ENe[ombhalNov?mh`cdqgTGuRiwGyx_vag?i]VlAP\\@aoHikpwhth_uxd]NoUYx>WenhqUIi]AyqpnY?txvappoaHaKGdaIlqFvphmAYuMxkvV_Y>nhiqNxemWhOqhdxcTP^VIfcNd]ansWnHOxfi\\RHuFXqLxcWAsaQqJApFAwXYnnpjhNdKhcuqpTgnbHsxnnTgjsG`@Wvey`gwtliouP`wAq@aeHXhMPvD^hEy[@Fe<P`c_jaipWx]OaaTP]QIfVQdepjoVtwI]HHpsol@iaoxdC`mnXkiwkSnspWr?WwoXlUhsNXuTWwsFf?vmXgjKocnIoTo_iNlTfw^QtF@hDXstAyVPix`o]?]@?udq_YWhowitI[fhoDijm?qKpd\\xklgxK^eMWldQsMWho_sSA]r^omf`J>xlOxYocAPcDHl;V_F?trOfHhpI_^Gyo?xt>ftmVv>Ymm^l^QnwYcMX`dYw<WyMNct@pg?f?q\\hhgcNaZOjyPd>ao^hyGwq<Nmh^hZgcsoZhPfLqe[neR?iO`_OQy?pi<parX\\IPkNFeUpvTFqBNm[Ajxvq[gbXxq:WokQ\\ipj\\FqibgawO?CAmW_ODY]iDiUH_cDiyVOiOWI_ODrWvYat>UCKYsWCboaDdQCmUVEghM?WgKftySJETaWbh[fbki_EdVeC>SHscfiAWbKEh;iGQCI]dd?UmwDSIGlCTx[SY[UEEcayoOEXQtMNLre=RKuvL]vOxv:xoiLM[xT@PNEdqY=KcLxLXo:ymrPNGmU[yT=o_FX_IIZ?ome@r<H`w?cjiZU@ddg\\x@gc^e;pfLovgwphWuq`ukWyRXfCfcKQ_mpi_i`gOben[^fl@HaVQdCi^ZA\\DGen`qDOgvn_rNadhiEGce_l[GyqnyNAeZ@q;oql`hmfqGyr@qm?ngGov?q\\Sa_b`x?Gim`aTpcChtO^dd>_oPm=HdWOb_`nopxV`lMPkswktXgr@wQogqwfbYkZgo?iqdfcEQn_f_Q@ddW\\\\N_TWcbok\\AdNgkMvvFOcVYoEX_b`dNppm@ddW_b`dnplm@DRNQUGGbboW[Ed?aGN::RDeBoeV\\KSgMh]mVOoBmCUkUceSDSOxrQFbMiF_dpCxlAS\\OTS[VX]VUcUPCUPCTPcuQ?SGQUnSeL?uPaREWS\\?uDMFSSDg]g=CvJ?gDgxDEDp?c^McP]bbGH[KEdMW__gskfeaRcKEtgTPuXM[sfIu;MsceYbAtD_FQOf_uUswFoaf\\cyichdEXg_erSFfSTt]dUSUnGyouHAkghcETIdZYx\\GewSiwOXFeG[wT@eBPqWAAXuwh\\UeyWiCQX^qtdccrehYIWBgt=cF^YftWdaAxUgslYUCGDwQxBQc\\GiWwcJ]tXeUq?hUoFYWdOGVnPPHEtLMPU`NOeVlIltQlpUybuvtyqgEkP\\mgyndPuUpvRuWwAQuiO<yQuqRc`LAtwiiNePwfiv;]n\\exkasRmY=QXyMXXEkS`MapN_qNU]YEElwLT`UqeHohXtS=OadXEuTNDTPmRvEL`Ml_louhKTpYUhOhxWyMtYEsbxiqPgevrxqZbwrMWtOFkhpvLisBhrXWmF`nlPc`pf]VqkW`SicIIlw@arhqCnaN>`bYg]VhSIq]ggcxonyv^qfjgh[PfuX`qfuPvvl_toHbrHpaOiniyQi^`q`S`dToq`FoU`d\\Yu?ytdI[rNqd@fRousN^TfklgZ\\`x_Qitwv@?uGP_\\WkVNfLarnFv=PZ^XlQvc`fe``ed`_ZXoBAoAwZXGfAolbvfVN_dfg<>seirKvj\\vv`>mxxlTHnKoeV^y;YuihpH@vsPlgHhdHn`Nfo^e\\OhWHpNAlqxnOI^^fvlOe]WmT^vUIrHvY]WAySiqihceyIgaGeViFp?yrWFEsulMCDItgSRXyWlyQ\\Xpp<YMLTU\\tH`jNHoShMwxwZXTMpWEPNemLyaxj\\VdIn]qv_yQPLqThSTXvuYKchNhuuK]MWYOTDnyWc[Pu\\vmxNhspBiDmSf?OU[oFhUd>eHHeDWOsD]EOWGTEvAEh]cwoIRJuviGRh;wD[uUes]?TygglEIyuWcqVMsfuYx=Yu>iDlYYOkvy;b@Gx=iYlwu[ssvSVRyx[GVX_upWbW?IoScHOEkQwNGWHauFwdTcVmoVeETTcdUAw]uSnau<YXksRPSI]iWBcubAsneh?kSkGItsI\\]uYWyKITaWRD]IdofPgIfkUSAfteTHwIKcTlaXG?ThYdtQChkiHefleuF_Co;dVCyOMsVIbEKe>STmiWKSHDwC[IX]Igr=dOiFk_GFCYQqrEGV;Ogn?IdOUBmV_Osqss<edgogbeh;_WkSb^=yZiC>ChlkWk[EjUEIex<srYESw;dbixgcbOSE_QEE]d<sFFAUr;YlQe`OgsOV>WwTOYZIsx]UAITvCUREXN;F`keFKEx?YIyb\\=SKwuoKf<ifrKXvcTAyqNEkCAX?MX;@OYMtcHsKyK_`QjfhX_v<vaoA^EolwvZEGxyoBOvrAV:KCimbEQWG]dpQEI[TCkihcER?CQyVn[frkGrQHAiT?;tbuDNORckCewB;ysOyRFeFH;UlQevyDOEbMUcSEt<cfPgirKfbue:OCb[Tf=HekU>;d>=VJKI?KcLEr;;GN?r>evgkdh_SQmhIwF@]BJ=GD_GNKSI?R[MBJ;GwOB:cf<YBJ;W<;DbZQNbMQli_^mPfMGl<>dbVeUilnWtLffcGocGrjH_Z@dw@uOHgBib@Nx:wd;_lWV_:Ypo`cTYbUihIWd:aZ>Pm;Qvsx[bFwn_b@O_vXsnnpea_B>oG?xWNq<HdWobIGlN>_lhr:HqFHlNFxhFkNGdnGdTfjKp_C`eK_gFWsJop_FpeFk^cg]g=CvJAWEWSV?EGmTu]rrMF?wGCqW\\Ee>oR??GbiUs=hBMgQkGx[hWkf]EGceG@=wPEee?wIABMYwpuD]?SwOd[uDkUgloUeAIQMHWCYE?sDqtEOdBgv_kTowC]egUCYiMXLaITIT?SxOwRcKgSGY?udUcIqGYvEIliT;Uh?kWFsrA?cjOTiYBZMe^GyFMF?OS?iGkOFwAToai<[g\\Kya=Bo_TKMfDedborMsc:QgLUVN?YfGsvmgYMTmihMATcgBvQbWcvcMdLMVv?cekXucYlyh_]R]StOYUIExo]editBUWh_gceFhsHNiGMmG_GtHqtLSdcCixmR\\WIoIxSesG_TGQT`SeSCgvAsnQhuceVCCcaHrCd`WGD_WNQVXcg=uhVKe@QGcodrKFNYD;IhOCwd;F_AGDWDoxOjtp^@LgEWreKSxP=@[_OrBxj_pvc@vUomCO`_>]lQgZpdgqnjHiCNuvG`jq_KWcN^y;QuyAZOq\\bYoLOnPy[\\VqmHe\\Vsq`]O_ZmPcsfsOo_VvurasmivPHwliiYwc=a]kwqhfnqhydpcXwxgaetxY?t_ScTwIsWXYGXsSCpkCGOwKOgXmXAObCshakfseSlecrgBRCIvoi_=SsGIsYg_occWho_DXOwbGU`;TnawpsdVWD@[TtWYEUiwYXOmXNeG]yErcEhIxdIIo_YM?erMWgUf;CWSQVMwc[mGyeF\\qYReTr?tisY]IwxodvISqExntnqdwJInr]QC@ThTKIljohu?EOg<TneyJqLYexPIKrmvnaK]poLHVXDM[iPXTpB\\lTtxiLo`\\tdAWWTTg^`j`gUx_V_tT_rf``hw`kHuTgwTQr]islAah^v^hyrfxuVuuXaCOyhGsdoeoF`poxphlgWsMfsRosQ_luym@W`_YrIxgPV\\GhxEyrxImgggLhxvFem?hCqnSH`sX]DhlY?nm`ttXnKi\\IBqIf]UTGchcQTvpnUTRIXL[hmo<K;QsvMLiUNsdVGYv>dVoDllmvDaWP`KdttULWnmWyeMiTsFivWAqV@OO\\khIkbUWvDY]yLPTpK\\WeHWnYN>uWN\\qZlm;eLdaqRPWE]yEhlNLYmhrw`PrQVG\\RmPpFeOCqVjho?hP=mJpqPYul`dpGAq\\HsYMuRYrVMydHKDIpdmTvHya]x>YsN@NPIwh<onantTneEYuTWb<vaTxfusnPvvEsV<Qtxs_pvITtfHsAeLSLpKiyEQwCDqxYTLxSILmUHvqTPdMOQqNOLxqTqTxpYhWaUyp`YXiMxmktQjw]OnhRkISUdngto@XoJuruHtN`P_hTFmRKeQ_Px\\usR`qk@MI`v_XUQhLcTx<qxTmRoDm=]KSfhN`ptxnJYuLxjI_ukp^IhyBIwCiggQihgcs^_MA_sxhfgl[gnmx]mw]QvgmHsQagvi^EPcxwtA_tYF?QxOAeYoDQWD[UWuSexIuIidrQXHCtTSsrIh_atgkRh[yV_RsOFsKhnyfKSUhUSeuc>edxmvRwsrQe;[F]?gXMt_wBXuIPSX?exXeVLQTvyMgpt^hQxPRu`yMYKuMMmqt\\AqZQRGxVD\\OdITI]lGUqteu[XJ^eJCyoT=WHxqLxn;`dI`k]oouIdenlmiga?[gneENyRpmFGfUq[VVxtIhph[lVcFFdCn_RV`UGyevgbf`^Y^WQuYHqMgoFvrhV`WQtww_nfbfilGniEOwBHdeOudaeLqsHVoZpmQHtnQavXp^`toq^IVn_vn?idmWbnxY_edGI\\[trGb:KSvQF=yRh]t]AvwOcIAVNahv;dNUYvkt\\?TsCRyYG>secOf\\KE?WSuixpKF_?rBUbMKvikid_SNaVekeBKgxoDYHqCusYmW>\\sLhXgLLciv:qo?pwVqvdaYRqx\\YpLLY\\eJNLKTPN[uJTyP\\UspiNTHXjUJoPj?dKK@rATp[MsCiPcuMkyNDLtN]yJUURmtoaVDhvFXMdqSgmxEeKgMOjAyOTuLitc]SrIs;eTPHwQ]lbMYOXLgHWKIx]as\\HlNIOQPpHetwdS\\dQE`nYEkPtSlIXMXwMPOaPL_HkMMLUXU[iRZYoe`snpLGDlSuQZdsfxLR@TTPjMIOlPVdDkHDlNHxpToDMvNln=XU?dqFulOtSLDOLEMZ<snAkcLkhLkeLkgLKmdo<As\\@wOdrP`rFuPEL^CN\\>ifbPaW>[ApbTWe<CC?FGgT[KeWEFTKWe=W@QEdUff_WegwBSUgwgZocVOsDYUbWBaQFDEVVsdlOfpYfNsrO_skWBdid;cdO=YoQbbst<sbP]bb_wQ_dsEtQoR=gT\\chlQsj]fD]BX?YPsrVKTTeS^EbXiTFcDHgHe]Wkosr=DOeRAoRRMdccDlkTK?YQGgLkSYKv\\eVAOD]OioCUkcsvUcMegd?Teecl=f<QGQKuDOFysu\\cckmWx]vDWEhcBCAGA]CTWVqgT=aCWUckUhaUYoQg^OsgQs?EwKiR;AYZUcW_GDOdEkg^GynAGkihvWbH?YbCTtovFMXlEcNChpSdOCFW_VeCrncBx?GoaXjSWxUr<WEPEtIOWdaddMfPIh;QfwqwWgeQeWtkt^aMNPtdDNuDuDis>mMK<Yl`scENKXTcxoXeQpuoDinvhQ`DkVQn\\<VnmYAUX_LO@qUTXV\\YxgYRyLuZmtg\\mlTsDyjyXK@tWxMSgyrr`u`Dw?Tm\\hXRUs><PSqO=xurdM[\\k\\PpxenkPn@ellLYWPynaW?@o`AlMDQd\\tceusQT@tvsHsT@KqlMXisKlVrYuNXmOmvomQq`v`YTCUnxpTE]XXeyHqPyIXvUqdhtqXwQDuUHMUYm_XxkmRsYxSuKLqWxLspXumxP_ltlqYAllXEOs\\usEX\\qpLTo`pRWmWWevNuKpVsLpgtoaX`iVpiMh]rhrayaGhdshrtv^J_tH`jpolPicwobxQ^r?a`PqXvkkXk=qyyUEgyVqTj[xhMuAEDXcdfqUAYR\\uecUWecSMqrrAIpAitusKwxp]uNEbNQeCSUpMHqofdWT`mfs;yfwDMuXf[TgMbQmUCChqaD?aYRarF[tssIecxecGhCS`YHWmU[QihEwD_frOiCUgLswmufHwhYYun]Em=ugaxmuDcawGmBHeDGmtGsdOGuPQIMcV^ostmvtAxDQFYwcUysgMh_IrWCufosGGcuUytoFPsFmgDPuvTOthIDrSTwMfQmbeStTGHAaXGegeUtfuD<mhP_dUwvKwB@gxQAtoUhK]Rusy^QRGgyi_CxUy`=iKKeO;Cx]XwWS]MvKoSG?yX?sAoRSwfGICAobdosxuUiUWcwWyshHGrjOEqegR_FrWxYMxUwbsEy?_GHIdxsVhasper=Ydc;yxmwTcyk_tUiswikAIWA@kiXX`MvmMtMTLRenTQmpTYEIyHMOYYVH\\mmymGYlYisdIpZuYQ\\k?UrTdqKhp?mvnev\\mSLaTeQRs\\W[dnR]pomMFluBixvEpt`tsLXOQwFdwWQksRliDlIxU;u^OGXkYaMcJQTUusLAFkqgW=igsdyYIqIi]kd\\gxIIc<CVuUemiDAAGQKrc=cwUcTeFVOi]sT>SWiyHlUtRSvXqtXYVDYGf]y`UdHMcBeUmSSYQD`McGQi@yS?MFusuPYclETGMRcWvK_SMCctgeY]dochD]wemIAMunQdrkuVYfvwsy;b;adycwmCFSeXv[hbch`kEsUxYMSUkcksuTAdGOH>eVgGtniCYofyChTkye[Hw_UYYR`MiSAu`yrTQfDCWQ_WgUcEQTleVL;UtMvfEeUWtqGWdsFxqSiyClSduGHISfryfxmTGsvFKxgeDl=ECohtOt^wepkEGouqCc_eYM_x=iRjuv<iVEsYYeWDCgusS^qCL?Hqurt]vnCWrWuW_BqstWIskESlwbUwdL_xAAdnouYmwH_gx;eUisOic>eXVixcCRSWyk;VliUS?gEIfJqrL[DOgf>IyJkRVWuoiscyfoSuy;rAEBKItYkyVsVxEx^mrCafHOgmeFOaXK_Up?hsOS\\cySMTrEXsIho_IkQyGCijuVFWtZiePiiRmw_whpWTFchosTNeVksfR_erOxhwc[kTVoiiuCxExSkinqTbWUMOe[CCtYghUcIME@gy^OdPEs[GCWqb^iiRmwbqx>]uUEf_qcSEwPQfcQcNGiDEVVAFkmWHIU<icxUV<ODXeSw=WPIeUkWM?UGuBFeyBcTeUxKcD_sTN_dn]i\\eTs[ffQVASgcQGAssLwRpdqr=Y`urp=mnxT=`oGpvwhOCMx^PU?EopQlpirytXOXQL<Uf\\qKLpqXT]yROakiUrePKyDR_yrE`mdUx\\tJ=qrXmVRQkpmXXMKneYEIWp<Ub]lptyHPok\\mYataTphlm_=qDeLNLkQlxaAsH`SsEPcMT_uNIMSKySCpUR`OUmy>px_HSsqjAHS;PmLqx^pq\\EQspv@QtB=NC@BcbD_RZ=\\;>_DWbJ_l:`jA@cLF]\\^`JFsL>lCI]J?lCQZ=_^?_`K_fJGoPfbLVe=hrP^rBOnBAmPHn\\__<G^KqlZAwnO_SF]cGgN^^DH\\\\`pen]>PaOh\\kXe_gkDHuKWe\\wpJIpJqdKHeQwj\\>_AXtNikF>oAg<ut=;fuScO?f?_FQEhVsuKAsNOc>Qg\\;D_wD?GUhGd?;ScgeHqFW;XMgtcAv\\EFX?wPqTOCSdCdjgRQIXtEh_whfSgdiWtKhhsxI_wxweswVIETeQudESmsGrugLwG@cFr[fwqG^eiCeYV?YUqg=eYe[dQYwviRLiTn?FgUFNGdNAGkEUGKcC_hAaHgQWeySbGwXMwNWUg=cLswA[xomrpyewUwgAiykRlWyagW>OVCWwqgSDEcPiTm]rDeukyc;mTheGHQTQGx`ifBGgdaVGSbmQVEsXhMUGir[McBqe_EI]AYcai]KSYcf^qfNmeeCCqmwgixcWSUCeSoUgubHKWiggOghdgtESfL?Y_KsamfgGisuxhoUEuWM;yREfdOsc_Dkkyf]SAivDWyD]H<IWm?UOiUVyUaiBKCTecCvEHWKblQtnoi_=gEoED_E_wVdgCy?TsIXU_DhgbMCYTOVOmsoWuTcUFwVOCWIwta?vVuvvcYbWxWEcckso;vwGYbWBmyswewxyFwEsnYe@ISyIhusu_YcAGeOsVfmCKwscutBCwY_DrSci;hlIcH=Ij[wkGSVCFQgVM<wgMuRaTeaoDqXUuXqxukhtADncIrrYNhDpiYlCESmPqoqlW\\l]toRPTAxO^uoqyOD]uQdNwqkPMtcuNOYRHUsP\\YHaqmMtXxw]IxETSixkIuyDtVGds_`rcURi=O?anvlkwAQymxrxocxtODMfXVQXRiplRXrCUW`Px_YSDetrDqy=jrpo?ps^Yv?eyBimNetbummhQvdx_ik@eQoXoOpvjLlI=wfpw=eLvDm>mW@]UkmR`QuBhlw@uGIW``yGtM]dP]eWUTOsxVZQvrUyWYuCqTcLvaLsXuWYEW_umCyv`Qs[\\XwtmPlwBIMwQQsXYCptJlVcqTVdw?IMgiWaqYi]NqqT@QK=mwR]N`IPsqpqtlqHyxuwbymbIvXYKNtmoDkWEMsLOvdsbpoDETmuS@XV@tyEypiXrciVI`vghKo`oKpT>PLTQso@SGMwD@q_HkM]lLMUCIt^uS@It^lQqaLXAYuYvu=QDiNUikxPqLeLKdRjaPv]yeDOtxQgHmAYjfpqALXw@pqmYGiqstrCprbdLTTyYpYPqug`uAxpNEQKDuvTmIaLIhVxdphTqyXVganQmnLYrF=vOYnoPXMiYRhrmuy]hKZ=YspVliYyerKtkHhVUhNhlwD=Mjuv=ETTmSnF]xnap^vWXgQVdxglVV]=Qow>qNYb[yfmV`m^^^PfrXtGI\\`h[PQ`LQyPX_vggCydOHbSygovbJYt_nhepwaPkinh_i[nHwDXnBqs[Yas_oxnrFxaGPa[WjkvmLIw?ix]iwjGph>uDQlP`nTpvMOvY?pNPv^Ytd`aVi]_gxyGlcyjyPxh_dHI_y^[SN]gHs\\QmwwZQ_\\mHcyNZ^wtiykOq]AqrYN_QpfVfdy?s\\Qso>emvplIop?f]ysvqk^>wKIvIyy:vf;yxrwasQppafWYp@Xod_pmarUQxjOg>AidxoJislhjgo^TAgMQxjgnBHwogrxwj]XlbaiYicyAZux]eGkrfttN]pqgPHw_fyFOpH_kbawuGlohdFpcvg]_Fwxqbx^iwwmV`oEPlpQah`bcHatv^AGsIpdlinsGcMng_qfNPvmhaIolYplthwSikiHs]axrfkKidWvcRPlqO^PPcaN_cg`BAx_oongyAv\\CIwqxbTGmd?uUijVnnbHuqXtFVtaPmeNubXoKOdihtQnrDnqChiSnwHxk;haO?o;yqF_mYOd_ogYFqKAyFfw?GxCgkUv\\cOjHoarn\\LaqMpfMIg^XtAO^gyphogVFmWYugam__dcuFifv[TNyWCloYHn_yVcQltyqAaS@Eu]Mu]IxwAuM\\l`inI@TeuYoQOfxt;xrrLUReMeQTfdtUXka@TYaKXuoyhoBxRQtoolxL@QeAO_pS;DoDYVoercqV<XqCXU<mU^QsgyTDdXAyvHPvPlskLnKqXhtSMXoODQvPVQ]TSImeAvMtV<qVVyiVQkeOmKFntNlKxnS^BWe>gYliX^?ec[ULkyG]TWqt^eiKuvNOSBKGiGcykH[UUrMi^_FsQhAofRsv_oc\\UWjAi?QIlCbW?Uy_WOEYNeV`igcctY]Do=EIECQkCnGubIGMutROhZOxOqCHMugOvrSxc]gIETiKWLoYSGiGoVRgsaOYEMsKGEYmVAmgeSRikdVyup_vY]tcWENodTeWVei?UHech`Gi@GGh_WuirIYcxMvniuasXPwToossUx[gEY`tw\\Tc<yTHycpwE=MqivMESQPTiyOjPTiyOtIriPmXXv^aq=@Qsuo\\xWhmyy`xKhyIyrx=ldlWnmu;yOwYoBypQAyy_nwviDxy:^l>VdYOkWFcx?__wokyelakopyenyLG_Nwl\\qjLweDH]e_yyGwSF_xya\\G_N;sD^MxM]yxSB_yI:yRfcbdQd^ScNsT^MsMiFpcucKxl[D_oiBChx?c>[vt]d_;YlWV`OBiGXOGYSKgFKglCwE_RNoBP;DoSB<CGBoeI?BfCVdOcECDrUDlmwK_hlQC_oRrCYAefLsG<MTj;ItoY[mhL]UVGWRcCOMWCctjMdDUBB[dVceKmfEmVBqTSui[aWT]rP]emee?_d\\aILXtBqp_Uun]n\\YUlmlndnTENgmnJHVc`nUQnZISF`M_eRDaKL]yEUyLiJtTUeuTldUfhRmxwaPJmxmi<tgaNnLyUIRMtweIndEQf@Y\\utx]WoeNFtTLxr<xShqodYTqdqEUui`tKw^Awd<P_QgnTVdh^bXWqe>tMajM_stht`vld_e]y^af\\cAoPQuLOo;IyMX]NgjO>]@g[vFd`XiSpwh^qNVn^Yd_Fiuina>vyAZZh`@_cj@iDVcO`h\\xcoI]nVtGG^NYmG_av?cLgd?IiOf\\oxZGYZnpmcFnVYfTgdZpddQmG?`Kg\\aPkeO`t@dq`b]`sShcaIrmQ_LgpdAe`ijNhvgodohbTPt?anZ_uXgc[QjmnlNgw=irvVl_iuPOvpynJgjfvbsh^dqiOYsi`x`^sQfySQvrxbUpy@XglhlCIaBWvIvoKFdmTa]XcuXWkdfgG`]YKitIaX\\gdS?ws=wSIc^SHEoxVOudYBoQfWEYHaDmYIPeGyouCcBvEhIGbryrEif^_u`yVVgCvEVgGDdmibmxPSfaWr]eV=_sfMrJstO]hFCFrgXU_eHCDxssfwrCqhjeVLGGVWuP]u^QVPgcXksD]ukmsFafvWbOWiTCFTEW\\Iysmw\\IfncY@Uel[Uy]XysVsGrcgBvITRqH_ebOMcvmsGWCQkGdwXCqxXWXNCWdcdQScyodVeIaaDAqvigUeirEOT@isJssgYS]mr@UfjYuLaYFWxLmfpwXMQgEut]?s[ESj[G]sDvkd_AtS_uN]dcGUUOWWgULUeg_hiaYXsbOkyf]gv_Vuqd[uHXyWb?pE`MNIl`MsqhvodXrxVf=XIuovunIyR?uVkmO]XoCDxhhPkdSMQmQtR_ULyIVDyY:@lEqX=qPLdNOdThtbwao[GfrfnRoyFHr>_sQWuGQwWqyIaZIQwjYxApbOAqDG_cHi]hhbyirQpcwncIaUy\\CvbEggo>tciu<py^Ntc?vtWxYhlkAi]_yRXy]WyvpxP@gryxGOcD?oaXbZIgrqw\\itDomxcfoyQKHwAxqmiGKsOkrIIW>eVpEeDyqFqm^AqMQw@lweMRKys:mXxxpjtq``ufDo`ULAUM@LyElP]qxMMKIYN=@s^QwSHv`QkDuuy=jJuVSHXHYLPynuyORauDdtCXN]@m@qmPxY:PuKAsqhysDo`dNXtNTqpodNedwxdLw<U_Em=YvlIXHIMHYPSqKVingeLYlNImwkIrKuoKhms\\Qapltg]shb[_ks_`gorvPjqHh]oZvY[hPcIggw>etN`?XgYWpAFsQHsGigaI]lofm>weiroYVmetcWTkyoubN?wb]ID_DYmrYIXlQe^MuCcxv[UWiVowyJGgAyI:MHngf[MIDkgi\\TNDPLaxjMoStSHQlDxNC<PJyWMaTsaTpmqlxQODtpENAusQEYVHUA]kHyVFAOe<xHIoQul=EkbDT`=ymyMl]YYxx=xY:TMilvGUYUTpPYT@lq@xoNXKfqrdpke\\xc@UUqSLIXLxs>itlILQLvopSeXnKESyXN`MybuYppQQMJsQqUlXdhutHRyUt^TNlIOoLUWhm>tMc=xoiv;lkCLtXyM^qQvhyYPXolUiEkqPVEDnspnU`N\\lKgyY:`UDdYCYSqMrc<yNaXxxvwxk_AOaEMh\\tsLlc]oKYuYmRqhwOMoolKAPnKTVTmMXxSQTqwuWGIpEIWpyXQuL=UvbTQCiNclOOloJupfTmIUlsTUa<MIeSWImO]n_pwQptAV`kWn[yvF`rPabdW_Mq`xAoRXr>x^Ap^tnpcQmNhbuOiuQ]jIo`hiEqhPQfaaDQUZOXxgbq?YY[cvqC^YTUOuOWesiFoai]as^_UcOetYxCwSQyvP[XRalM`uclrGenVpSfioWQTMlsyHnCUuUileqMOLSWdsMmKMhsrimrHPflUyhTCImliVQTVwptwAuhHL:ilOUy\\QntMn\\hVV`NvEmwprrAqyHpOiVnPSgAXsLMrUKO]KNQWtHpWXsJtx\\QqFloqhW\\`YTPj^hwCav\\Mykxn]xxapy[ipfdnNxM:DQrpYOyR^ALDDlXAoq\\XSXUqTxPPUaLmPHU>xvHdMylTSMXj<YV]TWEmgLOKeQgHttXR:AsgeX]mWOyOOqWPAPEXWWhrimrvYVZiPfIWWyMAysxavLLwD]j\\TPMQRIYsqqny=JNQRo`LoHrC=y:Hw]AwMEvLEO<isLevUHX>AyHMUoiXiLQQxU>@xNPo]qs=HNPEmXHuxqtY\\tXaRtHyPTOJAY@uUfIRbXsVIXa]SEaWNQOfysQ\\UuXL^IuRekddnO=VilwyxlRqPNpuFEYApVamNqlwyVpavpYFssG`_W\\oXhMp[OqsFoiVyi_vxH^uyw?gRNquWmCFUIqOiGKfyydSorBmYYkvD]YRqThcXSWusydFcrBmYYGFNIVsgiBihr?xgyCvGXuYHy[CNIvGCiLSVHygBKSuQHy]S_iWmmeZSVH]g^IfNKCNsuomfRIFOOSnMh]cgvwESOE=?Wh?WkeBmcto=snsD]ig;MtVuBNEFroseASE?TOGBKOS]Mf@wcJSV@]FN[vfeFVCdlsD>KCZCWGSTVAtNor>mScGVRMRewEu=dpOGeAtnqVMMbVEiOkVRchA_hdsGNeDbSFWOgBOUm_SeEHIoDdMu]?clciBMF[OcZseJ]tdKYI[bhwRCeRlosRCXPGSoOCyQXA?U=EYO_dbiVUGSGKU^CEgcx[cRtGd:OHa]d@?eoYBmmUJ;YE[SR?rZAwL]b?KgiKCXSSKUDemVJmcHAiKAdn_XUme?WTPgs^eRTMed[TZ?sbsDyKhWyF=Gtnir^aiCgtpEhRcTcauZ?WUKBfeuEWVcGFD_GksTqCu^KTPgtmdS]aLbILU<Yv\\YEeNpuxe]m\\EQZQVVauGhP`tOX`nVLOotWVtnfpp\\UOoei^NlbafohgXggEA[fFukvpeNxLqqfx_GQ_<ouKFeoOwlOwtAy]_]kWpXNoiisHadRWd>FqN^pvVnO_tdhcAo`UNopq\\MGh?CeuFHUVdYhxurUSFpiYI_UOOVkeIYUFkwsYicEMIdKYaWWoETKOxdSfMUGlQGfat\\CwbmV>gguocmccQmS;Ey@_eL_STawMCCqOyPYsLcIgaXmcbUSshaUj;UvuBqMdootPytJesl_GasfawR;uWPQg\\?TiqHXOgeEtHQYvmw=Oty;RZUTqCxrAfSMtqYU^_SdOioaBHSTSWv^OBQmh<UeH?w`_VVeUP]r@]XYyrNMHHEI[wxEew]Ys?KwkIeEmfYosGqxgQRpIYnoVR]iwaEa[gt_eomS=CwouxaIrIcyRWWyuc]aGqUeWOh_gVdye]EsYmRHWyGUdiQr>oFtQfwiVqKVMYGW[yeCCQIUDmycAw_YsAgR>Yv?sBkEI_QI_YHLsy]ughYiQcFxCEi[r`qbMUUmSWhMFO_wSItrECDIglGGh?gUGuRgTYWUNkRrGV@Ctrwr<;i^IhLUCViWlOg_MXtcUVwDKIW<Gd]msRAVIYD_qfW=iVWS?ceTkvbAvDotPQfTMGnciWAG<EtmarZkG_WCqaEogvcoDGmUX?itUWwuc=]e]Kil?EBgw>iWV_U^qXiWUNohmQgwsV<=TGCv^MuvoshUFsEwgSvBsdOYCjcXSaskGyssCXAymaB]GXpqvh]M=IvTQPUYxI=w]qWCqvvASimOcxq[trFXp=mNitYx\\mVituLl\\\\Q`hmoIqlXpr`q>gvpnxQIndgiOn[YNhI>asA`Oygdh`vFmIIwkwrMAhAgtCqirigAHsHgvDAadpaGGlu`kVfpKYvRxqYNflnggWtPpZUYu_g`cQlcpujguGhfQirZyrT@isyfxvaaXrCQsKOk@y_fahpwpffsc_lNxeKpsWHqTqlx>gLvtTxrT`aKIakycFpaXHd=Qw\\p^`OpxyqpaxKGpcPfMaeMY]?WqrFqwY_IHl`auavgONeK>Ecyfatmacnsrb[xrobmoeHqxeifd]Uggr_Cyomi;IXW_EuoBhcfb_US_eNciRoYauFgIeSQrLOgH]iukFiwvQaDHAUFIv?WufoRhiCBAwCcbfOiImXKsXOYWxovGaVMgXNetsAtC]eYKicmgc]E`Qx\\QsdIfg_sjeXVUY`SWqKYUahQmfGmGGmTAewdyEqsFdivFEv@_yLqiVefHQd>qw_AyWwIuCwqsSmuUxyfcEsjuIDIhQSdb]cTmYEYhvWeNcSnsR?yuNSReosGgraOT]mrPAWMexVCuH[u_gwTOiVuVneVsuiaKxmOFXIy]Sbb?cc?SqUR[ufWev>YDuKUxkdlgbBofrywJySkExrmRNOwvSSxqtveH@IdpYvMCcmIxlcYn]rlabHaT_kbcMiPuRMevlgSb?wNCGiWdWmGIqVQmRAmIEEcKowbYh[mtrax?_hsAirGI`QhEKd\\ay[qUxgSRQf`QekEwGwgQcXOScdQx`ctK=SQQtpYd;EvWUSgUYLuYMuEmIIwaH][EV=uvEeaOYu[uqiwqOHwsfUExNofKuTkEgTed\\otQcRmqF<QCNeykwsbyxfmbdqhdse]mYrqwAis\\IfakUhICDoySWgECUSUehcwocdmEhauHlOWoyI:MGAiupWW`gh>[IjKenqHeGuo[XrWVX]Ut]CGiiV]UVouayv]OsmqwhubbWhFwUK_V[Qv<uTtEcymCAecYYupeuceyDoFoyI:mWCQWaUtMuCwMvVIXnGdH_YS]rAYf?ufy]iuufDqwToH]_rZYEMoRUaF@UdhqDkMYUwsHYddcdN]Ij=ukasHawTqFoAe[ysSAvrkiyGYpUYakgxaGYcTfeCduh]YdN]y;OuMMbkuGNWGk=I]adxwrcMxoUhEibQ]sU=H^EwVMckygJcUHqebahs]VEWDHMdGmG_kYbQicMRGQHLegNOXDwSMabcmUjigx_veMTrGCy[D<WYGMI_[TncvY?eQer@mGHAYQ]tBcTcSyYID`IbW_SjUwEIh:=U?Ui^AX_OeJsgvovMMY\\uUdcCaef@[ICKYfOW_OUGWU<IgrOS[mghMDH_guciC[wLidCcduogn]eQcb@CWnMgU_xrITwASQmGSsXPOsQ?fQ?Rd?DPMULei:ESbySOats;dTwVeUte?BQsXIWcDCfk]dmMrCMH_gToMWVMExUBDAxwgWxos>OW=_XNMTyAtOYewOgIkG:OFoidd_sYCt=iGEwHI_hA_sZMXCYc?QD_QutEvA[c`OcW?U_eeGmGcWC\\wuMKhhoWF]DOGy`EBDQDHCgy?HsKwNGwqCIyAVMwwUKhfwDa;I\\gxicBOGs`suq[VTpvAqTy@m<XMvyTJ\\P<qttQLudY@YtQPvydVWHqlyY:`NDhr]XLmEMrLXxYvhtvi@pNYqNeKxMQKXTkEmnyKdePhXxuqJSHxQ`uD`lYXVpeMcLX<AomMLWdRmQn;qthXjdTXeLsv@UeuSMeOW@yFHoFaJt`KQLrpdl;ElBxMc`L[MTBQpbhtJeKFMVb@TT@yjLTm\\R>dOSdlRPklDnxEJ>ypJMKZtLIAtLqRMAt]`SbDsDlt?hKldMs@jG`P<ySTdM=Yt:EMSIYfhROPo^UNL]mdeLSPWm\\UXejgPv\\=QtTKDYs=LN[xPK\\qC`KWPs?`kkdR\\`N]lUb`xUhiWfmR_vgNgNIwH?avfjJGgP@abPiow^KWalObLIfUgkj^Zd@obgc_FepX^VIby^cdVs_O_H_ed>gmPa[asAoivO\\BonModMgmUwi`IcWh`VWfTwrNwwqpgEYtV>wkofWIWwdsesxWHs]Wk]wayI:Mv;Ytx_wy;BcAYoeIh[g]kci_ieCY_cFu=xoaIYoY@CGsQSCagMuv<QgMGUXMxG[xXaVU]x?UegWYU;eT=srGYsuY>YiIQPhQSgXtvqkwePRLOUaXcasDEnhiUR`nQTKLXXIpjKypIImSXLVQTPPqd\\qFMTh]Mjpl_iv;QoRpoGao?`lthwTAMa\\XCqUQPPqdQXano`nuhsZEuVaNvUrA@Rl<pIemBQT_xRTxjo`jsPM[EvEIkppTDesj=wNitDyJAEO_uol@YvarelWAMTuDSAaPGAppDw@QP`MUaaxslTxuo=UoGMmaTPSEsT\\t]IrKu\\`amU>rOY`mo_no`pnmHF_xpZeP_Win>HgZYsU`mkGgsG\\q^]nQojvl\\f_VOvjAw\\^jN?pP`]Rpx_aZlQgrP\\N`fbqux>ZdYephn<PomQ`VAYeSdEdsWe`Udo]GU=S@]TsWD]OfsIxrUWkgsn;yM[YuMhGghKuyGAs?OdsaBaAyZIXa]DcauIAvUYW`ycjgwUihmKsDIBasE`KGvQtagrA=iPAI?OTpkTPAhuUUciWmGB\\wuMOY[=tV?id[SgeBKov@CtIYCGyST[e^Wrl;ynoY_QSlSdw[XhAVVGUPsiLgFFQEtUXyMfv=sp_Vm_SWuTRWxy;RkuTPMt]yB]YWicGy[cG]TbcFc_GUqVRieLqfWgrqUrDOY]]B_yRgCCy=dQovreDoueX_YcmEG_TosT[QG`sT]mb]IikqDPEXlYCGcUAGXi_c\\obEmSjueDET\\_u?EXjswCIDrytAOVgiRyMxOMghgFs_YVCen[SjgHaoV?ErlACxKYGMybuD@QgrUylesKUxFOE[qDeEsKMH[UWkGin[VK]tpqsTQT]iDG]tWAybiceUfyGWkOEVEXGIDoWEqwVFcuYWIjcbsUW]IguUTWICx[b]wCtkYaYcuEICahsEVYkXWwt:EtoUxmyI:IxpkUjiwnMfGgio;Yy]TdugMmGcyvxKD_]iyCyNOYIMxV?IKohQcVcyB:cyMqX?wtJ;Yi]d\\Qe`SU]gdsuYNIGOOxFuxgWusGGswCxmVc]i_whGqHvocV_x_MgGkgHQvpAfkUsy;R`csPiVDsEQEuxoFEIfkqxZEwkIcnIVKqgViyGwDWmRJEcuexA=BNsDdaggew=qiMuf@wbOUiiccYAbWAuECeiSf`IC[CwaOIOISUqxj_tb_i=ohm_RL_YdCUUeSu_VVCYkgEOuWeiT_ED_sr@?XMISm_C?WskcBvyI:[UqmwESDdihC=XP_fwccxcT[UrFif@yCAMbyWiNYg\\=CpehjYvk?R?QW^=hdWGJiHmkcqWvDcbLiHEexAoc:aGE=IOmy;OeNUHHyGfuDYAhuYCYQeoCVG]uReROwIngdu=HsGXuUhrQg?abrETDyCWwehMdXgXV_t];fpGEv_VTaIKgeu=XocD<]uUkRkkuN_RGiwuEfYAVtsviKsiUW<EGmGwaOV:wBc[g\\]EvAcMYGUeTXcsFiWW?u`AeN_uwedIKe<eyLMSJcchURLECtOvTef;aXW=eDegm?whisFQvUQI\\ecJWFe;w^OI\\UWkAf[sBdwS`QX<mIowVqEx[ogI=CNAGI=i@cETEV@QdwKwiSR:kxUohyeV=YSDcgykWZcRisBDMGrMVVqVk]dIkd>UWgcv^YVBqEFifgQDj?c@owfMUX]RyYXlmu]KtkaxGeDr?TgIB]qTYMS\\YtkcdXyWGGI?IyIcXDEBmevbaF:_HhKHGAx`_Y@EcjSSWibjyRdgR__XAGDw_eYEe`EExCwMQg`wDKodBIG<gFCkIKOCxKHF?yp?SaMcVKTSwdREcAEW\\cuB[T_?iL;gDcyJYs>UC;oG=?DCOfVMb:ccZKSLEBJETLIBNcb\\=cnKG`eDbAVLUR=CG]]DNsG:GujOBZUGfceeCTnaU=WCbecg_WPmVQiVeiXa]tVQv;MsKErw;RokSwEdOaXOYeGQx^Wt\\ICnMvgIrKUFJetKsT<SF_Pox`NdlQ>HVT\\XdDkqiVOLlAtPlqUslpMttfdN;ilPHXODUOPlGTMSGnOOeFgit>hW^pjynLWptVoFpmOW^Q_`A`xoAb\\qmcflD^pEQ[RvxXAuUikUWlwi[tH_Ch]otNkDs_umWcmsiPWTx]eouXuuyWuCqSrWCCsOYWwgOcdgifG]uPsd;asbKYRaC_YE^]dVIY;kfnowr[VfeiIYU\\kw[WcQoTx]etQeGeIGWVmqFNaGAytdMv`YE<ohPCWfQrg?IxoFYmYoseuahCmf]Uyk;hbEimEg>cV\\MeKufktxe<mp<u^<uLQQM`lSQnWQodTT=hsw\\PRImgQuQARMUmKdob@X^IwolpCyv`ekkUu]EoolVTUs`qJPMpTYlkArOAUneOGXtClnp\\uZTuRmQ>YunHV=pUPDlphOtXVpIl@iwqhRZ<TjexRQnEiK@IoOatbhOVIx@IkQAnkaLXEwZhJSUSCLVHLwVqQ_XSmYlGhPiYOMmwDIKolSbeYKXwUuL`\\RNYl\\EJ^lTQEkalxfhMspTjTsXLNrtRglUbuvhEPNUw<DnWHKKAVdQKMISQQJ?MWtAxa]saaU>@Xe`WPPTCTsImNv@qJlOGEx_mklYVq]Re]u\\Qk>lwEekY<tolOkXRPymITLDXRdxjvhLA@MsAp_pQbdyjpvvYJqlML<r`<Kmmy;UUVanAdWxdksuJ`au?HyO\\vXYtZyTSLOQllOMYjpx^<Ql`po<r@pydmve`mrhN^eleEkwDSmAvlTWVQV=\\TyymrhYSUxHXv\\yLJPJVPM]hSi<lPAvkUk[eOx=OoxrkYY:Ly_`jYptRPlgDT[an]aTQ<oEauYDKtTNYLthaMKalHPsQHPiPk@DK_MooXvBdsUuLTtq;\\MPTtcmo\\MSalvkqx\\EqK<ulEsnDyGHU]Em`ljKiTUht`Aml`LgHx;uNHUR_hNFXMjiVdtp]lje]RVlOaqlRQpwPooDQkEXyMvutl[TJxiVDutlLlieo;XqEPJN\\y:dOVuwR^iRXghP\\Cwa;fyXatvP]QFq<IdNGZo?axgt@O[J_iLffC`nwH[o>Sqh_Ot]eFJMFHiwtUfH?WDkbX_FWGI`oxbyrLYfnAWKADHgDiOW;eugIc\\KU`MelMExavL_UXkcfuEF=ho<RalwEdtPpy:Tymqsotv<=S<MloUjciLhywTYU[eSQuqYLwPlLu@X>TWlqUXhKO@wm\\MhyrFqvWqqhQQVexv=QiTjv\\MsYN^DVx`oFyr=Xq``uj`lMYw>eLciNieSXLXLaUKhsEMsVXOxEpiXUYPl]IrcimRtpBESrUl?al^xMWlsi\\Rc\\UhqURUxsyqkmxuPPFlTMhXeYrOdp>]kchWLXWKhmrXSUaNYHNuDstalx`RoDk`IXaAR?TsImNLeSlexBTRY`rxYjcMkXunO=ViLWi@mCEY\\Mk=]j_YYLtYTqJQ\\kVdLsLvqHnuUMw=wD]k\\UplyK:@K[pLeEkKaJ]xjUXNjaVepx_ewi=RoTRcht:LqOxqWYjc=jcqPXQL]`oDLkOekTQV?HTq`oMtodDjL\\kldmeqS>@WFDpGYTTTMLqUQxLoYV?aO[yMZdLyMwIMk^USHUtGeXfDtLMSNtYTeJhN]O^a<Ntdpbx>o`xttnjrHctYnoq_Ma_\\Qlv?pIndG?oy@nlhlsPdOPkb_`EAa?Gi\\wah@asPnwN`rocIPw:^mYQqyNe=fk?yr:Nl@XdgHiJQm@?]^xuT?lgf^@yel_`hP`gFcEoxKqjSx_TAllhlLa]UI]b>xGwkdaeLO^v`v<ijQ>ysqkdHq[NdIWj]?oyAZa`sEPZyPwS^^sApXW_bi`efsK@nQPbJGdF>kJa^bFcO>^:fb:O\\:Gbfn\\S>kM@iNQhv>bdntbOocFqsna_^p^Ybn_s\\H[CGjHNar@pC`hXov>xhZNp?QjoH\\N@g?NhMXmTgdANtdaZvNsAPjrglD_v_f_gNahX^D_n@O_e>^ph]EIhAQ`bxrshalOy\\Nwa>rbNjQvcZ^lTWfrVjGg\\C>r]>mDyc`fbt?Zs>`OijbocX^f^Npb@\\nQx>VnOHcKoo<^pKq^d__BHqgnZ]`bx^iDXmiw\\KpvuhmX?kIpZg_uOGy_`_]^]QVdofso`nW@hVGehpgkVklCAuek=YqouOew@Qf^_E`_XpqUFYe?QHuqX]sGYEVMITFEcXmVAsfSUUWQicmTL]GQeGeETNYEkmTLeTX[vrQG?qt@UeBuYiMVV;slKbGQUgMulABMgcpwDPqREmh\\;YnGwSEdGgUmGU_UBN]gUQRocIEUFd]yUOyQKSJGX_Eh:cXcGRtGT^SUUEDroVbucgeHXQvp_FrMU\\gi@UicoXOMTB]WN_hdyXFoBougLcWBEsxuD<gW?mxe]eEOtTorI_RSMCEOElitAIDwOcP[CPMivCULADIedKaen_IKOI]gvD;c>]R][e_uu:QTPMt>uiiKW`?T=ihOue:MbKeejYFlOVMIdEsc[gerMitoBFMURoy\\oDO?IteGSAs^WUhgrgiEIKtVyvAogDOTg_uLQvCmgEcsY=TgaILesK]yxCvwivQkCbexAIhuisbavvOrJqV:uEAkVTIvGCiGKfyDpWhP<=sBDtYXSfiMxdsGLUvIO`uRdaU;lU;YUQxJqunGitFqkV_fc?g@fo?imv?kQq_cFiKndrPpuOL;X]QE][dTYvriy@mgE=Eqsu_[v<kdVwURKTWqrQoINOu]?IZuDFGIyMVLSScgiC]Wsiy=IdC;RrMBS_xY;ENcFFOGvOrJMWDEXRgtoGcZWvokBgyfDAFgEiucDYAxgmrXydnCFc_w^ST[iRg_u=CrMUEiav\\qI=;wogWL?GGitpEcQed?_d@gvNUdIKeOIG=aDWGIPcvrAVWwDCMi`GxEMYNQEKWYHGep=EqsFVgFQQXDmCWyeRabhaGkCbVoVkoCbitTWycUv<uSXIx;OH[oeaURNyI:cW;iECuWleCrEtTSfNyEMGTeKXrYTfMsg_VLkY:yTWyCWatA_dLYgMWVRotxAw]oS<_eFEGGSGX[H=qreev]uYiew?msy;rJufemfRwHUixW?yc]uoutAGf:oHxIe@qGw]uL;XtWFPLPFaSkPS[aThTmh]yoyoTaVv\\n\\YQlHtDUVX]PwDlj`v\\hVdAVmporiy>tPqQok]JXyqduYVHLDLy[DwGISy`XbLyYhkWYUodJODsAQxxynYXMMd]h?u[ollPwUgjbhod^`aHdo@_ZWvqI]GwcQ^\\tInXhnuYdC`s^^emOk]hvJgt@fyKWnWfrvXfO^vCFsuYnY?nCVoAgwX?f_x\\LHcPPde_^T@xAF]vNfLHw>O[PoveHc?y^Fi`rNfLHx=wnk?fLYyMFcxqtv@`<fpon_Cva<fhD_pNpinH]PIeDwkO@cfXn=PljQZYFh]g\\A`bDWhPHgaps>hnQ?eIAwe>dPpG;h;wit?HPWWWebjsUCIF\\]tJkVEUboesMCx:ssCEsr[TN?gkMDkyFMuFAKUlaHDEE>QSu=xxqDv;gTEFDOyl_tUCcbsi:_glUeE?glOSLYcL_EJ=WOktjSh@_vkwTAKbXEs`eesArCEsZ]TbOsigwL;XD=XkwGcKyTkBcEtDaxEshtODO?X]ky^Qw`MDwIc[ec^;RnMXC?YKMUkYC;YLrtOpPSQxQlPk?tKpdscDRwAUHyoAiR<`t^Akn`lYpyBLMZDsriKQLRbXSKPnd]V>TTOeJB]N@<J<\\P:<j<PjKyTZPsnLN[pR:dpcDKOaUY]rmdJmEm^LPd<JDdj:LK?<M<@[ZGuonZ>NaKfb<?h>Fl>?_JXtT^jK?nBHf:QmtPZw?ZW_cPPy@VZbnn<>fJIdvNg@OaVAijo^GHZLfkkf\\QI`aGhegwkYcMG[VIcPwnXFcfIw>P^LghaPZExx]hgPGe\\v_hYf`g\\s_mEwtaIidIijobkorUIm_xliYsjGx<Y_^nfVPvjxcKnfUY_gatgQ]sfh>Wm\\_nSYfqhb?Wmgvpphf?G\\pXth^wxWv_gqnHqTVv_gn<Ho@WcPGedp\\a^rMQgOY`BWtNnlGn\\ShpDF_@wkPfe?v\\hadfFtQfl=Oc`Y\\L?q?YhGF`aqxSnbS``HOkO@_cXd`FmhVuwanufgjG^h>ZIwx]^sCHcaxY;RMSG`OYUGi:GHYKC\\ex?sfKehlyFO_ry;bT=RTMbEOSZkrKCV\\WFaMW`cr][tB_Wx?WQGgnQHmEC@ixI]WIoWcGt\\EUBqhTeVMkY<ccvGG<eWkYwUOYEWcE;E`ed\\ICQmgfOXmIex]Rd]yLKhFwDsAvQcCiGFomGBSWXuejqylMgYKsDwrQ]UiusJSTXyGBgB^Oi@AUmmY=GGIwYj=wV;dbKy]CYAwWMUrpsuokfWCg<_iKMFVyeVMuVYW`uRhpj@<Q;xqVMw@EOkuU\\AOQMPoESk=v@mOcEy@hnrMnoYSSPQ^QJPyqI\\Uw`mY@mTuUIAnOEt:pqHDNBUX]MwVK:dukxVpekK`yxTRPaqxHvcaV:euELx=EtEauQEkNtjJ]nt<jpQM?iP]MTnQwHIkmEOEPsCuQ\\`X<EUtPj@D[RoooG^SQl?QfG_\\jwoLajbhbyXcZPe@wjiNhtqjC`oTNo_nrifkSN]nGh[>cpgnTHocvccn^H_llIgl^eMOrI?\\K_hHIaO?njWl@i`ji[H>adabnxmN>mD^mPq[gh[C_o]odCHg_y^oY^=?ec@Z_F___dHyfCyuqg^vihFXfhae_Ysbiho>_?qsIOuU`a?IwD?dhoqshqoVwvnyAq_CGwFxhpWvI`tUSLsE[sXUoEUIXqyslwY;YYfYbMoh<MtYeiECEygrUIxBgds]spod]_hqcTeYXteYHUFQsXqwYIifcwVx_EtGusKYjOg\\ux^uu\\gvnEGtEtksVOSrgUgkiTGUEr?wtOdtUXWcDGuHxkGuUwDOVMMHgsgLASPuT[ewxyVpMBa?gWeYgKf\\sxo_GqkWiUBgywJWwbaUGoIauCoctEOtD_vYCiUWVrIhSGgacsYAucubqIhIKE]wuS=tpavkIcrAD[yviWRgss\\myXMxnctd?ylUGyWgswSeUteGHXAWngysCWSgbvuIlQGaGuBEXteVdSsNwtRqSOUHcSxhUEuYCPWyjIr^st]scyYTVQSakgLetUSBMGxFisFeSMWTNaR>]bWeiUMRRiSwebPmtcCi]GrpCyGgsuGt?qB_CEtAyBYgvyTCUB]cdNSgp?xDsIk=YFqCLQX@UVmWT>gVWYgHAb\\kDGoHISgiqtViSOQguUExUgw?yWISegGgEYBXWoaRs]O_YPtmvvhuXQUGqn<iLHyjP`uviPUux^`L_PStPYRXr^uXLQuN`nKxoqdohUk]mWcUy`qmdLLREWGqJCtQgqQAyQ\\yXipxTlmMlknMvMQXyDpG`qWToXiVhUw>\\kgYmUIvOIQDMNq@YnmxM\\MMMXsYnFyUYiu@DxKMqPMmd=wQyPsiuFiVdhLOHQv`kjama`qFxNhodn_ke_]`PvVwveVsRFoIXgQqbTQlhh`^QcEhnnnpt`mINlsi]GYqhH`Gg^<PtXq^B_y@PxhWkYWmm>]Ye[IYDYvnYSPEweOuLCXlwWxYbr_T\\oCrlkHYS_qw@]V[YYOEmZYMGApsYuX@qrQP@iLOpvFuvrmUXpoXxR^YVtpscDOQAM`iwVTNdmknYNdEyGipAipvhn;AVvmmAQNXESpePhHoxaJEAMWELWxN]HtNhwStWWHslDyOXqMdJN`nllNoppWEqW\\QoissYpA<XKQUaIxjARidxsxWiaPWPnwhP^isthVuEVqIwIpwPxxl=xIUtRHykdwvQqVTVS`nMhsNuseIvfindAqeLVUymFDPSdol`TvasFyRgMW\\XVoioQPS?Isb`NQQqFlQCyV_HYExmGpJw@wAQQDXTMQl@IUwLq^pwDxteHny=jKPO;uOmhssXOELTkXURqrCppGqTg=Od`r>uTbmwi`qSmjZLlnLLBaNDLXC@ND<J:<J:@J:<JdLK:<JJ`J:<L?EKDDJNPN=@TFLr\\`J_<TfmMb@kr\\UOuT<`ldLOnlTNPoDTTatkZPpk<TadphIKkMmbloPamapOrDJqXTNpmVTX?mStYvg`VODUuEwZmkPqy\\aLuDyAeuq<tLpSqlKlxxaaLWPLbapqAPM`t]mXsXyw`sits?uqBlOBUYPimoXKe`N]Ml>QsEUTqiVdDyfHLXTt?qsPaqEioguL[hrj@Os`vEhwgiVULqJPU]\\spDSOhoFqJLmSOAWQiKqTPvqxnASkHr\\TN^\\oJmQk@Wsdxa<WNQO>]QLUMHHR:XKALNwuotXL_`QSLm:ekETJ]tRNqPP\\Lv=TcLKlDuMLOVMw@mm;MkBxLH<QwiRgTP=EovTJUMkPYNBAPadl;UoOMk:aPxDjEtjy<potK<DwX`No<l[hRQMk=`kc\\TdYVXLjrxTDDJVtM\\@OEapEyJdesa`tp`lhdOkekLmVwhvA]xD\\X:qO`PMtHndDqZ`XlEjdEqAxnQ\\UiusJ]ntAjntkJUTX\\WgIP`qrO\\SNdukxFiBGgc]KGGku<Mc@oCbahEyUVcgFqsU[ffEfCwbi=Wb_Y=SCDeivqY>iTlmu>YFNQgs?hBuG>edVCdtifFeeI;UEiDBcqwqrNUrMIW^QJtEyj\\^Uvd>g\\bAjTwbbPdwnbd`v<XoLHZnwrUPxGF`ae@QG^edV?b?sv`OGvWbpUhF[EsMRcAhuebAiv`EcKQfH?wTib`;WRwrA_U;UycaF;gVMeH=cgicBRohYCI;KsnISZobB_yR=EAMuwORkGId?BcgV=;iLOfmSc_ghN;Dt]GLOrWOSIqF_YxLkcg;scksOUsTcyHYIMaXMGEd[UEgHmshQ]uYIGyWRPMIHQheoBk=xWiSGsThwcf_Y\\aWrgSnUV_msOsTvSuk]UC_ULAi?qhxKtnyr`igROBmUSluHPCsrIV]mu>MRdOhpOxGeDEmyTMflgsOUYwasGGhPaDqODwuiggXYkE_ehmodc]YXMFymhQYfTCHQUcO_G_aGUSXSSGsMIHChouCbqydowcqseYCvQhsqwXKroic@mI`WeKiSSqb<MdGKYo]uy;B=OIYCxXgD?mCCWfywfIQeaYyGMgl]i_YBZqhjSisIi@_YdcXxuCeAsRgD_cWosVaYflIXTuR<WseoR^_yaqCykvD[DOsTXaWngwRUsn_hqmel_sjCUWEwaibCSWqsuDwYKyR=UrXOgiKbhUhGqgDshjaTe]rAyI:yS;qcnSUSiC[YH]kVkIeQkRgyerIwS[uwUbo]BegvCisXmgeGyOwTW;Xw_g\\]EVAwbcDIuEpuWeOIQeTVyuhGs\\IxGoWwQXgIGCgdpahAcYisEo_fbIGyKWq]yhIYhUVmMEVAgLGVK_iOMsy;bTwBMwgkoyk]ysUcDWBgCgY?hRcEi?UGSIKGXggvNIwWysSUeQuHceXOqTbKywgWRWujCgNYHwksIMRAqediHCgeyQUVQbOcFS]Y__tFocvqipMYkWiVweBiiSisCIHCAepUuYmFhOTXgDeqwrSsl]u<]w]OVY]dQqXXuS_IHCeFXMw@UWnsvKeHUuuFGvNcynaxy;bAex\\YeJEIj;IYudigYvMHsOWmyFy?vG=CDuh\\WeauFIWxYEhmuTlgyvaXZuvfWv>mRTaU=WE]aW\\IhPMVWwsMEYriw`igUeVP;I]gbiWEwCI_gdeoVNWv?=y@WwW?ScstrAScIUsgWv_VekWcEHeUhMac@AE]SDXaW@Ctt`O\\\\yRtpQpM]UXSDwJYOGPNElYdiTVxtrasclW[TYsIMAAkdERnyL^uo@iy_INOAVEdqaUSPXV`lQsMqUhwUlywXqNEscyL;\\XiXQupJXAxnASeUoKqMWYUPHo@yjP@Q_ivDUsnurO`SAyMGElMttPDYxHuSpKSdxhAyS=oSYmdILCTwl]NOHuuPvftXfauEXvKpmOEWgmWQeKEQq^mRmHXNTVyhPhDtMaK_yLGdJeYxrUp@qtOeXoEq`HQTxlFmqKYYTpPYhnYYm>PLcURSxwiXM]@yfyQPdPnQlLYoJQvYexXuNNmXhES<QlMPSAlLltTipnrTpkTt`xndirVQK\\HSG<RR=VDaUFppJ<NLdr><J?<P:DL;aJJ<J:<Z?^mnpnJQ\\CY_DXl?IpUqnZO_LhghXbOVeoIcBapZFn:NuBwblwcUy]lvj[h[bpvbq^UPlGYt:il`W_v>bRxcLOoRfcDO`Lyj:V_wx\\=He`He;wfc^_\\>jL>oL`p_YmfglSvpSo[:Yo<ojAW]sofoIsrfrKw`Tgm@Qk_O[>Hhfiw]ffKOfXagtp`d^huVb@Qt:Of@HuTV^q@cLAnJPuJg\\@?tWQqI^nT@`KN_M>vp^^NOndNr^xtRHd;>]x^ZKg[>_\\BNeZVrRPuBOt:ikv>mcOlaVc]^\\;NwG^cJxrRH\\O?sT^b\\i\\=A^[fbJNnCXrK``OGZVOaMxnGHckgc=Xn\\QZrpp@ojpnm[`nc`bLQr=Ht?`^fNnOWxaVd`y`bP_:ieFW_KY\\XGjA@^\\VoL`[sV\\A@^:A[=AlLgaCOnD>^P>knno]Gdmg[e>MowO[sncXUusJKTDobXGv_YhuWD^_Xj?d^GQB]pjPT:eq;MWG\\on<PIttiDpRPXuUL@]LwARFDywYJbmPwXrO]t?LyAnuZhx:vq:WrJpuZLVEQ@`m@dxA<o?XRJxT?pJoeXItTJQnELjDTx>MTWIs?mV?mRS]o<hLCej^HK]<Vh`qCXnZIk]Lv@MMkAJ]\\YbLXxtshEvhPxEuXyYTi`Rm]vH]u`aPIaLCEPkUSMTTieopqVVhvLXVW\\QtiXZ]sOXsEUYhPleaoSYqrYWPdQPeyj]Ys]mUmtpLtoEQADknQOwmKOuUNyuUhOYEsnqLHUurYWwLyRpvYDYShvthKCAWkDUxPPyEmRhtW\\MkQu^DytImdhsgpr]ItqxP\\`MbIsEDWGlrKyKS\\xexL]qWVYTs`T_Mq\\qkApsX]kLepTEsLYObaXxyp\\IVmdtdUpsmppxY:Pv[\\qcUSDLXw\\mmUpXuOq\\owurIPVxpmHQWQQX_QwSytk@XUTwlpoDTphUtdqpphTr\\QKdysMPepOaevW\\RuLXEEsXYs]iofYW]PkU@om\\snxNLLjkPvFYqWhjWPsxQViTTXaqC<XZExy@ypIUjivpmqThsR<q_`jHlMvQrNHV`uJyxVkqTpLxlmpYQqTURqeKQPoKQoV@o<hLF]KUyqHxPldSU=UxLVhmYexWsdXcyt[pQNPmVPJrxY:\\YqywCQMpuYMTWauNe\\yHeks@Lc=lsXmI`JUmw^pVPao]xY:lkgmLriMWhTbYRduj`xU;iwgESHIm[xnjmTh`UhuqkYT_TjvLRPTo<INIhXkmXqQTQaoGmY[<RmdwpALUuR>=P]HxktpuqUkdpaEMs<y;Xsy=j<=UsylgmythUCLwSUmc=Sv<RQQMdTpwhq?<QEQuFuTDej<tKL<w><L:`J?<j>DJZ<J?]JL<R:<J:@Ld=s:POELn<IoZUrD]s:PlcPSlDtSQNJ=NS]uK=RjQJWXXPPSXHnUYLqmPV=J^hW@Eq[Dk<Ln<<J:<J:\\jJLTR<JO]LN<m:LK?DKDBJkHZOBL;B>CR[;B]?B[[HD]B?Or>;Db]BJAg<;R>KV=[DdORMMD:ib:ke[CBZcwBKDo=DK?RtUBEOU;Or?Qd<UBJAW;iB>Qw@[BkErdORf]G:gRbcI@;BQmc;sb[;HF=BVORB[g<;c?KFDGfbOBBb]gsvCiEuwm]IUMxPetLsThqVuATVWEqeXtGgnciLQSbMgk=G`qfT?g<eUHyt<owhogoYiLcWc[CQOdwqrhixW_Ugmco]RoEv?YRbgemwWLoGGaiWMEoMCoEIyGhuGyqCDUOd^ou`?Hh?sy;b\\uXIeX[MchUxGmr>SeoEIhuWecgtcbtes=ysfmyHYWWoXhOspUUk;eiCF]GeUqw>]S?GyuaDd]tvksYMcviDUyXumT__rLgt<icrKUxuVouHe=uD_ScQEQ]ReavcofUUFYufLwSRIDmIXfiGh?xWWWDGXNUTEcsbGuEUVqwXimWaqw^SgREW[ir;;YMuGYivWYtGGu]kVNaYHyXFkWhgWgmbpev@efAubH_vustPWbyYguMUoOG\\Ue`MVvYSPYv;?Ta?TaWtQIxUCgwaHqWUCutE_f>EXqWYyqcgEy@[TeAS[qt@IErqvb?ytaHdaTdMxpsU]qxWyI:QvhQtN=XLuEiOxEWug_cquSgQg`eDVSwOOcvWSlsYm[hu]xVOrBaVvquxigeOXkoyGcRyQTbcxh]ePCfceHWGGySFmSTMSCMSTP[i<AS[cGqYyGWiNigV[sncVDwyAcHtYuWyhjaW@UtC]UrWT?AIwSsr]SGuxBKC`wWmkg;QrBcVesY]KxWeUkgcdUWtSCxYh^qehqHhcGqWFW?yCurEOgugXaobEKrD[xrseO_iy?Iy=iVeE]adb?ws;yIUhUYYUcuH_TceuOCbGUXuUTnqTaOeVEtVqhjIihQClAhvicukhpGHuCCouYGkuR[TgyWuSubkGisHcwY_eElqfSYGqqgbMieqsH]dYcXQkRCUIjCIpqUysX?EIHqx\\gykUdMUW_eC<iYTWgaOWS]TFQt>Su\\CYUWTYcWcMghItnEdEQWbgG_sCswcOcyUOwiSYHpuOhWgDQjUQYXNyTUeHwueNiPWyUpMak>]RAmX]AoRHMjYWa\\NGIq]XlUEYSXrulOd`TitWCyW@ayITxMhJ?YsKxcHOaYgdFhphpk@X_BpfQOqNHn`OhEXnKggmvkkyxqWqNqvh`n\\Ptcgr]ox^Vfk_fGicu^p`Ak_HaVvsThuVWu<o[Nappxu`fcyHliOfqi[tQtLyy:fuxI`hFubxmM^hVwr=xnRXdSPsrieWiuLympOeVHgFw\\si]uNpMI[tNtCPpF_dLarVIeb`\\FGvvyaCiuyhhUUEeTOWv<;v_wcMSywOGoEuLoDoMSKeYG_gUmvqerU=dPOrqAcIgyw?EkWiOUFEsCXsrmOVxQroYuHiSqqDP;e_KCmAuFqb__UdIgTeGmMsMAr]_yWiuXoTqid>QV_AS;er[cXn]ytaeVOSwqh`=GDexKOTM_Su_XuisTcDtaD^wrYEEhwxuECD?dtQf\\WWFyDnuhvqx\\qwT[C_ESLehCKYfAh>WxFquXqfbigHcdc=dLCyVgua;ssaW_mihWX<Iwr;xd=ygivW_d`qgD]hD;U^gcmaGrWU]ASkaxhoeGAedmdV?IyArUmCqGVdIxJsyT;xj_ypQg_ccKQHcwVdss>=h?SuWirGqdSaXQeHPexvGyDQtEotUEwJAs[_eyWYqeygHOq\\snmo`huNyogqptentdsEauL<sgIw`YqyTNwEqMHmIyPvpxpQooyRdtsZhpvYQkutolrCPV]LRgioJASKDVOiLiLQ\\UxftWhXQEXTnyPp]n?aOGQQZ<sK<N:<S:<JKLT:<J:<Z<@b:FenVpRnjMPZoPa]Aboqq?@j<nbNfhrGpCAZZF[ZB:;:Z<L:<J?AJJLj:<lB<J^PJZDk:<KDTl:=NK@R[Dn<AK>QJ:<ZJ@^b^Z;`ZL>Z?OZ>@jK>b[``DFZN:<NL<J:MLBMk><JJ`J::`mGpYAywvTMdMWQlTIxMOEMxPooQwVYuCYw<`kbXxlAwHisgijEtwO=Salo_mppqXfeopPn\\LQWxPceuVqXemwIxY:xsVijxPVUHSwt_?>yPhnx`mPH_eYgFiwEWvpPtPxpgwdy>xlp^UV]PnvhQbnVlhH_xh^VPvigs]F[MIsCymyWhtHqp_r]>a?qhwpgEHoYOrDYew_rpyxjvgA@eyAZ:ywRWuUWuaX]dGktpvSYeRAeqWahpatxtOoex_fYi\\rnxWWlkgaQicbhrEQlfOxqphGiggng]owLolaPvjiaV?vhhb@Iev>]JXuUgjxPsIXnkAiM`]ppoRowsgiWIoIwgW^swyxaF_yNxwi[Y``oiwfIckgduY^oXh_offY^hGhfXfgid\\ws[Of^YfCnbkxjohd[yxonqnNxa_feqvIIxPaogGnWN\\oaeKGrDAqnIaYP\\Ny`Q`]TXcOymCPumHxUYilVdqP[CGheH\\vqcOQv[yxy_tUXnXOqhHuMqnFxew>_HarVOexoqXnZc_i_gllxwtipbithQrxxZ__ywGk;Oej_x?gtdNpIQvUiwpG_bQsOPfm>oBxkL>hsHmYxZ=Vg\\wdxPa^IfF`loYd<uuEVqqdWeRdcScoBrmYAUciohqmHHoHOYDAOhesiWwxveHHOSxweZaU\\kgauFLGhRGGAuenwiWwiDWhDoSWMTSAVdWdsirC_y>gdamvrEwy;RuuSCuViqw<UDhKgeEvY=xfsxuMUwghhOwlmBksUDIS<yV]mwI=bVQRQgWdieH]yTwy;WUUKsgySU]se?se;IpWyWcgneUeeTN=GcehASdkat>gcq]SFcrvqsqYvgiwQKhpuhLmvKgtIGdCiYimwpoDqYTAocbyxoGrWyUvqePOYuYWhYGKMecQfMcDrYeuceuIxpQYpgfmgYmQhLWIgeVFQGlEIYEtgiUWaeVeVBmtNOimAGxuwdouhOuiaDQ;EbcWkCs_CrScEKWdqUYUmF`wwmmCvUxJeUVMHcMGEyI:sXPyI:cY=sT]iw;eTPOse=wnyu>eWXAhuyI:MwW[IugyxocOEFjgHxuXhuv^iwTefviVuYXSKbkMtgAW;]H?wtpOxuGxp]ukAtduTFqs<AiGOhEOcpAwmyCo]hSCHEIXKeGLWG;yX>oBXoHumVasUDIfrii_WIPCFQ_F_gd_qFsWty;RXKRUIyD_dNwEmmcfUfugxk]EHqhMetbWV`Ocokfc[GjshyycU?YbGW^WTdGcosSlqsU_UkgxouVqSyw[sp=HQCvRQrYmGIuEQGxqmgugcwiu<urDCdheSyYTMgEmYSK?hT]WX=GEUYEkt\\SvBKtlec`qi`qyagbYyXjuTeeY`qxOeEcMW]wtKISrUgLWirGYsOSJOyceXaITvqeOeiWehYGGhEXJKSkCs_:FMuXpGTvyeRIyxEexsrEEvpmX_YEQgV`?tLYddIvbmWUst\\CVvQVjkvy;RvqrMwyquxy;RNWVN]RF?YSSFmCHxasucrWqtd[bmWrFiVnAw_aWfauisYHqE?eyLyI:YUwusA]YEQU]OhX?GgEXo;y\\qCFadu]xTEWGcEEIUNMDHstpAFveT[qigoiYSvtsE[cWUWgIosQsxXqt@gsSsxgoRL]yd?YPoEmYskETkkdiCBa?gVsXfSfkcsvqs`_SpgyGgrvaxAmy_eiJWIUusfqXmqi`ixEuROyI:asnQXUWeOeXdGDfmdCESyeVaAhMSyTETKQVGsbaSsmyrZIBmmgqgewgXoEuCUgeKfsWuhqYUSxGicR?wpYdn[yjIbwucBohPiT?ohX_XcOevASVcWgmwcgeHMg_SC`IY>IWSsfCeeuIIYaYoiw\\sDSyVpqfIisy;Roigy_XlSIUsH[UeleC]uedSgguH`ohZiW;KDe_rFmcKuxdkbmUymYSvquTiduYhhMyckrrSdTeuW_i]?iwwX<MWKOXMuY=yBxUve=ywyMUimG@mrLskXnAtpQHjslS`tWPUvC@kahmmxPshk=EuxESHQQvXnI<wdAyOXuXiuqXrOqxKlUpAv`qOKUwDQMt`LAEV`ULqUVThSQQMxLnmAQqIL?XSOtNyYxsDqp]S]AQ?qXwpSXPNvap_yPyhqv<xiujRiMuTMeUynUVgETq`UUUOuUkHtVqyshhPOytYDmqdRFmxWULkiqVioYyY:<wAmr@xwQxY:hxYMKntS]mVqYqlxKiPqO=xfdQ\\yl]qn\\QoFYm]hVliumTxsAQqdODUYUPXHLqUIoLEUhiwVePVLTcaNMapTUPEHPKejBMxcxlAiw`QwZYOMEJs`RoUnSpk>hUhul_=WoiwbYrcPkwYmj\\joeR_\\mdHmMmy_Lo_pND@QdllVupUTkFEp>aKctvSPlRIqVuPSTx?MnUePUPSJ\\t=ImP<J:DL:ML:ML:<Z::::::;FC;BZ::::ZDHZZZ>::::::::::::::::::N\\:>Z:>::::::::::::::::::::::::::::::::::::::::::::::::::::::xqyaG:3:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlNUtGKi0lKUNISUxEUkVORzYi

Cap\303\255tulo 5

Limites no Infinito

Quando uma vari\303\241vel independente como LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= cresce sem limites, isto \303\251, torna-se maior que qualquer n\303\272mero finito que se possa conceber, n\303\263s dizemos que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= tende ao infinito e escrevemos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZyYXJyO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUY2Ni9RKCZpbmZpbjtGJ0YvLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0YyRjtGPkZARkJGREZGRkhGSkZNRjk=.

Da mesma forma, se uma vari\303\241vel independente como x decresce sem limites, isto \303\251, torna-se menor que qualquer n\303\272mero finito que se possa conceber, dizemos que x tende a menos infinito e escrevemos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEnJnJhcnI7RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtRiM2JS1GOzYtUSgmbWludXM7RidGPkZARkNGRUZHRklGS0ZNRk9GUi1GLDYlUSgmIzg3MzQ7RidGNEY3Rj5GK0Y+RitGPg==.

Um limite no infinito \303\251 um limite no qual a vari\303\241vel independente cresce sem limites, e escrevemos um enunciado para limite da forma 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.

Da mesma forma, um limite em menos infinito \303\251 um limite no qual a vari\303\241vel independente decresce sem limites, e escrevemos a declara\303\247\303\243ode limite da forma 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

Quando escrevemos uma nota\303\247\303\243o como 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, estamos tentando dizer que o ponto onde o limite \303\251 calculado \303\251 o infinito. Mas infinito n\303\243o \303\251 um n\303\272mero real e tais limites requerem tratamento especial em termos da defini\303\247\303\243o exata. N\303\243o vamos, contudo, dedicar tempo algum \303\240 alguma defini\303\247\303\243o formal de limites no infinito. Em vez disso, vamos nos concentrar em desenvolver uma compreens\303\243o intuitiva de limites no infinito e uma habilidade de manipula\303\247\303\243o necess\303\241ria para avaliar estes limites.

Neste cap\303\255tulo aprenderemos umas poucas t\303\251cnicas para avalia\303\247\303\243o de limites no infinito sem o uso de um gr\303\241fico. Apesar dos coment\303\241rios anteriores sobre as dificuldades de visualizar um limite no infinito, n\303\263s veremos como gr\303\241ficos podem ser usados para ajudar com a avalia\303\247\303\243o de um limite no infinito. O cap\303\255tulo Limites no Infinito d\303\241 continua\303\247\303\243o a alguns dos t\303\263picos j\303\241 introduzidos aqui.

<Text-field style="Heading 1" layout="Heading 1">\303\215ndice de Termos</Text-field>

Os seguintes termos, neste cap\303\255tulo, t\303\252m conex\303\243o com o Dicion\303\241rio do Maple; para mais informa\303\247\303\265es v\303\241 em Dicion\303\241rio Matem\303\241tico.

ass\303\255ntota

limite

grau

denominador

avaliar

finito

fun\303\247\303\243o

gr\303\241fico

vari\303\241vel independente

infinite

infinito

intervalo

limite

negativo

numerador

obl\303\255quo

\303\255mpar

per\303\255odo

fun\303\247\303\243o peri\303\263dica

polinomial

positivo

exponente

regra do produto

produto

qu\303\255ntico

regra do quociente

fun\303\247\303\243o racional

real

root

sandwichresult

value

variable

zero

<Text-field style="Heading 1" layout="Heading 1">Inicializa\303\247\303\243o</Text-field>

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUShyZXN0YXJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiO0YnRj0vJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y6Rj0=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

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Hyperlink linktarget="Wks:../../Dicion\303\241rio/E/exponent.mw" hyperlink="true" encoding="UTF-8"></Hyperlink>Fun\303\247\303\265es Racionais e Pot\303\252ncias</Text-field>

O fato fundamental usado para avaliar todos os limites no infinito para uma fun\303\247\303\243o racional \303\251 o enunciado bastante \303\263bvio

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 = 0

As Regras de Produto, Pot\303\252ncia e Raiz podem ser usadas para achar o limite no infinito de qualquer pot\303\252ncia (negativa). Para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMEYnRjktRjY2LVEiLEYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GOQ==

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 = 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 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv

Se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= , ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JkYrLUYjNiZGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjlRJ2l0YWxpY0YnLUY1NiRRIjBGJ0Y4LyUxc3VwZXJzY3JpcHRzaGlmdEdGTEYrRjhGK0Y4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZTLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA== = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtbkdGJDYkUSIwRicvRjtRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdGQEYrRkFGK0ZB = 1 para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVElJm5lO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= e assim 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 = 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 = 1.

O limite no infinito para pot\303\252ncias positivas de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ser\303\241 discutido no pr\303\263ximo cap\303\255tulo.

A verifica\303\247\303\243o gr\303\241fica destes resultados n\303\243o \303\251 realmente necess\303\241ria. Mas \303\251 importante que voc\303\252 entenda bem que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GOVEnaXRhbGljRictRiw2JVEia0YnRkNGRi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZSLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA== decresce at\303\251 zero mais rapidamente que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GOVEnaXRhbGljRictRiw2JVEibUYnRkNGRi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZSLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA== quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= >LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= >0. Esta afirma\303\247\303\243o est\303\241 ilustrada na Figura 5.1.

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

-%%PLOTG6+-%'CURVESG6%7dw7$$""!!""$"#5!""7$$"0jD^-0wD&!#;$"#5!""7$$"08E_/>A$)*!#;$"#5!""7$$"0Rxa4&o(\"!#:$"#5!""7$$"017C[eb,#!#:$"#5!""7$$"0pPv]q4`#!#:$"#5!""7$$"/3;KM#)3I!#9$"#5!""7$$"0V'GdCh.N!#:$"#5!""7$$"0Pu[(RK:S!#:$"#5!""7$$"0oNrU%RDX!#:$"#5!""7$$"0d9Hek+0&!#:$"#5!""7$$"0a3<M%>7b!#:$"#5!""7$$"0([(\*HWKg!#:$"#5!""7$$"0)f>Ry#[b'!#:$"#5!""7$$"0"3;KCCeq!#:$"#5!""7$$"0w_06"R:v!#:$"#5!""7$$"0kFb5&)*e!)!#:$"#5!""7$$"028E_![>&)!#:$"#5!""7$$"0:He;Y^0*!#:$"#5!""7$$"0jD^-,$H&*!#:$"#5!""7$$"0kFbS_\+"!#9$"#5!""7$$"0,,-%**[a5!#9$"#5!""7$$"0-/3;xh5"!#9$"#5!""7$$"0h@V;UO:"!#9$"#5!""7$$"0d9HeR[?"!#9$"#5!""7$$"/.17$>!e7!#8$"#5!""7$$"028EU7VI"!#9$"#5!""7$$"0E^-D5VN"!#9$"#5!""7$$"0Y#\)*G'fS"!#9$"#5!""7$$"0W)oP\\c9!#9$"#5!""7$$"/'>RG(Q0:!#8$"#5!""7$$"0Y#\)*Qnf:!#9$"#5!""7$$"/4=OGX3;!#8$"#5!""7$$"/">QwM0m"!#8$"#5!""7$$"0yb6tGxq"!#9$"#5!""7$$"03:I?C$f<!#9$"#5!""7$$"0`06_ry!=!#9$"#5!""7$$"0#Rycuhe=!#9$"#5!""7$$"06AW)3B3>!#9$"#5!""7$$"08E_ar,'>!#9$"#5!""7$$"0Pu[d'>5?!#9$"#5!""7$$"0#['HRa81#!#9$"#5!""7$$"0Y#\)f)37@!#9$"#5!""7$$"0h@V13(e@!#9$"#5!""7$$"0$e;L#R@@#!#9$"#5!""7$$"0pPvqG*fA!#9$"#5!""7$$"0(QxaA)3J#!#9$"#5!""7$$"0.05I^'fB!#9$"#5!""7$$"0['HfI!QT#!#9$"#5!""7$$"03:I]%pgC!#9$"#5!""7$$"0Gb5r;R^#!#9$"#5!""7$$"/%ze(HUiD!#8$"#5!""7$$"0mKl?"[:E!#9$"#5!""7$$"0;Kk[h7m#!#9$"#5!""7$$"0/29))*R8F!#9$"#5!""7$$"0#\)p*HwjF!#9$"#5!""7$$"0zd:@$49G!#9$"#5!""7$$"0w^.FQU'G!#9$"#5!""7$$"0$oOt>T7H!#9$"#5!""7$$"0b5@-*[kH!#9$"#5!""7$$"09GcAAT,$!#9$"#5!""7$$"0)e<N)ej1$!#9$"#5!""7$$"0kGdaXO6$!#9$"#5!""7$$"0LlI@1f;$!#9$"#5!""7$$"09Gc#G'f@$!#9$"#5!""7$$"0(\**)f(*eE$!#9$"#5!""7$$"0e;Lma!=L!#9$"#5!""7$$"04=OA$4mL!#9$"#5!""7$$"0,-/G"H:M!#9$"#5!""7$$"0_/4y6'pM!#9$"#5!""7$$"0iBZa%z=N!#9$"#5!""7$$"0$e;LJ4pN!#9$"#5!""7$$"005?]X-i$!#9$"#5!""7$$"0d9H[ksm$!#9$"#5!""7$$"0&)pR>&Q<P!#9$"#5!""7$$"0d9HQCrw$!#9$"#5!""7$$"0OrU&)H.#Q!#9$"#5!""7$$"0X*)yP"GnQ!#9$"#5!""7$$"0CZ%*o`9#R!#9$"#5!""7$$"/17C+MqR!#8$"#5!""7$$"0#\)p\5(=S!#9$"#5!""7$$"0OsWHC22%!#9$"#5!""7$$"0Y#\)\[H7%!#9$"#5!""7$$"0Hd9zk/<%!#9$"#5!""7$$"/'>R)\#4A%!#8$"#5!""7$$")#p,F%!"($"#5!""7$$"0u[(\/bBV!#9$"#5!""7$$"0"=Os+upV!#9$"#5!""7$$"0$e;L0zAW!#9$"#5!""7$$"0Qw_vgEZ%!#9$"#5!""7$$"09FaG\?_%!#9$"#5!""7$$"0hAX5x9d%!#9$"#5!""7$$"0Gc7N!*=i%!#9$"#5!""7$$"0@T#[vKvY!#9$"#5!""7$$"0jD^ACVs%!#9$"#5!""7$$"0U$oO-psZ!#9$"#5!""7$$"0=Nqq#RC[!#9$"#5!""7$$"09Gci#)f([!#9$"#5!""7$$"0.17k(GA\!#9$"#5!""7$$"0yc8FRr(\!#9$"#5!""7$$"/$f=dOI-&!#8$"#5!""7$$"/05?'=n2&!#8$"#5!""7$$"0PtY$H&z7&!#9$"#5!""7$$"0Pu[2*pt^!#9$"#5!""7$$"0&)pRRX^A&!#9$"#5!""7$$"0KjEtKpF&!#9$"#5!""7$$"0)e<NRZG`!#9$"#5!""7$$"0>QwAfiP&!#9$"#5!""7$$"0v],8QdU&!#9$"#5!""7$$"0b4>G4pZ&!#9$"#5!""7$$"0oNrK;z_&!#9$"#5!""7$$"0d8FM$Q!e&!#9$"#5!""7$$"0'Hf=jfEc!#9$"#5!""7$$"/'>R=@'yc!#8$"#5!""7$$"0rT$o'f3t&!#9$"#5!""7$$"0>Qw7,7y&!#9$"#5!""7$$"0Rxa*f"p#e!#9$"#5!""7$$"0([(\Rv7)e!#9$"#5!""7$$"0U$oO\KFf!#9$"#5!""7$$"0.05]"*3)f!#9$"#5!""7$$"0nMp)pIGg!#9$"#5!""7$$"0v\**GH.3'!#9$"#5!""7$$"07BY#o')Hh!#9$"#5!""7$$"08E_/a:='!#9$"#5!""7$$"0sV([!>!Hi!#9$"#5!""7$$"0oOtY;-G'!#9$"#5!""7$$"0T#['>'RLj!#9$"#5!""7$$"0=NqI*ozj!#9$"#5!""7$$"0PtY8(oHk!#9$"#5!""7$$"0d9HyR8['!#9$"#5!""7$$"0b5@#=(=`'!#9$"#5!""7$$"0rT$oTw!e'!#9$"#5!""7$$"0d9Hy]]j'!#9$"#5!""7$$"0,.1sHQo'!#9$"#5!""7$$"0@T#[;"ft'!#9$"#5!""7$$"0*yd:c5$y'!#9$"#5!""7$$"0>Pu3,Z$o!#9$"#5!""7$$"0kFbS[K)o!#9$"#5!""7$$"0.17M%*R$p!#9$"#5!""7$$"0AW)oxg$)p!#9$"#5!""7$$"0C['H%[b.(!#9$"#5!""7$$"0['HfMd&3(!#9$"#5!""7$$"0$pQx7tOr!#9$"#5!""7$$"0d9H[lu=(!#9$"#5!""7$$"0sV([\3Ms!#9$"#5!""7$$"0%ze<h^(G(!#9$"#5!""7$$"/)f>f0`L(!#8$"#5!""7$$"0)f>R"fiQ(!#9$"#5!""7$$"09Fa=G]V(!#9$"#5!""7$$"0f=P%*z"*[(!#9$"#5!""7$$"0>PuQrg`(!#9$"#5!""7$$"0Rxaf$H*e(!#9$"#5!""7$$"0^,.')*zPw!#9$"#5!""7$$"0xa44e3p(!#9$"#5!""7$$"0Fa3PQmt(!#9$"#5!""7$$"0:Heww()y(!#9$"#5!""7$$"0/29))R"Ry!#9$"#5!""7$$"/*zf4q%*)y!#8$"#5!""7$$"0(Qxa^hRz!#9$"#5!""7$$"0&*)yd))y()z!#9$"#5!""7$$"0mKl!f')R!)!#9$"#5!""7$$"0D]+6*\*3)!#9$"#5!""7$$"0*zf>dtT")!#9$"#5!""7$$"0v],VA!*=)!#9$"#5!""7$$"0W([(4$GT#)!#9$"#5!""7$$"0D]+rR8H)!#9$"#5!""7$$"04<M[u7M)!#9$"#5!""7$$"0pQxaJMR)!#9$"#5!""7$$"/-/3,ZT%)!#8$"#5!""7$$"07C[;o1\)!#9$"#5!""7$$"0jE`m))\a)!#9$"#5!""7$$"0tX"H9<%f)!#9$"#5!""7$$"0%ze<+ZW')!#9$"#5!""7$$"0;KkQAcp)!#9$"#5!""7$$"0oOtOTEu)!#9$"#5!""7$$"0'>Ry?w#z)!#9$"#5!""7$$"0oOtE,D%))!#9$"#5!""7$$"0Z$pQnq&*))!#9$"#5!""7$$"0c6BEeE%*)!#9$"#5!""7$$"0NpQdIo**)!#9$"#5!""7$$"0rU&3prX!*!#9$"#5!""7$$"0/29Q(3%4*!#9$"#5!""7$$"0Z%*)y65Y"*!#9$"#5!""7$$"0d9HQD$)>*!#9$"#5!""7$$"/%zenTeC*!#8$"#5!""7$$"0rT$o=I'H*!#9$"#5!""7$$"06AW3YbM*!#9$"#5!""7$$"0'3<Mt#*)R*!#9$"#5!""7$$"0#Rycp6X%*!#9$"#5!""7$$"0%ze<u;)\*!#9$"#5!""7$$"0\)pRw.[&*!#9$"#5!""7$$"0D\)phU(f*!#9$"#5!""7$$"0sW*))R&ok*!#9$"#5!""7$$"0RycBnsp*!#9$"#5!""7$$"0KjEV/2v*!#9$"#5!""7$$"0uZ&46q*z*!#9$"#5!""7$$"0`067n![)*!#9$"#5!""7$$"0Hd9fp(**)*!#9$"#5!""7$$"0D]+^f8&**!#9$"#5!""7$$"$+"!""$"#5!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&k~=~06"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7_y7$$"/DJq:+V;!#;$"0D'\yt1nC!#87$$".D19.gG$!#:$"0#)yH2![W<!#87$$"/v$4r/!H\!#;$"0v$3:?OC9!#87$$"-D"G1?d'!#9$"08[#*oLNB"!#87$$"/Dc^y+:#)!#;$"0'znsgI.6!#87$$".v=U4!e)*!#:$"0EI(Rg<25!#87$$"0v=#*4,,:"!#;$"0"f"f@QYK*!#97$$"-Dc7S98!#8$"04%*[O+Cs)!#97$$"0D"G89qy9!#;$"0%3KGzbB#)!#97$$"/DJq:+V;!#:$"0')[r0_:!y!#97$$"0vVts,t!=!#;$"0VVX-)[Qu!#97$$".vV)=gr>!#9$"0x=a25=7(!#97$$"0D19/-f8#!#;$"0mjZz8C%o!#97$$"/vV)>--I#!#:$"0P&e9\^$f'!#97$$"0voaN-XY#!#;$"0r"f!eS*pj!#97$$",D^-)GE!#7$"0jSiWow;'!#97$$"/DcEGSdH!#:$"01'fwN$\"e!#97$$".D19.gG$!#9$"0#)*Qj.`;b!#97$$"/voaMg9O!#:$"0fHRK0)f_!#97$$"-voP?VR!#8$"0H^')>!)e.&!#97$$".voR//g%!#9$"0'z&z5>Bm%!#97$$"+D]gd_!#6$"0/ZC=+7O%!#97$$",vxJ%He!#7$"0A6vny<9%!#97$$"*`e7S'!#5$"/s4y%eC&R!#87$$",DG&3tp!#7$"0))H@/Kpy$!#97$$"+N?"\a(!#6$"0-5y`*fSO!#97$$"*al&)o)!#5$"0"Rdtwa#R$!#97$$"+X!>A$)*!#6$"0P@(=Z9*=$!#97$$"-v*\`/C"!#7$"0Fo"=+HRG!#97$$"+&4&o(\"!#5$"0@)\fN)Re#!#97$$",&)y@mv"!#6$"0@cCTZfQ#!#97$$"+#[eb,#!#5$"0%)>'R4UFA!#97$$"+20(4`#!#5$"0`sBsDx)>!#97$$"+KM#)3I!#5$"0s!\")G1B=!#97$$"+dCh.N!#5$"/feuoV*o"!#87$$"+vRK:S!#5$"/%4!Q)="y:!#87$$"+FWRDX!#5$"0[7m]Bl["!#97$$"+$ek+0&!#5$"0"*R94'=29!#97$$"+UV>7b!#5$"0N"p,u!pM"!#97$$"+&*HWKg!#5$"01N#H#=vG"!#97$$"+Ry#[b'!#5$"0eh<,\^B"!#97$$"+KCCeq!#5$"0V<f1(G!>"!#97$$"*6"R:v!"*$"0Y<1b<N:"!#97$$"+0^)*e!)!#5$"0hSD$\$R6"!#97$$"+A0[>&)!#5$"0Z6U]6M3"!#97$$"+mh9b!*!#5$"0C<3#z(30"!#97$$"+D5IH&*!#5$"0&\z!y*RC5!#97$$"+0C&\+"!"*$"03W2dH`(**!#:7$$"*%**[a5!")$"0fj^,-#Q(*!#:7$$"+hr<16!"*$"0%4H$zmz]*!#:7$$"+k@k`6!"*$"0r$*)*Q;.J*!#:7$$"+$eR[?"!"*$"0.#*p!oN5"*!#:7$$"+7$>!e7!"*$"0'zOh%=d"*)!#:7$$"+BCJ/8!"*$"0sN()=pgv)!#:7$$"*D5VN"!")$"0^LM%H#Hf)!#:7$$"+)*G'fS"!"*$"0A(3z8gL%)!#:7$$"+Q\\c9!"*$"0Uj'*36gG)!#:7$$"+%G(Q0:!"*$"0m?m&GM]")!#:7$$"+)*Qnf:!"*$"0Q!=]YC2!)!#:7$$"+OGX3;!"*$"0$yr^N*[)y!#:7$$"+kZ`g;!"*$"0amiQb-w(!#:7$$"+J(Gxq"!"*$"0a.&)zuAl(!#:7$$"+.UKf<!"*$"0$oq$>J#Rv!#:7$$"+@:(y!=!"*$"0fkSs:tV(!#:7$$"+duhe=!"*$"0()[5N#3Nt!#:7$$"+%)3B3>!"*$"0'yw'R*4Rs!#:7$$"+X:<g>!"*$"09x8eWD9(!#:7$$"+vl>5?!"*$"0@S^F6J0(!#:7$$"+$Ra81#!"*$"/&=$e3/lp!#97$$"+)f)37@!"*$"0bjx?z3)o!#:7$$"+k!3(e@!"*$"06#=GR<1o!#:7$$"+L#R@@#!"*$"/X#ojuMs'!#97$$"+2(G*fA!"*$"0E#)Q(f+_m!#:7$$"+bA)3J#!"*$"0'\jc3Eyl!#:7$$"+,8lfB!"*$"0iS+]E*4l!#:7$$"+fI!QT#!"*$"0X9+x*[Ok!#:7$$"+.XpgC!"*$"0_2LKn[P'!#:7$$"+6n"R^#!"*$"0[sP2DqI'!#:7$$"+wHUiD!"*$"0hONOWqC'!#:7$$"+17[:E!"*$"0,MTCbL='!#:7$$"+'[h7m#!"*$"/`+F+%*Hh!#97$$"+"))*R8F!"*$"0/'3$\g22'!#:7$$"+(*HwjF!"*$"0&*f%zM>:g!#:7$$"+6K49G!"*$"0">*\vf6'f!#:7$$"*FQU'G!")$"0*H2duu3f!#:7$$"+t>T7H!"*$"0ZzZ!fnfe!#:7$$"+A!*[kH!"*$"0'zlE&zz!e!#:7$$"+EA79I!"*$"0.2LOh*fd!#:7$$"+N)ej1$!"*$"/pcL!*o5d!#97$$"+Ybk8J!"*$"0:z$=#frm&!#:7$$"+8i!f;$!"*$"0.g`t*=?c!#:7$$"+EG'f@$!"*$"0ePx$*yid&!#:7$$"+*f(*eE$!"*$"0T?6w%[Lb!#:7$$"+jY0=L!"*$"0a&e,;#)*[&!#:7$$"+CK4mL!"*$"0oBsN20X&!#:7$$"*G"H:M!")$"0cVT/26T&!#:7$$"+"y6'pM!"*$"0KYUf"eo`!#:7$$"+XXz=N!"*$"09a"*zI4L&!#:7$$"+LJ4pN!"*$"/O6)eLKH&!#97$$"+-bC?O!"*$"0'Q)*)40dD&!#:7$$"+$[ksm$!"*$"09qU+/>A&!#:7$$"+%>&Q<P!"*$"0CZ2j"e'=&!#:7$$"+$QCrw$!"*$"0^DcOFA:&!#:7$$"+a)H.#Q!"*$"0EjZ@Ci6&!#:7$$"+y8GnQ!"*$"0f"H)3s]3&!#:7$$"+*o`9#R!"*$"0WvJZE)\]!#:7$$"+C+MqR!"*$"0%\o<7k=]!#:7$$"+(\5(=S!"*$"0XDa!oM))\!#:7$$"+%HC22%!"*$"0K)Gu\Pc\!#:7$$"+)\[H7%!"*$"-FZW)[#\!#77$$"+"zk/<%!"*$"0#y#*y"[n*[!#:7$$"+%)\#4A%!"*$"0d=9U!Rn[!#:7$$")#p,F%!"($"/<p2LCR[!#97$$"*X]NK%!")$"0Ek\Ow#4[!#:7$$"+s+upV!"*$"0WGY+"z$y%!#:7$$"+L0zAW!"*$"0**yv:9]v%!#:7$$"+b2msW!"*$"0%H@:1VGZ!#:7$$"+&G\?_%!"*$"0&3VS%QDq%!#:7$$"+/rZrX!"*$"03*f1p/xY!#:7$$"+^.*=i%!"*$"0toc`p9l%!#:7$$"+[vKvY!"*$"/^o()3"[i%!#97$$"+DUKCZ!"*$"0r1v2m2g%!#:7$$"+P-psZ!"*$"0#>>U[RxX!#:7$$"+2FRC[!"*$"0"\dh5!Gb%!#:7$$"+DE)f([!"*$"0phFv^'GX!#:7$$"+TwGA\!"*$"0R*f?/I2X!#:7$$"+r#Rr(\!"*$"0=kex%R#[%!#:7$$"+sl.B]!"*$"0_;+:p=Y%!#:7$$"+='=n2&!"*$"0s%G#>;#QW!#:7$$"+NH&z7&!"*$"0JN&=!*)fT%!#:7$$"+v!*pt^!"*$"0tSzXAkR%!#:7$$"+#RX^A&!"*$"/Q)p_DZP%!#97$$"+MF$pF&!"*$"09j#=g?`V!#:7$$"+NRZG`!"*$"0)H&y.,@L%!#:7$$"+E#fiP&!"*$"0O*Gnd!GJ%!#:7$$"+J"QdU&!"*$"0\de&e4$H%!#:7$$"+"G4pZ&!"*$"0C&HUM*HF%!#:7$$"+Ej"z_&!"*$"/k&)GRB`U!#97$$"+ULQ!e&!"*$"0'o`g@>LU!#:7$$"+;jfEc!"*$"0JY+1sd@%!#:7$$"+'=@'yc!"*$"0`#>ghT'>%!#:7$$"+o'f3t&!"*$"0`k%)eYs<%!#:7$$"+D6?"y&!"*$"0X0'R&>!fT!#:7$$"+&*f"p#e!"*$"0Z*e"psE9%!#:7$$"+(Rv7)e!"*$"0<FzJ$[BT!#:7$$"+N\KFf!"*$"0KPEOMu5%!#:7$$"+-:*3)f!"*$"/nm;$***)3%!#97$$"+&)pIGg!"*$"0y7Zh')G2%!#:7$$"+"HH.3'!"*$"03G%4dUbS!#:7$$"+Co')Hh!"*$"0zDJ$e+RS!#:7$$"+XSb"='!"*$"0'[XhU3AS!#:7$$"*0>!Hi!")$"0"o6b3t1S!#:7$$"+nk@!G'!"*$"0>S/ll.*R!#:7$$"+'>'RLj!"*$"0325NxN(R!#:7$$"+1$*ozj!"*$"0R&p9V8fR!#:7$$"+NroHk!"*$"0X:&z4rVR!#:7$$"+%yR8['!"*$"0^l3'\'z#R!#:7$$"+C=(=`'!"*$"0T4wkTF"R!#:7$$"+rTw!e'!"*$"0^fh_z")*Q!#:7$$"+%y]]j'!"*$"0%>"Rs*>#)Q!#:7$$"+=(HQo'!"*$"0Agd`2!oQ!#:7$$"+[;"ft'!"*$"0&\#3%[-`Q!#:7$$"+=c5$y'!"*$"0b4!*e(fRQ!#:7$$"+&3,Z$o!"*$"0V6h[x]#Q!#:7$$"+2%[K)o!"*$"0*yCXXc6Q!#:7$$"+UV*R$p!"*$"0s&)Qg"f(z$!#:7$$"+pxg$)p!"*$"018U+ySy$!#:7$$"+K%[b.(!"*$"0Uw[&R3qP!#:7$$"+dMd&3(!"*$"0YG>v^nv$!#:7$$"+w7tOr!"*$"0\w@)GEVP!#:7$$"+#[lu=(!"*$"0J5(*=G+t$!#:7$$"*&\3Ms!")$"0y<F$)*)zr$!#:7$$"+:h^(G(!"*$"0>\r$[L/P!#:7$$"+$f0`L(!"*$"0xFyD[Ap$!#:7$$"*9fiQ(!")$"0))p8(3\zO!#:7$$"+'=G]V(!"*$"0\z)fMSnO!#:7$$"+X*z"*[(!"*$"/-R?07aO!#97$$"+(Qrg`(!"*$"0$=`DVtUO!#:7$$"+)f$H*e(!"*$"0&3^m*Q*HO!#:7$$"+f)*zPw!"*$"0zM.2%R=O!#:7$$"*4e3p(!")$"/>\`5*eg$!#97$$"+s$Qmt(!"*$"/xD"f1_f$!#97$$"+knx)y(!"*$"0EWa:`Je$!#:7$$"+z)R"Ry!"*$"/U.(\C;d$!#97$$"+&4q%*)y!"*$"06v$HQ@gN!#:7$$"+c^hRz!"*$"0^=J@`*[N!#:7$$"+f))y()z!"*$"/KJ0`BQN!#97$$"+/f')R!)!"*$"0k;,\dn_$!#:7$$"*6*\*3)!")$"/2*\h@f^$!#97$$"+=dtT")!"*$"0bz\bCY]$!#:7$$"+KC-*=)!"*$"0Y)e[8\%\$!#:7$$"+&4$GT#)!"*$".eH(QR$[$!#87$$"+3(R8H)!"*$"0UHI&H'GZ$!#:7$$"+#[u7M)!"*$"0j!4dAXiM!#:7$$"+[:V$R)!"*$"0hv]fx;X$!#:7$$"*6q9W)!")$"0KT3@U=W$!#:7$$"+m"o1\)!"*$"0'pytg&=V$!#:7$$"+j'))\a)!"*$"0QIt_I4U$!#:7$$"+F9<%f)!"*$"0xWR#y76M!#:7$$"*-qWk)!")$"00taP*=,M!#:7$$"+(QAcp)!"*$"0#py*zq6R$!#:7$$"+n8kU()!"*$"0K6IWR?Q$!#:7$$"*3iFz)!")$"0i;iZ'QsL!#:7$$"+m7]U))!"*$"0W*HT#))GO$!#:7$$"+Qnq&*))!"*$"07tTR;GN$!#:7$$"+h#eE%*)!"*$"0=3n=.SM$!#:7$$"+t0$o**)!"*$"0LC$>/#RL$!#:7$$"+4prX!*!"*$"0Q&yc$**[K$!#:7$$"+#Q(3%4*!"*$"0r%Qw^/;L!#:7$$"+"=,h9*!"*$"09(*>d-mI$!#:7$$"+#QD$)>*!"*$"0"[7lC?(H$!#:7$$"+y;%eC*!"*$"0;t#[!>()G$!#:7$$"+p=I'H*!"*$"0M;QM"yzK!#:7$$"+&3YbM*!"*$"0R/A!*G6F$!#:7$$"+Ot#*)R*!"*$"/<Hzk#=E$!#97$$"+bp6X%*!"*$"0F87-TQD$!#:7$$"+<u;)\*!"*$"0-`')RTZC$!#:7$$"+Qw.[&*!"*$"0tuK_ciB$!#:7$$"+rhU(f*!"*$"0.r\')=zA$!#:7$$"**R&ok*!")$"0,[@wQ'>K!#:7$$"+OsE(p*!"*$"/@Py)e7@$!#97$$"+KWq](*!"*$"0_#o!RZC?$!#:7$$"*6,(*z*!")$"0HA)Q:V%>$!#:7$$"*7n![)*!")$"0#H83wd'=$!#:7$$"+$fp(**)*!"*$"0;z`hX#yJ!#:7$$"+2&f8&**!"*$"0y*onl**pJ!#:7$$"$+"!""$"0Qo,mxA;$!#:-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q(k~=~1/26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%'CURVESG6%7iy7$$"/DJq:+V;!#;$"0OS+X@k3'!#77$$".D19.gG$!#:$"0=?]s5K/$!#77$$"/v$4r/!H\!#;$"0X8+:2)G?!#77$$"-D"G1?d'!#9$"045DO0;_"!#77$$"/Dc^y+:#)!#;$"023+H%G<7!#77$$".v=U4!e)*!#:$"0t1]d.W,"!#77$$"0v=#*4,,:"!#;$"0&>x&y()[p)!#87$$"-Dc7S98!#8$"0X]D"o-3w!#87$$"0D"G89qy9!#;$"0&[/+0pin!#87$$"/DJq:+V;!#:$"0OS+X@k3'!#87$$"0vVts,t!=!#;$"/w74/6Lb!#77$$".vV)=gr>!#9$"0kL](y,s]!#87$$"0D19/-f8#!#;$"/s(Qli=o%!#77$$"/vV)>--I#!#:$"0(f)G*QWZV!#87$$"0voaN-XY#!#;$"0"p-+VhdS!#87$$",D^-)GE!#7$"0BviS8S!Q!#87$$"0DJ&pE5$z#!#;$"0X)y6zC!e$!#87$$"/DcEGSdH!#:$"0UA+DX8Q$!#87$$"0v$f$)Hq@J!#;$"0cZ0rzL?$!#87$$".D19.gG$!#9$"0=?]s5K/$!#87$$"0DcwH..X$!#;$"0l!fGfH)*G!#87$$"/voaMg9O!#:$"/Qc/_bmF!#77$$"0v=<h.*yP!#;$"0spc>qik#!#87$$"-voP?VR!#8$"0#o^P*3g`#!#87$$"0D"yDR]2T!#;$"0:;+eoXV#!#87$$"/D"G3/=F%!#:$"/'QpKJ4M#!#77$$"0vV)RU5OW!#;$"0i"om,BaA!#87$$".voR//g%!#9$"0*HWY>st@!#87$$"/v$4r/!H\!#:$"0X8+:2)G?!#87$$"+D]gd_!#6$"0hPJq1?!>!#87$$",vxJ%He!#7$"0m[81Lar"!#87$$"*`e7S'!#5$"0C3@!G>i:!#87$$",DG&3tp!#7$".r"Ha3M9!#67$$"+N?"\a(!#6$"0Eq%*\'RD8!#87$$"*al&)o)!#5$"0=Z<(z$4:"!#87$$"+X!>A$)*!#6$"0%[p.W1<5!#87$$".D@qP=6"!#8$"0"\"*e%=T**)!#97$$"-v*\`/C"!#7$"-F2ych!)!#67$$".vtHp!p8!#8$"0`gk;KUI(!#97$$"+&4&o(\"!#5$"0-dd.rpn'!#97$$",&)y@mv"!#6$"0Z1]0XFp&!#97$$"+#[eb,#!#5$"0"pDUSSh\!#97$$"+20(4`#!#5$"0Q"QZN0^R!#97$$"+KM#)3I!#5$"0Ep)p#eNK$!#97$$"+dCh.N!#5$"0d5K&p>aG!#97$$"+vRK:S!#5$"0:!)o1f/\#!#97$$"+FWRDX!#5$"0Y6d8_(4A!#97$$"+$ek+0&!#5$"0%>%fps,)>!#97$$"+UV>7b!#5$"0&4t[&fT"=!#97$$"+&*HWKg!#5$"0e71>.xl"!#97$$"+Ry#[b'!#5$"/cD"3$fD:!#87$$"+KCCeq!#5$"0M!H*H$y;9!#97$$"*6"R:v!"*$"/DeRFgI8!#87$$"+0^)*e!)!#5$"0DMR.^3C"!#97$$"+A0[>&)!#5$"0vdu[!yt6!#97$$"+mh9b!*!#5$"0;hWSWV5"!#97$$"+D5IH&*!#5$"0u#*3"\R\5!#97$$"+0C&\+"!"*$"08'\/+s]**!#:7$$"*%**[a5!")$"0i8)[yD$[*!#:7$$"+hr<16!"*$"0JKUDV,/*!#:7$$"+k@k`6!"*$"0M#*z7*>o')!#:7$$"+$eR[?"!"*$"0hq]6g)*H)!#:7$$"+7$>!e7!"*$"0vP#oN+\z!#:7$$"+BCJ/8!"*$"0p#zjZ(om(!#:7$$"*D5VN"!")$"/'y6ZKQQ(!#97$$"+)*G'fS"!"*$"0>M@AjD6(!#:7$$"+Q\\c9!"*$"0^-y(zzlo!#:7$$"+%G(Q0:!"*$"0uY!o)3Gk'!#:7$$"+)*Qnf:!"*$"0B%y)o'f6k!#:7$$"+OGX3;!"*$"0:#>KY:<i!#:7$$"+kZ`g;!"*$"0)y+mj:Ag!#:7$$"+J(Gxq"!"*$"0C"=f4tbe!#:7$$"+.UKf<!"*$"0@;#*p+So&!#:7$$"+@:(y!=!"*$"0&=%z^m8`&!#:7$$"+duhe=!"*$"0(om4LM!Q&!#:7$$"+%)3B3>!"*$"0[Gw+c/C&!#:7$$"+X:<g>!"*$"0*fp4Vf,^!#:7$$"+vl>5?!"*$"0*4&f'yju\!#:7$$"+$Ra81#!"*$"0h/eTz6&[!#:7$$"+)f)37@!"*$"0F$=n)\Yt%!#:7$$"+k!3(e@!"*$"0fmSN+Cj%!#:7$$"+L#R@@#!"*$"0B-#>6^?X!#:7$$"+2(G*fA!"*$"0`cwM=\U%!#:7$$"+bA)3J#!"*$"0d$z*e^tK%!#:7$$"+,8lfB!"*$"06$f.V"zB%!#:7$$"+fI!QT#!"*$"02]f0SG9%!#:7$$"+.XpgC!"*$"/u(*QL*Q1%!#97$$"+6n"R^#!"*$"0[>"Gl&y(R!#:7$$"+wHUiD!"*$"0Y**zKcD!R!#:7$$"+17[:E!"*$"0&f^2#)QBQ!#:7$$"+'[h7m#!"*$"0=oMZ;wv$!#:7$$"+"))*R8F!"*$"0VTkH8ao$!#:7$$"+(*HwjF!"*$"0vL&f_D=O!#:7$$"+6K49G!"*$"0_`CcUNb$!#:7$$"*FQU'G!")$"0mY6lH8\$!#:7$$"+t>T7H!"*$"0J04<!eLM!#:7$$"+A!*[kH!"*$"/y?=EEtL!#97$$"+EA79I!"*$"0)*y1\:xJ$!#:7$$"+N)ej1$!"*$"085Q#p>hK!#:7$$"+Ybk8J!"*$"0(fkg$p;@$!#:7$$"+8i!f;$!"*$"0iWhE`'eJ!#:7$$"+EG'f@$!"*$"0dX"z')[4J!#:7$$"+*f(*eE$!"*$"0=b,OX>1$!#:7$$"+jY0=L!"*$"0`B<79Q,$!#:7$$"+CK4mL!"*$"0&\6XI!3(H!#:7$$"*G"H:M!")$".=V%z+GH!#87$$"+"y6'pM!"*$"0/3M$o;#)G!#:7$$"+XXz=N!"*$"0,P&=B)=%G!#:7$$"+LJ4pN!"*$"/M$==K=!G!#97$$"+-bC?O!"*$"/&[(3OCiF!#97$$"+$[ksm$!"*$"0D")H9Gos#!#:7$$"+%>&Q<P!"*$"0ZS7!H1!p#!#:7$$"+$QCrw$!"*$"0/5FoWXl#!#:7$$"+a)H.#Q!"*$"0*Hd@]d<E!#:7$$"+y8GnQ!"*$"0A7V"ez&e#!#:7$$"+*o`9#R!"*$"0N=4uu+b#!#:7$$"+C+MqR!"*$"0i%=nfn=D!#:7$$"+(\5(=S!"*$"0#)>^Qg$)[#!#:7$$"+%HC22%!"*$"0:v&)GllX#!#:7$$"+)\[H7%!"*$"/i*=o[aU#!#97$$"+"zk/<%!"*$"0H$ysU"yR#!#:7$$"+%)\#4A%!"*$"0t^9&*["pB!#:7$$")#p,F%!"($"0*Q5zv#=M#!#:7$$"*X]NK%!")$"0Qga"R"HJ#!#:7$$"+s+upV!"*$"/kfPcY)G#!#97$$"+L0zAW!"*$"0mxQ'f,hA!#:7$$"+b2msW!"*$"/$)G3c!eB#!#97$$"+&G\?_%!"*$"0)HPynQ6A!#:7$$"+/rZrX!"*$"/GlwnZ(=#!#97$$"+^.*=i%!"*$"0VDT)ohj@!#:7$$"+[vKvY!"*$"02&ouv))Q@!#:7$$"+DUKCZ!"*$"0l$**\[q;@!#:7$$"+P-psZ!"*$"0_KTNa_4#!#:7$$"+2FRC[!"*$"0wF1v*zs?!#:7$$"+DE)f([!"*$"0:z(p'o30#!#:7$$"+TwGA\!"*$"0a`"3ddJ?!#:7$$"+r#Rr(\!"*$"0XpEH'=4?!#:7$$"+sl.B]!"*$"0"p=Jw#3*>!#:7$$"+='=n2&!"*$"0$e%pHw(p>!#:7$$"+NH&z7&!"*$"0X#=,f4]>!#:7$$"+v!*pt^!"*$"0coG/`G$>!#:7$$"+#RX^A&!"*$"0PWOMAQ">!#:7$$"+MF$pF&!"*$"0DWPES]*=!#:7$$"+NRZG`!"*$"0o;-%*4n(=!#:7$$"+E#fiP&!"*$"0WO'e$H+'=!#:7$$"+J"QdU&!"*$"03eF?nI%=!#:7$$"+"G4pZ&!"*$"0#)*y&HZe#=!#:7$$"+Ej"z_&!"*$"0`d`))***3=!#:7$$"+ULQ!e&!"*$"02.oe"*>z"!#:7$$"+;jfEc!"*$"0rEiStsx"!#:7$$"+'=@'yc!"*$"/D&*e3*4w"!#97$$"+o'f3t&!"*$"0&Q31*Q\u"!#:7$$"+D6?"y&!"*$"0*>3`VuH<!#:7$$"+&*f"p#e!"*$"07kHqthr"!#:7$$"+(Rv7)e!"*$"0PAtY6.q"!#:7$$"+N\KFf!"*$"0RPVq,ro"!#:7$$"+-:*3)f!"*$"03q6a"*>n"!#:7$$"+&)pIGg!"*$"0lIw`S)e;!#:7$$"+"HH.3'!"*$"0.p%oxkW;!#:7$$"+Co')Hh!"*$"0T-?"oNJ;!#:7$$"+XSb"='!"*$"0GC1=;xh"!#:7$$"*0>!Hi!")$"0^MX@*Q0;!#:7$$"+nk@!G'!"*$"/8U-=I#f"!#97$$"+'>'RLj!"*$"0kVkpJ*y:!#:7$$"+1$*ozj!"*$"0&)z@Xuuc"!#:7$$"+NroHk!"*$"02&**GcGb:!#:7$$"+%yR8['!"*$"0syL(3*Ga"!#:7$$"+C=(=`'!"*$"0s$4?Z&4`"!#:7$$"+rTw!e'!"*$"0#p"=O!e>:!#:7$$"+%y]]j'!"*$"/Ujpu92:!#97$$"+=(HQo'!"*$"0zp'H#[h\"!#:7$$"+[;"ft'!"*$"0T,C/!e%["!#:7$$"+=c5$y'!"*$"/Gbk4Du9!#97$$"+&3,Z$o!"*$"0mvux@JY"!#:7$$"+2%[K)o!"*$"02f#GC!GX"!#:7$$"+UV*R$p!"*$"0M!**)>q@W"!#:7$$"+pxg$)p!"*$"0"p>MY#>V"!#:7$$"+K%[b.(!"*$"0m"o-LN@9!#:7$$"+dMd&3(!"*$"0vhDP=8T"!#:7$$"+w7tOr!"*$"0-30q,7S"!#:7$$"+#[lu=(!"*$"0O.'H5J"R"!#:7$$"*&\3Ms!")$"0G>'R[M#Q"!#:7$$"+:h^(G(!"*$"0rr&e'4AP"!#:7$$"+$f0`L(!"*$"0AV(>(pKO"!#:7$$"*9fiQ(!")$"0V\sIlQN"!#:7$$"+'=G]V(!"*$"/Ov8[)\M"!#97$$"+X*z"*[(!"*$"0o`xnf_L"!#:7$$"+(Qrg`(!"*$"0ySmL^pK"!#:7$$"+)f$H*e(!"*$"0Rf+pXwJ"!#:7$$"+f)*zPw!"*$"/M#[cx#48!#97$$"*4e3p(!")$"0Hl*G]C+8!#:7$$"+s$Qmt(!"*$"0G#QV5b#H"!#:7$$"+knx)y(!"*$"0-PNl)*QG"!#:7$$"+z)R"Ry!"*$"0["ya,lv7!#:7$$"+&4q%*)y!"*$"0Q(3^A^n7!#:7$$"+c^hRz!"*$"0U!*3*o]f7!#:7$$"+f))y()z!"*$"0[wv!4">D"!#:7$$"+/f')R!)!"*$"0R4%R=!QC"!#:7$$"*6*\*3)!")$"0)eF![qhB"!#:7$$"+=dtT")!"*$"0cOrKR#G7!#:7$$"+KC-*=)!"*$"0'f`yp9@7!#:7$$"+&4$GT#)!"*$"08;uG.M@"!#:7$$"+3(R8H)!"*$"0U_!4x217!#:7$$"+#[u7M)!"*$"/KEjv&))>"!#97$$"+[:V$R)!"*$"/Z.AyS">"!#97$$"*6q9W)!")$"/HV!yFY="!#97$$"+m"o1\)!"*$"0&)=6hjx<"!#:7$$"+j'))\a)!"*$"04#GnlFq6!#:7$$"+F9<%f)!"*$"0-HJIzN;"!#:7$$"*-qWk)!")$"03$y;*3o:"!#:7$$"+(QAcp)!"*$"0uK$RR+]6!#:7$$"+n8kU()!"*$"0V3%z!>Q9"!#:7$$"*3iFz)!")$"0)o\a!*HP6!#:7$$"+m7]U))!"*$"0,ZBt,48"!#:7$$"+Qnq&*))!"*$"/OIxx8C6!#97$$"+h#eE%*)!"*$"0Xr7tN#=6!#:7$$"+t0$o**)!"*$"0xQi`-:6"!#:7$$"+4prX!*!"*$"0>vKd&\06!#:7$$"+#Q(3%4*!"*$"0V#=hbh*4"!#:7$$"+"=,h9*!"*$"0"Q"p0iL4"!#:7$$"+#QD$)>*!"*$"0^-'4W:(3"!#:7$$"+y;%eC*!"*$"0ZZyHn:3"!#:7$$"+p=I'H*!"*$"0dCjc'pv5!#:7$$"+&3YbM*!"*$"0p$[H%G+2"!#:7$$"+Ot#*)R*!"*$"0&35)>^R1"!#:7$$"+bp6X%*!"*$"0-L"R"[(e5!#:7$$"+<u;)\*!"*$"0G8WnMG0"!#:7$$"+Qw.[&*!"*$"0#QWGcLZ5!#:7$$"+rhU(f*!"*$"0e$))>g%>/"!#:7$$"**R&ok*!")$"/E(eP2m."!#97$$"+OsE(p*!"*$"0P#Re$=7."!#:7$$"+KWq](*!"*$"0$*3!HpcD5!#:7$$"*6,(*z*!")$"0DAcGR/-"!#:7$$"*7n![)*!")$"0Tl_oFa,"!#:7$$"+$fp(**)*!"*$"0pn">X755!#:7$$"+2&f8&**!"*$"/l"R#y)[+"!#97$$"$+"!""$"""!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&k~=~16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$"(7%Hv!"($")Wygz!")-%'CURVESG6%7cz7$$"/DJq:+V;!#;$"09^ng_Wq$!"*7$$".D19.gG$!#:$"0'y(o^J6E*!#57$$"/v$4r/!H\!#;$"0sX>Xeg6%!#57$$"-D"G1?d'!#9$"0Z>#zGG:B!#57$$"/Dc^y+:#)!#;$"0Y+F/"y"["!#57$$".v=U4!e)*!#:$"0V')Hh9!H5!#57$$"0v=#*4,,:"!#;$"0i;2O2,c(!#67$$"-Dc7S98!#8$"0m[!)>2#)y&!#67$$"0D"G89qy9!#;$"0oR*z#)RtX!#67$$"/DJq:+V;!#:$"09^ng_Wq$!#67$$"0vVts,t!=!#;$"0if*z5`hI!#67$$".vV)=gr>!#9$"02mC`ODd#!#67$$"0D19/-f8#!#;$"0,x4z$)>>#!#67$$"/vV)>--I#!#:$"0;z,%o-!*=!#67$$"0voaN-XY#!#;$"0Hy2QBkk"!#67$$",D^-)GE!#7$"0<7&*z^qW"!#67$$"0DJ&pE5$z#!#;$"0b')4^<=G"!#67$$"/DcEGSdH!#:$"0#\)*p&\L9"!#67$$"0v$f$)Hq@J!#;$"0y%*p:kh-"!#67$$".D19.gG$!#9$"0'y(o^J6E*!#77$$"0DcwH..X$!#;$"08&o*G>,S)!#77$$"/voaMg9O!#:$"01**)*pFQl(!#77$$"0v=<h.*yP!#;$"0))*[[fu-q!#77$$"-voP?VR!#8$"0=l6LT8V'!#77$$"0D"yDR]2T!#;$"0$=!3<Cr#f!#77$$"/D"G3/=F%!#:$"0_UuZf*za!#77$$"0vV)RU5OW!#;$"0VxVk`:3&!#77$$".voR//g%!#9$"0*yW+r1DZ!#77$$"0D1Rb/Zw%!#;$"0m&=&z=[S%!#77$$"/v$4r/!H\!#:$"0sX>Xeg6%!#77$$"0voz'[I$4&!#;$"0K"3$R*yaQ!#77$$"+D]gd_!#6$"0T!y)\Hwh$!#77$$".DJrh0S&!#9$"07IH%>kGM!#77$$"-D,%=Na&!#8$"/H&)**e3aK!#67$$".v$*3vko&!#9$"0;QCbGD4$!#77$$",vxJ%He!#7$"00oze5F%H!#77$$"-v`^M:h!#8$"0Y=#p$zRn#!#77$$"*`e7S'!#5$"0")e4NY/W#!#77$$"-D1><(o'!#8$"0X)\gDAOA!#77$$",DG&3tp!#7$"0dg"=5gc?!#77$$"-ve')**es!#8$"0R*foIy(*=!#77$$"+N?"\a(!#6$"0,33)enc<!#77$$",vyQn6)!#7$"0P]%zz(y^"!#77$$"*al&)o)!#5$"/&4[@eYK"!#67$$",DH#Rg#*!#7$"0#RF$f9h;"!#77$$"+X!>A$)*!#6$"0:j7+?W."!#77$$".D@qP=6"!#8$"0R*H&o;%*3)!#87$$"-v*\`/C"!#7$"/77^v)))\'!#77$$".vtHp!p8!#8$"0obTv!=N`!#87$$"+&4&o(\"!#5$"0#QB@U>eW!#87$$",&)y@mv"!#6$"01IhiM2C$!#87$$"+#[eb,#!#5$"0K_q+`:Y#!#87$$"+20(4`#!#5$"/vU8C3h:!#77$$"+KM#)3I!#5$"0j@t&Rg/6!#87$$"+dCh.N!#5$"/lrZ-WY")!#87$$"+vRK:S!#5$"0b0QO'Q-i!#97$$"+FWRDX!#5$"0P"G,X+$)[!#97$$"+$ek+0&!#5$"0'Rv0R3@R!#97$$"+UV>7b!#5$"0n^#o[<"H$!#97$$"+&*HWKg!#5$"07n"o)zzu#!#97$$"+Ry#[b'!#5$"0'\d\UVFB!#97$$"+KCCeq!#5$"0,[r"\F2?!#97$$"*6"R:v!"*$"0Z%e]O]q<!#97$$"+0^)*e!)!#5$"0r:%)G6(R:!#97$$"+A0[>&)!#5$"0cOFjgxP"!#97$$"+mh9b!*!#5$"0nkOcw&>7!#97$$"+D5IH&*!#5$"0f2!z'H75"!#97$$"+0C&\+"!"*$"0&zygGo,**!#:7$$"*%**[a5!")$"0^3F%z@$**)!#:7$$"+hr<16!"*$"/Uq0!>C<)!#97$$"+k@k`6!"*$"0s_AhnP^(!#:7$$"+$eR[?"!"*$"0)R(Hzn())o!#:7$$"+7$>!e7!"*$"0l&ysdm=j!#:7$$"+BCJ/8!"*$"08oV'o4ye!#:7$$"*D5VN"!")$"09Vi>)4_a!#:7$$"+)*G'fS"!"*$"0f&))eb&)e]!#:7$$"+Q\\c9!"*$"0r*>(==Rr%!#:7$$"+%G(Q0:!"*$"0/Sd'4p7W!#:7$$"+)*Qnf:!"*$"/H'*4s&36%!#97$$"+OGX3;!"*$"0$)e?<,`'Q!#:7$$"+kZ`g;!"*$"0$\mHnjEO!#:7$$"+J(Gxq"!"*$"0PJm]e*GM!#:7$$"+.UKf<!"*$"0/p[R'yIK!#:7$$"+@:(y!=!"*$"0"3eb:gfI!#:7$$"+duhe=!"*$"/x)HT4[*G!#97$$"+%)3B3>!"*$"0%*)y;zBYF!#:7$$"+X:<g>!"*$"0Ds+XEEg#!#:7$$"+vl>5?!"*$"0NN(*=-ZZ#!#:7$$"+$Ra81#!"*$"0jKC<%R`B!#:7$$"+)f)37@!"*$"0'=[O4pTA!#:7$$"+k!3(e@!"*$"0jNSI8f9#!#:7$$"+L#R@@#!"*$"/J)y2-N/#!#97$$"+2(G*fA!"*$"0uU$Q-*z&>!#:7$$"+bA)3J#!"*$"0*)o"yrfs=!#:7$$"+,8lfB!"*$"0"*fWw"*fz"!#:7$$"+fI!QT#!"*$"0V=HP7jr"!#:7$$"+.XpgC!"*$"0\eq!H_^;!#:7$$"+6n"R^#!"*$"0GIeDMBe"!#:7$$"+wHUiD!"*$"0'3K*e%*H_"!#:7$$"+17[:E!"*$"/s`Q(H=Y"!#97$$"+'[h7m#!"*$"0%z;c"o>T"!#:7$$"+"))*R8F!"*$"0tel6F#e8!#:7$$"+(*HwjF!"*$"0O9B6x"48!#:7$$"+6K49G!"*$"0(oJukwi7!#:7$$"*FQU'G!")$"0e(Ht#Q*=7!#:7$$"+t>T7H!"*$"0T.!zs%*y6!#:7$$"+A!*[kH!"*$"0")R"p+*y8"!#:7$$"+EA79I!"*$"074xgB25"!#:7$$"+N)ej1$!"*$"0'oeP0aj5!#:7$$"+Ybk8J!"*$"0@6#3?[J5!#:7$$"+8i!f;$!"*$"04EdX!4x**!#;7$$"+EG'f@$!"*$"0ZMd%)>*o'*!#;7$$"+*f(*eE$!"*$"0&ed)Q4bP*!#;7$$"+jY0=L!"*$"0;+.cvI3*!#;7$$"+CK4mL!"*$"0EkGtqc#))!#;7$$"*G"H:M!")$"0M*)>_IKd)!#;7$$"+"y6'pM!"*$"0L(fbc)oI)!#;7$$"+XXz=N!"*$"0K8C6&Hw!)!#;7$$"+LJ4pN!"*$"0Kd^dj-&y!#;7$$"+-bC?O!"*$"0$>2a(*)*Hw!#;7$$"+$[ksm$!"*$"/YN@<fNu!#:7$$"+%>&Q<P!"*$"0GIETQkB(!#;7$$"+$QCrw$!"*$"0;/DZ2m/(!#;7$$"+a)H.#Q!"*$"0'Gc$**)p^o!#;7$$"+y8GnQ!"*$"0h9L**Rjo'!#;7$$"+*o`9#R!"*$"0")pU=")G]'!#;7$$"+C+MqR!"*$"0PtwiGPM'!#;7$$"+(\5(=S!"*$"0oLiSP>>'!#;7$$"+%HC22%!"*$"0LKq,8Z.'!#;7$$"+)\[H7%!"*$"0*>^38!G)e!#;7$$"+"zk/<%!"*$"0GjnG8&\d!#;7$$"+%)\#4A%!"*$"0#[;an'Gh&!#;7$$")#p,F%!"($"0f^-TcT[&!#;7$$"*X]NK%!")$"0GI.yq&\`!#;7$$"+s+upV!"*$"0[fW(\2P_!#;7$$"+L0zAW!"*$"0k4*)=$>7^!#;7$$"+b2msW!"*$"0V`!=n#))*\!#;7$$"+&G\?_%!"*$"0%Gc$[J-*[!#;7$$"+/rZrX!"*$"0L&R[Y0&y%!#;7$$"+^.*=i%!"*$"0is7-Q7o%!#;7$$"+[vKvY!"*$"0<Ur0S[d%!#;7$$"+DUKCZ!"*$"0l')>UR/[%!#;7$$"+P-psZ!"*$"0F6&334!R%!#;7$$"+2FRC[!"*$"0_-i!))\'H%!#;7$$"+DE)f([!"*$"/<o+B11U!#:7$$"+TwGA\!"*$"0cfz&)*HFT!#;7$$"+r#Rr(\!"*$"0z]'e&Ho.%!#;7$$"+sl.B]!"*$"/t4dYRjR!#:7$$"+='=n2&!"*$"0j4+m=+)Q!#;7$$"+NH&z7&!"*$"0e3Q-uG!Q!#;7$$"+v!*pt^!"*$"0DE`)3#ft$!#;7$$"+#RX^A&!"*$"0TKI'friO!#;7$$"+MF$pF&!"*$"0'=@,w<"f$!#;7$$"+NRZG`!"*$"/"3(*>S?_$!#:7$$"+E#fiP&!"*$"0Z*)\@4(fM!#;7$$"+J"QdU&!"*$"0[#)Qr'*oR$!#;7$$"+"G4pZ&!"*$"0*HaZ$=PL$!#;7$$"+Ej"z_&!"*$"0bB_e![sK!#;7$$"+ULQ!e&!"*$"0)H<ZQB6K!#;7$$"+;jfEc!"*$"0r![g2qeJ!#;7$$"+'=@'yc!"*$"0E9`!))3,J!#;7$$"+o'f3t&!"*$"07lfy6[/$!#;7$$"+D6?"y&!"*$"0.>q_:?*H!#;7$$"+&*f"p#e!"*$"0dX(y@DXH!#;7$$"+(Rv7)e!"*$"0%z!f3f5*G!#;7$$"+N\KFf!"*$"07y2;7j%G!#;7$$"+-:*3)f!"*$"0HWPrbbz#!#;7$$"+&)pIGg!"*$"0u'GH>v^F!#;7$$"+"HH.3'!"*$"09IBGm[q#!#;7$$"+Co')Hh!"*$"0om![]KhE!#;7$$"+XSb"='!"*$"0i`5k0qh#!#;7$$"*0>!Hi!")$"0tV,`usd#!#;7$$"+nk@!G'!"*$"06%**H]UND!#;7$$"+'>'RLj!"*$"/W.-`-$\#!#:7$$"+1$*ozj!"*$"0_O#eh(pX#!#;7$$"+NroHk!"*$"/'exQ8*=C!#:7$$"+%yR8['!"*$"0NbrC70Q#!#;7$$"+C=(=`'!"*$"0Dx\NAQM#!#;7$$"+rTw!e'!"*$"0k>gZC"4B!#;7$$"+%y]]j'!"*$"0wC_\$\rA!#;7$$"+=(HQo'!"*$"0.W^_f%QA!#;7$$"+[;"ft'!"*$"0e'H-z(R?#!#;7$$"+=c5$y'!"*$"0&[[1fTt@!#;7$$"+&3,Z$o!"*$"0`BdLD29#!#;7$$"+2%[K)o!"*$"0Ybb*[j5@!#;7$$"+UV*R$p!"*$"0#e&G)[&)z?!#;7$$"+pxg$)p!"*$"0%*>!e"3/0#!#;7$$"+K%[b.(!"*$"02W5@X--#!#;7$$"+dMd&3(!"*$"0OI([&>=*>!#;7$$"+w7tOr!"*$"0e1b?mL'>!#;7$$"+#[lu=(!"*$"0&f4"QYd$>!#;7$$"*&\3Ms!")$"00AcDx3">!#;7$$"+:h^(G(!"*$"0\xqMfH)=!#;7$$"+$f0`L(!"*$"0wo(GV]e=!#;7$$"*9fiQ(!")$"0ft,F^H$=!#;7$$"+'=G]V(!"*$"0"yA\T)*3=!#;7$$"+X*z"*[(!"*$"0&[.2%=Hy"!#;7$$"+(Qrg`(!"*$"0w7)\)*zg<!#;7$$"+)f$H*e(!"*$"03KX;!>O<!#;7$$"+f)*zPw!"*$"0))\<u2Ur"!#;7$$"*4e3p(!")$"0&*[`8P1p"!#;7$$"+s$Qmt(!"*$"0j[(*>)oq;!#;7$$"+knx)y(!"*$"0;aDv&R[;!#;7$$"+z)R"Ry!"*$"0,%R<LGF;!#;7$$"+&4q%*)y!"*$"0fcmI(e1;!#;7$$"+c^hRz!"*$"0X+#3wN'e"!#;7$$"+f))y()z!"*$"0(*30#4Gn:!#;7$$"+/f')R!)!"*$"0<=d,Vqa"!#;7$$"*6*\*3)!")$"/bIcu6G:!#:7$$"+=dtT")!"*$"0'[sW=d3:!#;7$$"+KC-*=)!"*$"/v=V**>"\"!#:7$$"+&4$GT#)!"*$"0G7z`ZBZ"!#;7$$"+3(R8H)!"*$"08t-WBYX"!#;7$$"+#[u7M)!"*$"0P$*pXfsV"!#;7$$"+[:V$R)!"*$"0Y0%)f_%>9!#;7$$"*6q9W)!")$"0Rt"yHM.9!#;7$$"+m"o1\)!"*$"0rvO7FrQ"!#;7$$"+j'))\a)!"*$"0bHRCZ&p8!#;7$$"+F9<%f)!"*$"0AqYz;RN"!#;7$$"*-qWk)!")$"0%)[*po?Q8!#;7$$"+(QAcp)!"*$"0$3[g!4DK"!#;7$$"+n8kU()!"*$"0v=k3A$38!#;7$$"*3iFz)!")$"0\f$R"\MH"!#;7$$"+m7]U))!"*$"0YD#G(Q*y7!#;7$$"+Qnq&*))!"*$"03hBu&oj7!#;7$$"+h#eE%*)!"*$"0>#p]6X]7!#;7$$"+t0$o**)!"*$"0Al!))yVN7!#;7$$"+4prX!*!"*$"0.JDY?@A"!#;7$$"+#Q(3%4*!"*$"0b%R#Qa"47!#;7$$"+"=,h9*!"*$"/))\(eSa>"!#:7$$"+#QD$)>*!"*$"0==.r/>="!#;7$$"+y;%eC*!"*$"03t(>yyp6!#;7$$"+p=I'H*!"*$"0Z-G5Br:"!#;7$$"+&3YbM*!"*$"0L.*R3'\9"!#;7$$"+Ot#*)R*!"*$"0BS>:#*>8"!#;7$$"+bp6X%*!"*$"0k<@iZ47"!#;7$$"+<u;)\*!"*$"0"pk^3Y36!#;7$$"+Qw.[&*!"*$"0#yg=>"p4"!#;7$$"+rhU(f*!"*$"0C^$3:l&3"!#;7$$"**R&ok*!")$"0Z8<&[bu5!#;7$$"+OsE(p*!"*$"0X&o-8Tj5!#;7$$"+KWq](*!"*$"0"o(e_(y^5!#;7$$"*6,(*z*!")$"0DTcL'HT5!#;7$$"*7n![)*!")$"0Z.SQ$4J5!#;7$$"+$fp(**)*!"*$"0vBUa^.-"!#;7$$"+2&f8&**!"*$"0kb'Q&*z45!#;7$$"$+"!""$"""!"#-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&k~=~26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$"#5!""-%'CURVESG6%7cz7$$"/DJq:+V;!#;$"0")Q1)foaA!"'7$$".D19.gG$!#:$"0^)zvuN=G!"(7$$"/v$4r/!H\!#;$"0y!=<))o]$)!")7$$"-D"G1?d'!#9$"09[Z%o%H_$!")7$$"/Dc^y+:#)!#;$"006Xy[P!=!")7$$".v=U4!e)*!#:$"/w9-h$Q/"!"(7$$"0v=#*4,,:"!#;$"0&>)\^GMd'!"*7$$"-Dc7S98!#8$"0=Nfb$o.W!"*7$$"0D"G89qy9!#;$"0'p15x%G4$!"*7$$"/DJq:+V;!#:$"0")Q1)foaA!"*7$$"0vVts,t!=!#;$"0BR'[*yRp"!"*7$$".vV)=gr>!#9$"/XoF^z/8!")7$$"0D19/-f8#!#;$"0%z)[qci-"!"*7$$"/vV)>--I#!#:$"0WFPk&y;#)!#57$$"0voaN-XY#!#;$"0iWP0^0o'!#57$$",D^-)GE!#7$"0(*=\W/Y]&!#57$$"0DJ&pE5$z#!#;$"0[.qYC#*e%!#57$$"/DcEGSdH!#:$"0p$eP'fg'Q!#57$$"0v$f$)Hq@J!#;$"0@3-W$>(G$!#57$$".D19.gG$!#9$"0^)zvuN=G!#57$$"0DcwH..X$!#;$"0-(p`JgMC!#57$$"/voaMg9O!#:$"0.*z&otu6#!#57$$"0v=<h.*yP!#;$"0dL"*y:J&=!#57$$"-voP?VR!#8$"0i0'4R*4j"!#57$$"0D"yDR]2T!#;$"0%)3w-**HW"!#57$$"/D"G3/=F%!#:$"0$*46)3#GG"!#57$$"0vV)RU5OW!#;$"0lw=:*\X6!#57$$".voR//g%!#9$"0$fY0#)4F5!#57$$"0D1Rb/Zw%!#;$"04.&**RoW#*!#67$$"/v$4r/!H\!#:$"0y!=<))o]$)!#67$$"0voz'[I$4&!#;$"0x=)zgMov!#67$$"+D]gd_!#6$"0r[hbb2)o!#67$$".DJrh0S&!#9$"0W$*f`w'[j!#67$$"-D,%=Na&!#8$"0E`cBt+(e!#67$$".v$*3vko&!#9$"0Ad*fGRQa!#67$$",vxJ%He!#7$"0:"eKI-[]!#67$$"-v`^M:h!#8$"0WBg4tDP%!#67$$"*`e7S'!#5$"0=*RBxW7Q!#67$$"-D1><(o'!#8$"0dATE[SM$!#67$$",DG&3tp!#7$"0KiPbT$\H!#67$$"-ve')**es!#8$"0Cmm&oQ9E!#67$$"+N?"\a(!#6$"0wEJ1#HGB!#67$$",vyQn6)!#7$"0>6H#*e+(=!#67$$"*al&)o)!#5$"036!R%*fC:!#67$$",DH#Rg#*!#7$"0e)Qp'\#f7!#67$$"+X!>A$)*!#6$"0sa<wr?0"!#67$$"-v*\`/C"!#7$"0k=lEA"R_!#77$$"+&4&o(\"!#5$"0v&poLswH!#77$$",&)y@mv"!#6$"0-\<gn[%=!#77$$"+#[eb,#!#5$"/>%R!fF@7!#67$$",X\kKF#!#6$"0$QIy@O7&)!#87$$"+20(4`#!#5$"0TFt??z;'!#87$$",&pp*)pF!#6$"08*)yeObq%!#87$$"+KM#)3I!#5$"0i'G<c@rO!#87$$"+dCh.N!#5$"0WaM\a^K#!#87$$"+vRK:S!#5$"0M.c$*yYa"!#87$$"+FWRDX!#5$"0_RD'H-z5!#87$$"+$ek+0&!#5$"0Nr')GBWw(!#97$$"+UV>7b!#5$"04#y8jrqf!#97$$"+&*HWKg!#5$"0x*>&*\LbX!#97$$"+Ry#[b'!#5$"0))G#)e<2b$!#97$$"+KCCeq!#5$"0p*pzN(Q%G!#97$$"*6"R:v!"*$"0_3z+PeN#!#97$$"+0^)*e!)!#5$"0(3>WBb5>!#97$$"+A0[>&)!#5$"0j$4Z&)=<;!#97$$"+mh9b!*!#5$"0/&*QbKoM"!#97$$"+D5IH&*!#5$"0hu3#[ib6!#97$$"+0C&\+"!"*$"0#>5st)G&)*!#:7$$"*%**[a5!")$"0>GTY+&G&)!#:7$$"+hr<16!"*$"0n<X&Q)zQ(!#:7$$"+k@k`6!"*$"0iYkQ$38l!#:7$$"+$eR[?"!"*$"0x)o/4e<d!#:7$$"+7$>!e7!"*$"0\Pun4F-&!#:7$$"+BCJ/8!"*$"0Hb3Djm]%!#:7$$"*D5VN"!")$"0VZ(pztDS!#:7$$"+)*G'fS"!"*$"0(=U**H9)f$!#:7$$"+Q\\c9!"*$"0B?d*4[OK!#:7$$"+%G(Q0:!"*$"0x;zEm7$H!#:7$$"+)*Qnf:!"*$"0HYv%erNE!#:7$$"+OGX3;!"*$"0Lo'3v6.C!#:7$$"+kZ`g;!"*$"0(\(oM<S=#!#:7$$"+J(Gxq"!"*$"0#H][e!z+#!#:7$$"+.UKf<!"*$"0QXF@zj$=!#:7$$"+@:(y!=!"*$"0Dy-wxBp"!#:7$$"+duhe=!"*$"0"HzXo]d:!#:7$$"+%)3B3>!"*$"0PT*)*Q:R9!#:7$$"+X:<g>!"*$"0H&zGWvF8!#:7$$"+vl>5?!"*$"0$4+AZ2J7!#:7$$"+$Ra81#!"*$"0(zlOPnT6!#:7$$"+)f)37@!"*$"0)zYp@Oh5!#:7$$"+k!3(e@!"*$"0%3T\&H2%**!#;7$$"+L#R@@#!"*$"0W$=lQnP#*!#;7$$"+2(G*fA!"*$"0=v,$p%Rm)!#;7$$"+bA)3J#!"*$"07#*fP'Q.")!#;7$$"+,8lfB!"*$"04Sx=f7h(!#;7$$"+fI!QT#!"*$"/#\qk2/6(!#:7$$"+.XpgC!"*$"0dj6%Hh6n!#;7$$"+6n"R^#!"*$"0a@#\')H%H'!#;7$$"+wHUiD!"*$"01j?<sN%f!#;7$$"+17[:E!"*$"0F>PeU"*e&!#;7$$"+'[h7m#!"*$"0:HO![j0`!#;7$$"+"))*R8F!"*$"0&G&\FGc+&!#;7$$"+(*HwjF!"*$"0k#Hsp$pt%!#;7$$"+6K49G!"*$"0RCHT%H([%!#;7$$"*FQU'G!")$"0O"[O`rbU!#;7$$"+t>T7H!"*$"0))G(***4![S!#;7$$"+A!*[kH!"*$"0AfQ.-%QQ!#;7$$"+EA79I!"*$"0h_Uw()=l$!#;7$$"+N)ej1$!"*$"0kD&H^ToM!#;7$$"+Ybk8J!"*$"0_H=;zFJ$!#;7$$"+8i!f;$!"*$"0&*fa$pT^J!#;7$$"+EG'f@$!"*$"0t()*z'Rl+$!#;7$$"+*f(*eE$!"*$"07WruH2(G!#;7$$"+jY0=L!"*$"0XJ#R,ZPF!#;7$$"+CK4mL!"*$"/v$)[H$>i#!#:7$$"*G"H:M!")$"0W&o2([-^#!#;7$$"+"y6'pM!"*$"0cZD.$=%R#!#;7$$"+XXz=N!"*$"0VDz-)=&H#!#;7$$"+LJ4pN!"*$"0.v?67&*>#!#;7$$"+-bC?O!"*$"0<+L/*e2@!#;7$$"+$[ksm$!"*$"0"3bw!ev-#!#;7$$"+%>&Q<P!"*$"0#G4^ukY>!#;7$$"+$QCrw$!"*$"03G(RMbq=!#;7$$"+a)H.#Q!"*$"0p)39O[$z"!#;7$$"+y8GnQ!"*$"08yn*4&*G<!#;7$$"+*o`9#R!"*$"0(*>^I$Ge;!#;7$$"+C+MqR!"*$"/io$ozxf"!#:7$$"+(\5(=S!"*$"0N")[<x2a"!#;7$$"+%HC22%!"*$"0V:ClmC["!#;7$$"+)\[H7%!"*$"0wezEVoU"!#;7$$"+"zk/<%!"*$"0#e0-liy8!#;7$$"+%)\#4A%!"*$"0yE&Q<xH8!#;7$$")#p,F%!"($"0mkH([H%G"!#;7$$"*X]NK%!")$"0ic*p'4tB"!#;7$$"+s+upV!"*$"0lc?h'[)>"!#;7$$"+L0zAW!"*$"09b5/ve:"!#;7$$"+b2msW!"*$"0`36[Sw6"!#;7$$"+&G\?_%!"*$"0U$fC$>93"!#;7$$"+/rZrX!"*$"0$z$=f>n/"!#;7$$"+^.*=i%!"*$"0aV@cSG,"!#;7$$"+[vKvY!"*$"/HRa&o]y*!#;7$$"+DUKCZ!"*$"0*=iayw$[*!#<7$$"+P-psZ!"*$"0Pq:)oN)>*!#<7$$"+2FRC[!"*$"01pSl"y0*)!#<7$$"+DE)f([!"*$"0K2cR"3E')!#<7$$"+TwGA\!"*$"0@'pJ@#\Q)!#<7$$"+r#Rr(\!"*$"0-%3:Eu5")!#<7$$"+sl.B]!"*$"0*yk'fN/*y!#<7$$"+='=n2&!"*$"/X>)yoFk(!#;7$$"+NH&z7&!"*$"0JUl/pfT(!#<7$$"+v!*pt^!"*$"0/>60')4A(!#<7$$"+#RX^A&!"*$"0Lu%[wy4q!#<7$$"+MF$pF&!"*$"0%Hb[hU0o!#<7$$"+NRZG`!"*$"0&\j_y%)4m!#<7$$"+E#fiP&!"*$"0VDArg^V'!#<7$$"+J"QdU&!"*$"0[8X#*32E'!#<7$$"+"G4pZ&!"*$"0E'yH1'o3'!#<7$$"+Ej"z_&!"*$"08/N+<*>f!#<7$$"+ULQ!e&!"*$"0C"RPS]ad!#<7$$"+;jfEc!"*$"0XI)f[(Qh&!#<7$$"+'=@'yc!"*$"0Me*Q!*)4Y&!#<7$$"+o'f3t&!"*$"/K.Z0,8`!#;7$$"+D6?"y&!"*$"0"[>i>Uv^!#<7$$"+&*f"p#e!"*$"0$4wPVca]!#<7$$"+(Rv7)e!"*$"0yvk"4q:\!#<7$$"+N\KFf!"*$".Dv4=?![!#:7$$"+-:*3)f!"*$"08]i]XTn%!#<7$$"+&)pIGg!"*$"/U!)\wrkX!#;7$$"+"HH.3'!"*$"0QT_H_&[W!#<7$$"+Co')Hh!"*$"0B;huq:M%!#<7$$"+XSb"='!"*$"0[<.PsNB%!#<7$$"*0>!Hi!")$"0C(eL(Gv8%!#<7$$"+nk@!G'!"*$"0oj^%=;PS!#<7$$"+'>'RLj!"*$"06=%pmJOR!#<7$$"+1$*ozj!"*$"0v]wNZ7&Q!#<7$$"+NroHk!"*$"0tk(H75iP!#<7$$"+%yR8['!"*$"0D-,iqGn$!#<7$$"+C=(=`'!"*$"0h8u*eG)e$!#<7$$"+rTw!e'!"*$"0B]n?+*3N!#<7$$"+%y]]j'!"*$"0a=OnvMU$!#<7$$"+=(HQo'!"*$"0rJdDn!\L!#<7$$"+[;"ft'!"*$"0AVwg")>F$!#<7$$"+=c5$y'!"*$"0p4l\gT?$!#<7$$"+&3,Z$o!"*$"0)4He=9KJ!#<7$$"+2%[K)o!"*$"0JJ9]Nj1$!#<7$$"+UV*R$p!"*$"/#z-t/&**H!#;7$$"+pxg$)p!"*$"01F;&*Hg$H!#<7$$"+K%[b.(!"*$"0JWH?#[rG!#<7$$"+dMd&3(!"*$"0#3&R_"46G!#<7$$"+w7tOr!"*$"/e(e1s5v#!#;7$$"+#[lu=(!"*$"0eL0HDKp#!#<7$$"*&\3Ms!")$".bMJ"\TE!#:7$$"+:h^(G(!"*$"0idF+:Qe#!#<7$$"+$f0`L(!"*$"0;AanUO`#!#<7$$"*9fiQ(!")$"/ocM"p:[#!#;7$$"+'=G]V(!"*$"0RK!4i0LC!#<7$$"+X*z"*[(!"*$"0YQw0f1Q#!#<7$$"+(Qrg`(!"*$"0$fE9d\OB!#<7$$"+)f$H*e(!"*$"0>>u[$o(G#!#<7$$"+f)*zPw!"*$"/(>xttVC#!#;7$$"*4e3p(!")$"/;-JDC)>#!#;7$$"+s$Qmt(!"*$"0b^dx\%f@!#<7$$"+knx)y(!"*$"0V+s3tj6#!#<7$$"+z)R"Ry!"*$"0)pq:U%e2#!#<7$$"+&4q%*)y!"*$"/(GO4pj.#!#;7$$"+c^hRz!"*$"/\%*Q$G!)*>!#;7$$"+f))y()z!"*$"0p@'zg4i>!#<7$$"+/f')R!)!"*$"/df[\@C>!#;7$$"*6*\*3)!")$"07z)*o8!*)=!#<7$$"+=dtT")!"*$"0--vE()G&=!#<7$$"+KC-*=)!"*$"0U;]Iu4#=!#<7$$"+&4$GT#)!"*$"0"=sU8b'y"!#<7$$"+3(R8H)!"*$"0dyj!*)Qa<!#<7$$"+#[u7M)!"*$"00)Qq$pIs"!#<7$$"+[:V$R)!"*$"0uZ(Gp9"p"!#<7$$"*6q9W)!")$"0k>u2RCm"!#<7$$"+m"o1\)!"*$"/7E]yqL;!#;7$$"+j'))\a)!"*$"0^ct/\Fg"!#<7$$"+F9<%f)!"*$"00P/c*Qv:!#<7$$"*-qWk)!")$"0>d'R'\![:!#<7$$"+(QAcp)!"*$"/iNH1*3_"!#;7$$"+n8kU()!"*$"0@dWw$['\"!#<7$$"*3iFz)!")$"0NLK[Q5Z"!#<7$$"+m7]U))!"*$"0&eJBSNY9!#<7$$"+Qnq&*))!"*$"0/G;)ob?9!#<7$$"+h#eE%*)!"*$"0^8p:*H)R"!#<7$$"+t0$o**)!"*$"0'*\fM#>t8!#<7$$"+4prX!*!"*$"03P8w[5N"!#<7$$"+#Q(3%4*!"*$"0)Hvu\gH8!#<7$$"+"=,h9*!"*$"0%fmz$\qI"!#<7$$"+#QD$)>*!"*$"0R_v"H"\G"!#<7$$"+y;%eC*!"*$"0'oG^U?l7!#<7$$"+p=I'H*!"*$"0Y*\[LrW7!#<7$$"+&3YbM*!"*$"04U$\19D7!#<7$$"+Ot#*)R*!"*$"0c(H1WQ/7!#<7$$"+bp6X%*!"*$"0j#)*37!o="!#<7$$"+<u;)\*!"*$"0aV)>g-n6!#<7$$"+Qw.[&*!"*$"0kAO$\$)[6!#<7$$"+rhU(f*!"*$"0>2"o->J6!#<7$$"**R&ok*!")$"0(e1&["*Q6"!#<7$$"+OsE(p*!"*$"0<^yD4m4"!#<7$$"+KWq](*!"*$"0Q$)G]y'y5!#<7$$"*6,(*z*!")$"0$G'))ozD1"!#<7$$"*7n![)*!")$"076#o2+Z5!#<7$$"+$fp(**)*!"*$"0-"*H6#oI5!#<7$$"+2&f8&**!"*$"0b"*4ENZ,"!#<7$$"$+"!""$"#5!"%-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&k~=~36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6%7dz7$$"/DJq:+V;!#;$"0`m:"pHs8!"$7$$".D19.gG$!#:$"0%3H(pbod)!"&7$$"/v$4r/!H\!#;$"0Q$)zr$>%p"!"&7$$"-D"G1?d'!#9$"0y13"[`g`!"'7$$"/Dc^y+:#)!#;$"0Y1&e]n&>#!"'7$$".v=U4!e)*!#:$"0hRP2r)e5!"'7$$"0v=#*4,,:"!#;$"0;c0LAbr&!"(7$$"-Dc7S98!#8$"0CanDM.N$!"(7$$"0D"G89qy9!#;$"0`&p#=(f"4#!"(7$$"/DJq:+V;!#:$"0am:"pHs8!"(7$$"0vVts,t!=!#;$"0ueNbsHP*!")7$$".vV)=gr>!#9$"0ds3@Wzh'!")7$$"0D19/-f8#!#;$"0%f!*RHz/[!")7$$"/vV)>--I#!#:$"/wfc9?sN!"(7$$"0voaN-XY#!#;$"/Mx[*42r#!"(7$$",D^-)GE!#7$"/9Z5*eR4#!"(7$$"0DJ&pE5$z#!#;$"0xr98cIk"!")7$$"/DcEGSdH!#:$"/Z=R#[sI"!"(7$$"0v$f$)Hq@J!#;$"/35xG,`5!"(7$$".D19.gG$!#9$"0%3H(pbod)!"*7$$"0DcwH..X$!#;$"0.%43/?cq!"*7$$"/voaMg9O!#:$"0@uf%y5ee!"*7$$"0v=<h.*yP!#;$"094>3XQ!\!"*7$$"-voP?VR!#8$"0N&zJ^@OT!"*7$$"0D"yDR]2T!#;$"0L5O4!38N!"*7$$"/D"G3/=F%!#:$"0@Tue&*H+$!"*7$$"0vV)RU5OW!#;$"0boSu=Ae#!"*7$$".voR//g%!#9$"/NP5fiKA!")7$$"0D1Rb/Zw%!#;$"04U='GCS>!"*7$$"/v$4r/!H\!#:$"0Q$)zr$>%p"!"*7$$"0voz'[I$4&!#;$"0A,l7Sf["!"*7$$"+D]gd_!#6$"0iW!>Vs38!"*7$$".DJrh0S&!#9$"0'>Gd&eb<"!"*7$$"-D,%=Na&!#8$"09iV]2*e5!"*7$$".v$*3vko&!#9$"0EXw%Gtj&*!#57$$",vxJ%He!#7$"0CRXgX&f')!#57$$".DcY)Qsf!#9$"083uEL(fy!#57$$"-v`^M:h!#8$"0%f+nc;]r!#57$$".v=%=Iei!#9$"/>\u[*)=l!"*7$$"*`e7S'!#5$"0;3>Ryd&f!#57$$"-D1><(o'!#8$"0D#3S8p+]!#57$$",DG&3tp!#7$"06**yu2'HU!#57$$"-ve')**es!#8$"0^iad!e,O!#57$$"+N?"\a(!#6$"0f7-:5f3$!#57$$",vyQn6)!#7$"0N+0c`RI#!#57$$"*al&)o)!#5$"/B1'Q>Zv"!"*7$$",DH#Rg#*!#7$"0RYYCB)f8!#57$$"+X!>A$)*!#6$"0D8!RZ-q5!#57$$"-v*\`/C"!#7$"0"=@SRbBU!#67$$"+&4&o(\"!#5$"0EC9d\v)>!#67$$",&)y@mv"!#6$"0%)*p"4O-0"!#67$$"+#[eb,#!#5$"0KGl?V#fg!#77$$",X\kKF#!#6$"0n'yHUbWP!#77$$"+20(4`#!#5$"0i7:IypV#!#77$$"+KM#)3I!#5$"0hID!*\,A"!#77$$"+dCh.N!#5$"0`h4()[kj'!#87$$"+vRK:S!#5$"06#fg'fp%Q!#87$$"+FWRDX!#5$"0T`fHtVQ#!#87$$"+$ek+0&!#5$"0F'f**)*[P:!#87$$"+UV>7b!#5$"09T8?$=$3"!#87$$"+&*HWKg!#5$"/=&eN$R^v!#87$$"+Ry#[b'!#5$"0b%4'=]pT&!#97$$"+KCCeq!#5$"0a6If_"HS!#97$$"*6"R:v!"*$"0#HtwJoMJ!#97$$"+0^)*e!)!#5$"0vu;&3rqB!#97$$"+A0[>&)!#5$"0l=6OC#)*=!#97$$"+mh9b!*!#5$"07SY*pO(["!#97$$"+D5IH&*!#5$"0;Ff!oq77!#97$$"+0C&\+"!"*$"0>ivMKV!)*!#:7$$"*%**[a5!")$"0U0l*oz(3)!#:7$$"+hr<16!"*$"0_z/CV)ym!#:7$$"+k@k`6!"*$"/Q4t.nXc!#97$$"+$eR[?"!"*$"0d^0<7bu%!#:7$$"+7$>!e7!"*$"0H<[r`D*R!#:7$$"+BCJ/8!"*$"0W*ouA?bM!#:7$$"*D5VN"!")$"0xZTZPD(H!#:7$$"+)*G'fS"!"*$"0wml&>?fD!#:7$$"+Q\\c9!"*$"0AhvY-@A#!#:7$$"+%G(Q0:!"*$"0Q7f:%=Z>!#:7$$"+)*Qnf:!"*$"0Rq+q9**o"!#:7$$"+OGX3;!"*$"0%>2:`0%\"!#:7$$"+kZ`g;!"*$"0Z&*oR\_J"!#:7$$"+J(Gxq"!"*$"0'*>Skvd<"!#:7$$"+.UKf<!"*$"04FH2)zV5!#:7$$"+@:(y!=!"*$"0_7*y;;h$*!#;7$$"+duhe=!"*$"0AAv`@*z$)!#;7$$"+%)3B3>!"*$"0E4cpA=a(!#;7$$"+X:<g>!"*$"0p:'QWmtn!#;7$$"+vl>5?!"*$"0#4)y#4:Ch!#;7$$"+$Ra81#!"*$"0))R38k%Qb!#;7$$"+)f)37@!"*$"/\qa#y^-&!#:7$$"+k!3(e@!"*$"/rV3R%\g%!#:7$$"+L#R@@#!"*$"0c7Bu+f<%!#;7$$"+2(G*fA!"*$"0YXMxDP$Q!#;7$$"+bA)3J#!"*$"/ho">?m]$!#:7$$"+,8lfB!"*$"0#y+=keDK!#;7$$"+fI!QT#!"*$"0"HVh"Gd%H!#;7$$"+.XpgC!"*$"0#*QD"z_FF!#;7$$"+6n"R^#!"*$"0&R<(p"y.D!#;7$$"+wHUiD!"*$"0h+">D^>B!#;7$$"+17[:E!"*$"0vrW=Yp8#!#;7$$"+'[h7m#!"*$"/B.uSl$*>!#:7$$"+"))*R8F!"*$"0Wb,!4yW=!#;7$$"+(*HwjF!"*$"0x29rWRr"!#;7$$"+6K49G!"*$"0ne'o"zXf"!#;7$$"*FQU'G!")$"0p4T^5e["!#;7$$"+t>T7H!"*$"0bpmo;**Q"!#;7$$"+A!*[kH!"*$"0,Z%4Qz%H"!#;7$$"+EA79I!"*$"0>o0Y#f67!#;7$$"+N)ej1$!"*$"0b!4v%=68"!#;7$$"+Ybk8J!"*$"0VjK8bR1"!#;7$$"+8i!f;$!"*$"00uhRLU&**!#<7$$"+EG'f@$!"*$"0zB$)4,)[$*!#<7$$"+*f(*eE$!"*$"0RF&Hw,!z)!#<7$$"+jY0=L!"*$"/ATjhA]#)!#;7$$"+CK4mL!"*$"0o$\)QY#*y(!#<7$$"*G"H:M!")$"0'pJe"G+N(!#<7$$"+"y6'pM!"*$"0(o^H\V+p!#<7$$"+XXz=N!"*$"07zUFaE_'!#<7$$"+LJ4pN!"*$"0=W*>Qmih!#<7$$"+-bC?O!"*$"0ECZOu;#e!#<7$$"+$[ksm$!"*$"/xmCC!)Gb!#;7$$"+%>&Q<P!"*$"06z**3/mB&!#<7$$"+$QCrw$!"*$"0:brona'\!#<7$$"+a)H.#Q!"*$"0-R)4zd%p%!#<7$$"+y8GnQ!"*$"0%)>1D92Z%!#<7$$"+*o`9#R!"*$"0/t'pjuGU!#<7$$"+C+MqR!"*$"0Fc,H*GCS!#<7$$"+(\5(=S!"*$"0frU))3S$Q!#<7$$"+%HC22%!"*$"0%Rz>hxTO!#<7$$"+)\[H7%!"*$"0/VN7N2Y$!#<7$$"+"zk/<%!"*$"0vmMI!p0L!#<7$$"+%)\#4A%!"*$"0(3+?tU]J!#<7$$")#p,F%!"($"0O5K:(f2I!#<7$$"*X]NK%!")$"0NwLv!zhG!#<7$$"+s+upV!"*$"0(4")GapUF!#<7$$"+L0zAW!"*$"0Tt+#>X8E!#<7$$"+b2msW!"*$"0\7d&o#))\#!#<7$$"+&G\?_%!"*$"0#HG'RO9R#!#<7$$"+/rZrX!"*$"0(H"))zu'*G#!#<7$$"+^.*=i%!"*$"0%3=T*)R">#!#<7$$"+[vKvY!"*$"0DV[:;H4#!#<7$$"+DUKCZ!"*$"/#49uLu+#!#;7$$"+P-psZ!"*$"0^(pI(*GF>!#<7$$"+2FRC[!"*$"0(*p"*>!*f%=!#<7$$"+DE)f([!"*$"0f@x+'4p<!#<7$$"+TwGA\!"*$"/8v6/Y.<!#;7$$"+r#Rr(\!"*$"0of&)G*fH;!#<7$$"+sl.B]!"*$"0u!z?(\3d"!#<7$$"+='=n2&!"*$"0H--[aa]"!#<7$$"+NH&z7&!"*$"0"e4%3&=Y9!#<7$$"+v!*pt^!"*$"0pTh[5dR"!#<7$$"+#RX^A&!"*$"0D&eA)[:M"!#<7$$"+MF$pF&!"*$"0eWjlb'*G"!#<7$$"+NRZG`!"*$"0*f$orw/C"!#<7$$"+E#fiP&!"*$"0JG_yep>"!#<7$$"+J"QdU&!"*$"0cy%G2*Q:"!#<7$$"+"G4pZ&!"*$"0Zu?!yO66!#<7$$"+Ej"z_&!"*$"/l1=H"42"!#;7$$"+ULQ!e&!"*$"0%H7#G-7."!#<7$$"+;jfEc!"*$"0RhU\!Rx**!#=7$$"+'=@'yc!"*$"0VX%y<v;'*!#=7$$"+o'f3t&!"*$"04_>")y3F*!#=7$$"+D6?"y&!"*$"0)H#R"p:_*)!#=7$$"+&*f"p#e!"*$"0b0kR5Xn)!#=7$$"+(Rv7)e!"*$"0%3@QEAe$)!#=7$$"+N\KFf!"*$"0U$f;H\,")!#=7$$"+-:*3)f!"*$"0N['[<8:y!#=7$$"+&)pIGg!"*$"0JL.oQ@d(!#=7$$"+"HH.3'!"*$"/lG0;I;t!#<7$$"+Co')Hh!"*$"06n9,^E3(!#=7$$"+XSb"='!"*$"0\1`_=([o!#=7$$"*0>!Hi!")$"0fFP+WBk'!#=7$$"+nk@!G'!"*$"0h?F3!QGk!#=7$$"+'>'RLj!"*$"0s$ec^<:i!#=7$$"+1$*ozj!"*$"/F9U=tOg!#<7$$"+NroHk!"*$"0yxu(>9^e!#=7$$"+%yR8['!"*$"/m&)e&Qom&!#<7$$"+C=(=`'!"*$"06"pJK]$\&!#=7$$"+rTw!e'!"*$"0(HvXe0K`!#=7$$"+%y]]j'!"*$"0U[))p#of^!#=7$$"+=(HQo'!"*$"003d/,2,&!#=7$$"+[;"ft'!"*$"0i6Qf=v&[!#=7$$"+=c5$y'!"*$"0QhDqOPs%!#=7$$"+&3,Z$o!"*$"/'3I'\q#e%!#<7$$"+2%[K)o!"*$"0TOBmzZX%!#=7$$"+UV*R$p!"*$"0@RPL'zDV!#=7$$"+pxg$)p!"*$"0uuWhtT?%!#=7$$"+K%[b.(!"*$"0^YFr!R"3%!#=7$$"+dMd&3(!"*$"0T/Z6Xt'R!#=7$$"+w7tOr!"*$"/`#p&o![&Q!#<7$$"+#[lu=(!"*$"02E>09ru$!#=7$$"*&\3Ms!")$"0n`g)=X^O!#=7$$"+:h^(G(!"*$"0^YF!f`XN!#=7$$"+$f0`L(!"*$"0B_+MQSX$!#=7$$"*9fiQ(!")$"0)4$)e.rfL!#=7$$"+'=G]V(!"*$"0[d@lBCF$!#=7$$"+X*z"*[(!"*$"/P9Y!)zyJ!#<7$$"+(Qrg`(!"*$"0j+66;/5$!#=7$$"+)f$H*e(!"*$"0$zT(GcV,$!#=7$$"+f)*zPw!"*$"0Bv==3&QH!#=7$$"*4e3p(!")$"0"4UBRDeG!#=7$$"+s$Qmt(!"*$"/$z21*>"z#!#<7$$"+knx)y(!"*$"0hQqb3sr#!#=7$$"+z)R"Ry!"*$"0%)o]*40[E!#=7$$"+&4q%*)y!"*$"035RxA6e#!#=7$$"+c^hRz!"*$"0W&4h/`;D!#=7$$"+f))y()z!"*$"0W"z$[pjX#!#=7$$"+/f')R!)!"*$"0P#[#4ULR#!#=7$$"*6*\*3)!")$"0fl-'H9NB!#=7$$"+=dtT")!"*$"0e'p5!*yvA!#=7$$"+KC-*=)!"*$"0Ui0FxOA#!#=7$$"+&4$GT#)!"*$"0N'Rss!y;#!#=7$$"+3(R8H)!"*$"00#*HNHf6#!#=7$$"+#[u7M)!"*$"0(orYZrl?!#=7$$"+[:V$R)!"*$"0-?"zc%[,#!#=7$$"*6q9W)!")$"0b)Q9:Pp>!#=7$$"+m"o1\)!"*$"0%oBd;7C>!#=7$$"+j'))\a)!"*$"0-bLlfc(=!#=7$$"+F9<%f)!"*$"03!*oo!4L=!#=7$$"*-qWk)!")$"0Fyni(z!z"!#=7$$"+(QAcp)!"*$"0*Q0:-.\<!#=7$$"+n8kU()!"*$"066=o1<r"!#=7$$"*3iFz)!")$"0")4hn5In"!#=7$$"+m7]U))!"*$"0'\bqUoN;!#=7$$"+Qnq&*))!"*$"0oYal,pf"!#=7$$"+h#eE%*)!"*$"0Vn-3GOc"!#=7$$"+t0$o**)!"*$"0/n_x1j_"!#=7$$"+4prX!*!"*$"02P\UyN\"!#=7$$"+#Q(3%4*!"*$"0'RY?V0i9!#=7$$"+"=,h9*!"*$"0[R#)>y!H9!#=7$$"+#QD$)>*!"*$"0JsUu)*oR"!#=7$$"+y;%eC*!"*$"0Y*GVNSo8!#=7$$"+p=I'H*!"*$"0AR](Q$*Q8!#=7$$"+&3YbM*!"*$"097\KN4J"!#=7$$"+Ot#*)R*!"*$"0Fa?B19G"!#=7$$"+bp6X%*!"*$"0=J:dBlD"!#=7$$"+<u;)\*!"*$"/QjfaoG7!#<7$$"+Qw.[&*!"*$"0)Q=dd@.7!#=7$$"+rhU(f*!"*$"0L&e(>R'y6!#=7$$"**R&ok*!")$"0'4MH"oY:"!#=7$$"+OsE(p*!"*$"0;z')fV38"!#=7$$"+KWq](*!"*$"01!f**pD16!#=7$$"*6,(*z*!")$"/*>'e!)H%3"!#<7$$"*7n![)*!")$"0tNlc`J1"!#=7$$"+$fp(**)*!"*$"0z*zts6T5!#=7$$"+2&f8&**!"*$"09p#3^p>5!#=7$$"$+"!""$"#5!"&-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&k~=~46"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"$+"!"";$""!!""$"#7!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"y6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%ROOTG6'-%)BOUNDS_XG6#$"$!\!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%+M!""-%.BOUNDS_HEIGHTG6#$"%II!""-%)CHILDRENG6"

Figura 5.1 O gr\303\241fico de 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 para valores grandes e positivos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5

O limite no infinito de uma fun\303\247\303\243o racional em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 tipicamente avaliado pela identifica\303\247\303\243o da mais alta pot\303\252ncia de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= no denominador e dividindo ambos numerador e denominador por esta pot\303\252ncia de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= . A express\303\243o obtida desta manipula\303\247\303\243o ter\303\241 um denominador cujo limite no infinito existe e n\303\243o \303\251 zero. Se o numerador n\303\243o cont\303\251m pot\303\252ncias positivas de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, ent\303\243o a Regra do Quociente pode ser usada para determinar o valor deste limite no infinito. O caso com pot\303\252ncias positivas de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= no numerador ser\303\241 discutida no Cap\303\255tulo 6, o cap\303\255tulo de limites infinitos.

<Text-field style="Heading 2" layout="Heading 2">Exemplo 5.1</Text-field>

Para o nosso primeiro exemplo, considere o limite no infinito de uma fun\303\247\303\243o racional, na qual o numerador e o denominador sejam ambos polin\303\264mios de quinto grau. Tal fun\303\247\303\243o poderia ser:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNMMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLC4qJiIjaiIiIilJInhHRiciIiZGLUYtKiYiI1JGLSlGLyIiJUYtISIiKiYiI1tGLSlGLyIiJEYtRjUqJiIjJSpGLSlGLyIiI0YtRjUqJiIjNUYtRi9GLUYtIiM/RjVGLSwuKiYiI3FGLUYuRi1GLSomIiMpKkYtRjNGLUYtKiYiI2VGLUY4Ri1GLSomIiNYRi1GPEYtRi0qJiIjN0YtRi9GLUY1IiNHRi1GNS9GL0kpaW5maW5pdHlHRiU=

O mais alto grau no denominador \303\251:

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

IiIm

Dividindo ambos numerador e denominador por 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 produz -se o problema equivalente:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEjTDFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiw2JVEjTDJGJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGK0ZZRkBGK0ZZRkA=

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwuKiYiI2oiIiIpSSJ4R0YoIiImRi5GLiomIiNSRi4pRjAiIiVGLiEiIiomIiNbRi4pRjAiIiRGLkY2KiYiIyUqRi4pRjAiIiNGLkY2KiYiIzVGLkYwRi5GLiIjP0Y2Ri4sLiomIiNxRi5GL0YuRi4qJiIjKSpGLkY0Ri5GLiomIiNlRi5GOUYuRi4qJiIjWEYuRj1GLkYuKiYiIzdGLkYwRi5GNiIjR0YuRjYvRjBJKWluZmluaXR5R0YmLUYkNiQqJiwuRi1GLiomRjNGLkYwRjZGNiomRjhGLkY9RjZGNiomRjxGLkY5RjZGNiomRkBGLkY0RjZGLiomRkFGLkYvRjZGNkYuLC5GREYuKiZGRkYuRjBGNkYuKiZGSEYuRj1GNkYuKiZGSkYuRjlGNkYuKiZGTEYuRjRGNkY2KiZGTUYuRi9GNkYuRjZGTg==

Note que o limite do denominador existe e n\303\243o \303\251 zero, como se v\303\252 no Maple via:

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsLiIjcSIiIiomIiMpKkYsSSJ4R0YoISIiRiwqJiIjZUYsKUYvIiIjRjBGLComIiNYRiwpRi8iIiRGMEYsKiYiIzdGLClGLyIiJUYwRjAqJiIjR0YsKUYvIiImRjBGLC9GL0kpaW5maW5pdHlHRiZGKw==

A Regra do Quociente para limites pode ser aplicada para determinar que o valor para este limite \303\251 dado por:

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwuIiNqIiIiKiYiI1JGLUkieEdGKCEiIkYxKiYiI1tGLSlGMCIiI0YxRjEqJiIjJSpGLSlGMCIiJEYxRjEqJiIjNUYtKUYwIiIlRjFGLSomIiM/Ri0pRjAiIiZGMUYxRi0sLiIjcUYtKiYiIykqRi1GMEYxRi0qJiIjZUYtRjRGMUYtKiYiI1hGLUY4RjFGLSomIiM3Ri1GPEYxRjEqJiIjR0YtRkBGMUYtRjEvRjBJKWluZmluaXR5R0YmKiYtRiQ2JEYrRk5GLS1GJDYkRkJGTkYx

L0khRzYiIyIiKiIjNQ==

A Figura 5.2, contendo um gr\303\241fico desta fun\303\247\303\243o, confirma que este \303\251 um resultado razo\303\241vel.

-%%PLOTG6&-%'CURVESG6$7[x7$$"#5!""$!0&))e8.$*fW!#:7$$"+DHyI6!"*$!0sAqi6zE$!#:7$$"*&ech7!")$!/N;J$e;C#!#97$$"+v([BR"!"*$!0r,^nx<O"!#:7$$")<8B:!"($!0-*RdM:[g!#;7$$"*b(p%y"!")$"0mo/h!fBi!#;7$$")MEY?!"($"/B#H**)pp:!#97$$"+&\P9]#!"*$"0&Q?S)y]y#!#:7$$"*f6m&H!")$"0m^1"Qp_O!#:7$$"+lC]oM!"*$"0"z-*\wPP%!#:7$$"*M$R!)R!")$"0KGcK$e?\!#:7$$"*Qh4,&!")$"06?YS91q&!#:7$$"*JJm.'!")$"0F)>y/^Di!#:7$$"*jev)p!")$"0()H:J()4e'!#:7$$"*z)=sz!")$"0V*4b>pjo!#:7$$"*r%\!**)!")$"0T8'3Fn$4(!#:7$$"+"\`0+"!")$"0O44(==ys!#:7$$"+_G'\5"!")$"/p*y7KRV(!#97$$"+um#p>"!")$"0-[UK;%\v!#:7$$"+chX+8!")$"0ig9fV0m(!#:7$$"*u5WS"!"($"01BVfshv(!#:7$$"+W-f/:!")$"0^]FI4i$y!#:7$$"+JGc&f"!")$"0E%[K%R/!z!#:7$$"+O!QPq"!")$"0-.j/Q"oz!#:7$$"+CmP&z"!")$"0N`D8x#>!)!#:7$$"+(3u>!>!")$"0Do2$Qss!)!#:7$$"+/4L'*>!")$"01!4v#*Q:")!#:7$$"+(Gb)*4#!")$"0$\$*pS*y:)!#:7$$"+")\V)>#!")$"09p\ULZ>)!#:7$$"*b#H,B!"($"0#)zUX"))H#)!#:7$$"+2zu&R#!")$"0@"H]qbf#)!#:7$$"*xIw\#!"($"06V;7-"*G)!#:7$$"+J%eMg#!")$"0.$))=<R<$)!#:7$$"+@<e&p#!")$"0)3KXYCS$)!#:7$$"+)Rx]z#!")$"0\(HuiEj$)!#:7$$"+oh'y*G!")$"0:,G.?aQ)!#:7$$"+E\U)*H!")$"0'z>X%\cS)!#:7$$"+&p?d4$!")$"0hP:6$*RU)!#:7$$"+e5v.K!")$"0D'Q&=xIW)!#:7$$"+W6#3I$!")$"09j+*p<f%)!#:7$$"*=kWS$!"($"0T+^kp`Z)!#:7$$"+v,Q)\$!")$"0"4!)ooA*[)!#:7$$"+k^0,O!")$"0%G$e%>c.&)!#:7$$"+FVm(p$!")$"0w)H_RL;&)!#:7$$"+R([')z$!")$"0a8b'****G&)!#:7$$"*Yzt*Q!"($"0eqTqd2a)!#:7$$"+v8u+S!")$"0)e<cPX_&)!#:7$$"+%="H+T!")$"0hP#4&oJc)!#:7$$"+U_4-U!")$"0lR>x2Od)!#:7$$"+6j0.V!")$"0_&)z0zMe)!#:7$$"+[!HeR%!")$"01_m/b@f)!#:7$$"+uq:-X!")$"0%ow>Wm,')!#:7$$"+G"esf%!")$"0"))e"f,)4')!#:7$$"+(ob')p%!")$"08-S,>"=')!#:7$$"+*31dz%!")$"0iiSGadi)!#:7$$"+)3oM!\!")$"0tZs@#)Qj)!#:7$$"+h?y'*\!")$"0P`*z.kS')!#:7$$"+bUp-^!")$"0zINy9![')!#:7$$"+A<A*>&!")$"0E;k!pZa')!#:7$$"+,w![I&!")$"06xi,z7m)!#:7$$"+e."fR&!")$".x!*ROpm)!#87$$"+kdm*\&!")$"0\"4qN:t')!#:7$$"+k$)))*f&!")$"0Ea)>D%*y')!#:7$$"+"\X+q&!")$"0pqsMEXo)!#:7$$"+eT$)*z&!")$"/@;F(**)*o)!#97$$"+F)*p&*e!")$"0Q'G6A*[p)!#:7$$"+aJL**f!")$"/7()e96+()!#97$$"+HK5)4'!")$"0hYbAA\q)!#:7$$"+#3a??'!")$"0HjhO@)4()!#:7$$"+OY:'H'!")$"0s@Y.=Tr)!#:7$$"+kL:+k!")$"0B#4&*4s=()!#:7$$"+Bgw*\'!")$"0^;!RH*Hs)!#:7$$"+Ai8*f'!")$"0LVp5Frs)!#:7$$"*yGHq'!"($"/v2/bJJ()!#97$$"+:b_)z'!")$"0RS2*41N()!#:7$$"+['Hk*o!")$"0K?N:!zQ()!#:7$$"+Wu_/q!")$"0%y,(\(yU()!#:7$$"+W6S-r!")$"0`L"eEIY()!#:7$$"+N`\-s!")$"0%o>_&*z\()!#:7$$"+\&)G/t!")$"0hk()GeKv)!#:7$$"+@j&yR(!")$"0nx3Cajv)!#:7$$"+Olf(\(!")$"0@jc**p&f()!#:7$$"+Avd'f(!")$"/UgF%yEw)!#97$$"*TcCq(!"($"00_Vr:fw)!#:7$$"+U**)ez(!")$"0&Qm')**po()!#:7$$"+UGp.z!")$"07OtEJ=x)!#:7$$"+[m(4+)!")$"0L*y,^eu()!#:7$$"+*)QB(4)!")$"0KUr@Xsx)!#:7$$"+Y8u+#)!")$"0NI5^O+y)!#:7$$"+7vm/$)!")$"0@3XepFy)!#:7$$"+N\A*R)!")$"0'Q1@z>&y)!#:7$$"+=2k*\)!")$"0@7y&zr(y)!#:7$$"+3nj(f)!")$"/6'z*37!z)!#97$$"+&RlQq)!")$"0<!*>+lEz)!#:7$$"+WFy&z)!")$"01py4<[z)!#:7$$"+hJN,*)!")$"/yAzVB(z)!#97$$"+.\f+!*!")$"0Qb!y`X*z)!#:7$$"+y!y))4*!")$"0y9A[2;!))!#:7$$"+Q%Rs>*!")$"0#f:Tbr.))!#:7$$"+*zhvH*!")$"0tF6(*>e!))!#:7$$"+@=!RS*!")$"0=$f:>+3))!#:7$$"+3_S,&*!")$"0k*G)))f*4))!#:7$$"+rNl(f*!")$"0by&zQ&="))!#:7$$"+([T0q*!")$"09ZQ@PQ"))!#:7$$"+Da?.)*!")$"0\'R$)\x:))!#:7$$"+1CN&*)*!")$"0'\z3-[<))!#:7$$"+:2X+5!"($"0'G2m(f%>))!#:7$$",yF%e45!")$"09B`Y$3@))!#:7$$",a+n--"!")$"/R."*e%H#))!#97$$"+MEYI5!"($"0Xdse(oC))!#:7$$",f6m&R5!")$"0mpw+9i#))!#:7$$",M$R!)\5!")$"0)z*y<**y#))!#:7$$",Qh4,1"!")$"0p\$GGcH))!#:7$$",JJm.2"!")$"037!Rp=J))!#:7$$",jev)z5!")$"0o6mGlE$))!#:7$$",z)=s*3"!")$"0Y\!))*oT$))!#:7$$",r%\!**4"!")$"08B5&fpN))!#:7$$","\`056!")$"0p5ZG!>P))!#:7$$",_G'\?6!")$"0w+?H*pQ))!#:7$$",um#pH6!")$"0.!*HW0+%))!#:7$$",chX+9"!")$".sdx]9%))!#87$$"+u5W]6!"($"0KlP+wG%))!#:7$$",W-f/;"!")$"0Q)ePaAW))!#:7$$",JGc&p6!")$"0"[$e#4VX))!#:7$$",O!QP!="!")$"0WfYISo%))!#:7$$",CmP&*="!")$"0(*ozF9![))!#:7$$",(3u>+7!")$"0(G[VuN\))!#:7$$",/4L'47!")$"/rq<n_]))!#97$$",(Gb)*>7!")$"0Tj&*)))y^))!#:7$$",")\V)H7!")$"0ml(>6(H&))!#:7$$"+b#H,C"!"($"0Fm?r%=a))!#:7$$",2zu&\7!")$"0p^Vl"Gb))!#:7$$"+xIwf7!"($"0*Q(4]Yk&))!#:7$$",J%eMq7!")$"0wS!enjd))!#:7$$",@<e&z7!")$"/%4b#ple))!#97$$",)Rx]*G"!")$"0T.pVU(f))!#:7$$",oh'y*H"!")$"0o$>.l%3'))!#:7$$",E\U)48!")$"0`7V#*4>'))!#:7$$",&p?d>8!")$"0zF4[BH'))!#:7$$",e5v.L"!")$"0TM9dJS'))!#:7$$",W6#3S8!")$"0>%yo?,l))!#:7$$"+=kW]8!"($"0XvxYVg'))!#:7$$",v,Q)f8!")$"0Yp)\X'p'))!#:7$$",k^0,P"!")$"0*[q\r&z'))!#:7$$",FVm(z8!")$"/4Uxw()o))!#97$$",R([')*Q"!")$"0wMIFE)p))!#:7$$"+Yzt*R"!"($"0c'HA0uq))!#:7$$",v8u+T"!")$"/Jp'*Ror))!#97$$",%="H+U"!")$"0\;ZuzD())!#:7$$",U_4-V"!")$"0#3iLH[t))!#:7$$",6j0.W"!")$"0Y@g3mV())!#:7$$",[!He\9!")$"0"\,5o;v))!#:7$$",uq:-Y"!")$"0*z%z1sg())!#:7$$",G"esp9!")$"0tP'*oqo())!#:7$$",(ob')z9!")$"08Dh#4rx))!#:7$$",*31d*["!")$"0xk$oW]y))!#:7$$",)3oM+:!")$"00MXht$z))!#:7$$",h?y'4:!")$"0(phYi6!)))!#:7$$",bUp-_"!")$"0:I"Q"[4)))!#:7$$",A<A*H:!")$"0@yPK'p")))!#:7$$",,w![S:!")$"06^`-/D)))!#:7$$",e."f\:!")$"0,8M7#>$)))!#:7$$",kdm*f:!")$"0>H`.mR)))!#:7$$",k$)))*p:!")$"/AQ?Rq%)))!#97$$","\X+!e"!")$"0l!z1?V&)))!#:7$$",eT$)**e"!")$"/;oE$[h)))!#97$$",F)*p&*f"!")$"09,**4Go)))!#:7$$",aJL*4;!")$"0(\R!)Qb()))!#:7$$",HK5)>;!")$"01y-*pB))))!#:7$$",#3a?I;!")$"0&yvBq%*))))!#:7$$",OY:'R;!")$"0oI%R?e*)))!#:7$$",kL:+l"!")$"0$GCbaF!*))!#:7$$",Bgw*f;!")$"/zR4:$4*))!#97$$",Ai8*p;!")$"0LTi>y:*))!#:7$$"+yGH!o"!"($"0X$=DbC#*))!#:7$$",:b_)*o"!")$"0iWH$H&G*))!#:7$$",['Hk*p"!")$"0*fNWzY$*))!#:7$$",Wu_/r"!")$"0_#QS)QT*))!#:7$$",W6S-s"!")$"0^3R.RZ*))!#:7$$",N`\-t"!")$"0P>b%eM&*))!#:7$$",\&)G/u"!")$"0VyM#e&f*))!#:7$$",@j&y\<!")$"0%GJt-^'*))!#:7$$",Olf(f<!")$"0H(eG[4(*))!#:7$$",Avd'p<!")$"02'*>Wow*))!#:7$$"+TcC!y"!"($"0%H(H*\F)*))!#:7$$",U**)e*y"!")$"0tblI/))*))!#:7$$",UGp.!=!")$"0"[$4A3%**))!#:7$$",[m(45=!")$"/mu_q%***))!#97$$",*)QB(>=!")$"0(4"pau/!*)!#:7$$",Y8u+$=!")$"0w27gN5!*)!#:7$$",7vm/%=!")$"01"o'f#f,*)!#:7$$",N\A*\=!")$"0di-'R4-*)!#:7$$",=2k*f=!")$"0xhG#3i-*)!#:7$$",3nj(p=!")$"0-<1bHJ!*)!#:7$$",&RlQ!)=!")$"0>'fY]n.*)!#:7$$",WFy&*)=!")$"07-%=@9/*)!#:7$$",hJN,!>!")$"0oH%4In/*)!#:7$$",.\f+">!")$"0'pISn;0*)!#:7$$",y!y))>>!")$"/-P(o]c!*)!#97$$",Q%RsH>!")$"0ng#*4Ih!*)!#:7$$",*zhvR>!")$"0&49wSh1*)!#:7$$",@=!R]>!")$"0VLWm@r!*)!#:7$$",3_S,'>!")$"0H7![Ae2*)!#:7$$",rNl(p>!")$"0QUYWK!3*)!#:7$$",([T0!)>!")$"0#e2s)3&3*)!#:7$$",Da?.*>!")$"0yLvOz*3*)!#:7$$"%+?!""$"01uPb=%4*)!#:-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$"#5!""$"%+?!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%SL!""-%.BOUNDS_HEIGHTG6#$"%SQ!""-%)CHILDRENG6"

Figura 5.2

Um gr\303\241fico da fun\303\247\303\243o 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

Note, entretanto, que o gr\303\241fico \303\251 insuficiente sem a manipula\303\247\303\243o alg\303\251brica. \303\211 poss\303\255vel que a fun\303\247\303\243o pare\303\247a bem comportada no intervalo finito mas tenha comportamento diferente para valores mais altos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= .

<Text-field style="Heading 2" layout="Heading 2">Exemplo 5.2</Text-field>

Considere o limite no infinito de uma fun\303\247\303\243o racional cujo denominador tenha um grau mais alto que o numerador. Tal fun\303\247\303\243o poderia ser:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEjZjFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUkmbWZyYWNHRiQ2KC1GIzYnRistRiM2L0YrLUYjNictSSNtbkdGJDYkUSM5M0YnRkAtRj02LVExJkludmlzaWJsZVRpbWVzO0YnRkBGQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZhby1GIzYkLUklbXN1cEdGJDYlLUYsNiVRInhGJ0Y2RjktRmpuNiRRIjZGJ0ZALyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZARitGQC1GPTYtUSIrRidGQEZCRkVGR0ZJRktGTUZPL0ZSUSwwLjIyMjIyMjJlbUYnL0ZVRmVwLUYjNictRmpuNiRRIzQ1RidGQEZdby1GIzYkLUZmbzYlRmhvLUZqbjYkUSI1RidGQEZecEZARitGQEZhcC1GIzYnLUZqbjYkUSM4MUYnRkBGXW8tRiM2JC1GZm82JUZoby1Gam42JFEiNEYnRkBGXnBGQEYrRkBGYXAtRiM2Jy1Gam42JFEiOEYnRkBGXW8tRiM2JC1GZm82JUZoby1Gam42JFEiMkYnRkBGXnBGQEYrRkAtRj02LVEoJm1pbnVzO0YnRkBGQkZFRkdGSUZLRk1GT0ZkcEZmcC1GIzYmLUZqbjYkUSM0NEYnRkBGXW9GaG9GQEZbcy1Gam42JFEjODBGJ0ZARkBGKy8lK2V4ZWN1dGFibGVHRkRGQC1GIzYnRistRiM2L0YrLUYjNictRmpuNiRRIzYzRidGQEZdby1GIzYkLUZmbzYlRmhvLUZqbjYkUSI5RidGQEZecEZARitGQEZbcy1GIzYnLUZqbjYkUSMyNEYnRkBGXW8tRiM2JC1GZm82JUZob0ZhckZecEZARitGQEZbcy1GIzYnRl50Rl1vLUYjNiQtRmZvNiVGaG8tRmpuNiRRIjdGJ0ZARl5wRkBGK0ZARltzLUYjNictRmpuNiRRIzM2RidGQEZdb0ZccUYrRkBGYXAtRiM2Jy1Gam42JFEjODVGJ0ZARl1vLUYjNiQtRmZvNiVGaG8tRmpuNiRRIjNGJ0ZARl5wRkBGK0ZARmFwLUZqbjYkUSMzNUYnRkBGQEYrRmZzRkAvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmN3LyUpYmV2ZWxsZWRHRkRGZnNGQEYrRmZzRkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGZnNGQA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjbjFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEmbnVtZXJGJ0Y2RjktRj02LVEwJkFwcGx5RnVuY3Rpb247RidGQEZCRkVGR0ZJRktGTUZPL0ZSUSYwLjBlbUYnL0ZVRmluLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEjZjFGJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGQEZjb0ZARitGY29GQEYrRmNvRkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGY29GQA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjZDFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEmZGVub21GJ0Y2RjktRj02LVEwJkFwcGx5RnVuY3Rpb247RidGQEZCRkVGR0ZJRktGTUZPL0ZSUSYwLjBlbUYnL0ZVRmluLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEjZjFGJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGQEZjb0ZARitGY29GQEYrRmNvRkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGY29GQA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjTDFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNigtSSdtdW5kZXJHRiQ2JS1GPTYvUSRsaW1GJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRidGQC9JK21zZW1hbnRpY3NHRiRRJmluZXJ0RidGQkZFRkdGSUZLL0ZORjhGTy9GUlEmMC4wZW1GJy9GVVEsMC4xNjY2NjY3ZW1GJy1GIzYnLUYsNiVRInhGJ0Y2RjktRj02LVEoJiM4NTk0O0YnRkBGQkZFRkdGSUZLRk1GT0Zfby9GVUZgby1GLDYlUSgmIzg3MzQ7RidGNkY5LyUrZXhlY3V0YWJsZUdGREZALyUsYWNjZW50dW5kZXJHRkRGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0ZocC8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSNmMUYnRjZGOUZfcEZARitGX3BGQEYrRl9wRkAtRj02LVEiOkYnRkBGQkZFRkdGSUZLRk1GT0ZRRlRGX3BGQA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNMMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLC4qJiIjJCoiIiIpSSJ4R0YnIiInRi1GLSomIiNYRi0pRi8iIiZGLUYtKiYiIyIpRi0pRi8iIiVGLUYtKiYiIilGLSlGLyIiI0YtRi0qJiIjV0YtRi9GLSEiIiIjISlGP0YtLC4qJiIjakYtKUYvIiIqRi1GLSomIiNDRi0pRi9GOkYtRj8qJkZDRi0pRi8iIihGLUY/KiYiI09GLUYzRi1GPyomIiMmKUYtKUYvIiIkRi1GLSIjTkYtRj8vRi9JKWluZmluaXR5R0Yl

O mais alto grau no denominador \303\251:

IiIq

Dividindo ambos numerador e denominador por 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 produz -se o problema equivalente:

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

Note que este limite do denominador existe e \303\251 diferente de zero, como se v\303\252 no Maple via:

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsLiIjaiIiIiomIiNDRixJInhHRighIiJGMComRitGLClGLyIiI0YwRjAqJiIjT0YsKUYvIiIlRjBGMComIiMmKUYsKUYvIiInRjBGLComIiNORiwpRi8iIipGMEYsL0YvSSlpbmZpbml0eUdGJkYr

A Regra do Quociente para limites pode ser aplicada para determinar que o valor para este limite \303\251 dado por:

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwuKiYiIyQqIiIiKUkieEdGKCIiJCEiIkYuKiYiI1hGLilGMCIiJUYyRi4qJiIjIilGLilGMCIiJkYyRi4qJiIiKUYuKUYwIiIoRjJGLiomIiNXRi4pRjBGPEYyRjIqJiIjISlGLilGMCIiKkYyRjJGLiwuIiNqRi4qJiIjQ0YuRjBGMkYyKiZGR0YuKUYwIiIjRjJGMiomIiNPRi5GNUYyRjIqJiIjJilGLilGMCIiJ0YyRi4qJiIjTkYuRkRGMkYuRjIvRjBJKWluZmluaXR5R0YmKiYtRiQ2JEYrRlVGLi1GJDYkRkZGVUYy

L0khRzYiIiIh

Figura 5.3, contendo um gr\303\241fico desta fun\303\247\303\243o, confirma este resultado.

-%%PLOTG6&-%'CURVESG6$7gx7$$"#5!""$"0nmmmmmr"!#97$$"028EAfO-"!#9$"0l%R4Lz_@!#97$$"08E_W=t/"!#9$"/\Nr=-<E!#87$$"0e;$3U!z1"!#9$"0&H?7$RS.$!#97$$"0/29(**[)3"!#9$"0.8'[-9]M!#97$$"+:3k66!"*$"0Z")4Swk*Q!#97$$"0'Hfe;zM6!#9$"0nXi!\o$H%!#97$$"0.05'f4e6!#9$"0^t$Hg:;Y!#97$$"04<ME+9="!#9$"0Q)\#*f>Q[!#97$$"0T#)R.(*H>"!#9$"0e!zE$Go!\!#97$$"0uZX!Qf/7!#9$"0nA#*QQo%\!#97$$"02*=(*H\27!#9$"03::2+C&\!#97$$"//$)*=#R57!#8$"03%\s#4i&\!#97$$"0trCQ"H87!#9$"0&>+qIGe\!#97$$"028^d!>;7!#9$"0[gnLT'e\!#97$$"/Wvn(*3>7!#8$"0)>PJmId\!#97$$"0t&Rg*))>A"!#9$"0mS+3/V&\!#97$$"01PI:))[A"!#9$"0\*)*\7m\\!#97$$"0RycM(yF7!#9$"0.$e:!3M%\!#97$$"0V'GF2H\7!#9$"0m;=%4>][!#97$$"0Z%*)3Tzq7!#9$"0o9Ep[jo%!#97$$"08D]hfIH"!#9$"0ZC+IO>Y%!#97$$"0yb67D`J"!#9$"/,3$f]<?%!#87$$"0CZ%R@NQ8!#9$"0J7Y['p8R!#97$$"0pQx:z8O"!#9$"0>Txm&R@O!#97$$"0X!4GBL%Q"!#9$"0)e7^5hOL!#97$$"0@U%)\&G29!#9$"0.3$*Q%QlI!#97$$"0E_al&*3V"!#9$"0*y@yDv/G!#97$$"0JiC"e]a9!#9$"0;Pgu6Zc#!#97$$"0/3;l,`Z"!#9$"08!4nknqB!#97$$"0x`2\(4'\"!#9$"0PrK%>`#>#!#97$$"0uZ&p)>Ha"!#9$"0C>$[6EX=!#97$$"0kFb]M**e"!#9$"0>abqZ<c"!#97$$"0Z%*)==CN;!#9$"0==$*zD*Q8!#97$$"0v\**>&Qw;!#9$"0fQ_x*>r6!#97$$"0\(\f'3`s"!#9$"0"zJN[615!#97$$"0=NqC`nw"!#9$"0(>>&)f2)*))!#:7$$"0iC\:j\"=!#9$"0>]WE&Qix!#:7$$"0JhA4Pw&=!#9$"0;=kj:a"p!#:7$$"0([(\;dW!>!#9$"0Ax'>DtCh!#:7$$"/4=Y4/\>!#8$"06FB$yQ#[&!#:7$$"0iBZWfb*>!#9$"0#4\-)4m!\!#:7$$"0X*)y%zFQ?!#9$"0_A8^0&[W!#:7$$"07BYibV3#!#9$"0aJjT1x,%!#:7$$"0Fa3Q<A8#!#9$"0(HFI(Q'GO!#:7$$"0w^.=")Q<#!#9$"0f^[R,4L$!#:7$$"08E_Az)=A!#9$"/U$*3cwXI!#97$$"0AV'3mOlA!#9$"09od*fC&y#!#:7$$"/'>RWX3J#!#8$"0o"3!p&4fD!#:7$$"0kFbb[[N#!#9$"/&QpP+OO#!#97$$"0AV'3lq.C!#9$"0RZ-Li(p@!#:7$$"0"Gc_vgZC!#9$"02"3;zr8?!#:7$$"0>PuG"[%\#!#9$"0)=X#\(fj=!#:7$$"/-/ee&p`#!#8$"0E/>:,0u"!#:7$$"0d8Fy"R$e#!#9$"0(RROZJ=;!#:7$$"0(\**oV3FE!#9$"/%)4%z=Q^"!#97$$"0`06rbFn#!#9$"/[hF'4UT"!#97$$"/*zfz2ur#!#8$"0Y^V[(GD8!#:7$$"0_.2RaTw#!#9$"0%[S.3=S7!#:7$$"0%pQ<p<4G!#9$"0c,c8:^;"!#:7$$"0MoO&*=_&G!#9$"0-r%H!>Y4"!#:7$$"0AV'Q(z3!H!#9$"0-[yNI.."!#:7$$"0X*)yDPG%H!#9$"0v$yIF6d(*!#;7$$"0D\)4`#4*H!#9$"0hA'3b^y"*!#;7$$"0#RyOe$R.$!#9$"0"p)3/3**p)!#;7$$"0['HHSzzI!#9$"0r**GosiA)!#;7$$"0_/4<'oBJ!#9$"0o5p^;_!y!#;7$$"0$oO`FUsJ!#9$"0"3y)4.8P(!#;7$$"0d8F0DY@$!#9$"0M_V!=l@q!#;7$$"0v\*R]_iK!#9$"0vFp?\:l'!#;7$$"0Y"Hy1=1L!#9$"09#)RUapL'!#;7$$"/%ze3LRN$!#8$"0hmA1Kb,'!#;7$$"0%*)yP`8&R$!#9$"0n.QWNdv&!#;7$$"0LmK*)f?W$!#9$"0jP8Nc!ya!#;7$$"0V'G(p'Q([$!#9$"/0C?)3oA&!#:7$$"0,-/*QoKN!#9$"0H"e5P3"*\!#;7$$"0e;LW9yd$!#9$"0%[RI3LqZ!#;7$$"0:Igxq6i$!#9$"0.!\P``qX!#;7$$"/&**)>,/oO!#8$"0d)=G)*3nV!#;7$$"0LlI+5Fr$!#9$"/B.S-W%=%!#:7$$"0He;&HsfP!#9$"/N`LA?.S!#:7$$"0yb6*4G-Q!#9$"0t+7b"=[Q!#;7$$"0ze<f:$\Q!#9$"07zzS`ho$!#;7$$"0LlIamV*Q!#9$"0%4%>$>\RN!#;7$$"0[&4RyIRR!#9$"0r>L;S4S$!#;7$$"0$\)p>\i)R!#9$"02AJ7ORE$!#;7$$"0Gc7!R[HS!#9$"0ySv3oU9$!#;7$$"0"=O_@wtS!#9$"0ZJ#[WxFI!#;7$$"029Gg]E7%!#9$"0)y@/>#e!H!#;7$$"0E^-4:p;%!#9$"0#yB")y0,G!#;7$$"0D\)>Q=7U!#9$"0J&z,H7*p#!#;7$$"004=&4AeU!#9$"0<JDVE0g#!#;7$$"07BY.Q0I%!#9$"00Sf*p89D!#;7$$"0'GdumkXV!#9$"0K05&zDEC!#;7$$"07BY%>T!R%!#9$"0O,&=_4VB!#;7$$"0AW)ooHQW!#9$"0T:kLO$eA!#;7$$"/05SKb![%!#8$"01]0LRp=#!#;7$$"0^-0K3$HX!#9$"0:]\Q"H3@!#;7$$"0a3<-1Ld%!#9$"0fO?&ebS?!#;7$$"0V'GZ%Roh%!#9$"0hJh,!Rw>!#;7$$"08D]'=ljY!#9$"/sEdwQ5>!#:7$$"0AV'[Ol5Z!#9$"0)z7;52Z=!#;7$$"0c6BJ=Mv%!#9$"0%)3d.%*=z"!#;7$$"0kFb[K))z%!#9$"0efpA,dt"!#;7$$"*G_J%[!")$"0)\y(QEJo"!#;7$$"0(Qx/a>"*[!#9$"0s$yKw_G;!#;7$$"0jD^1mF$\!#9$"0X")He">$e"!#;7$$"0D\)z9^!)\!#9$"0*og6B>L:!#;7$$"0u[(zYRD]!#9$"0a`_"*3")["!#;7$$"0U%)oNW)p]!#9$"0Nv1J,_W"!#;7$$"0NqSRHV6&!#9$"00l6K4RS"!#;7$$"0lIhJ,(f^!#9$"0DY0=7MO"!#;7$$"04<Mz%z2_!#9$"0i!*oZ#=A8!#;7$$"028E!=*=D&!#9$"02Bv**QeG"!#;7$$"03:I@@aH&!#9$"0z7iZo7D"!#;7$$"0mJjV`>M&!#9$"0m%QZ2o:7!#;7$$"0LlIO%Q)Q&!#9$"0ewrR8:="!#;7$$"0V&3x)e+V&!#9$"0l$QOk$>:"!#;7$$"06@UMD%za!#9$"0vPbXt"=6!#;7$$"0PtY"Ht?b!#9$"0r1JWO44"!#;7$$"0X!4en/pb!#9$"0z#4Y')>g5!#;7$$"0.17kd^h&!#9$"0N#G,y$>."!#;7$$"0$pQn"Hjl&!#9$"0(zO3Hb25!#;7$$"0'Gda3j-d!#9$"0cA%)R^/")*!#<7$$"0)pRf%R#\d!#9$"0V^ft*)Hb*!#<7$$"0He;aEcz&!#9$"/'om6!o0$*!#;7$$"0Pu[IL'Qe!#9$"0cg]=7S3*!#<7$$"0oNrJkJ)e!#9$"0s,p,%*='))!#<7$$"0f=PN=#Hf!#9$"0v"*ou!yR')!#<7$$"06AWpC^(f!#9$"0th`E`dU)!#<7$$"0@U%3]MAg!#9$"0Qx!o'eH@)!#<7$$"0nLnoOR1'!#9$"0.N)[<YJ!)!#<7$$"0kFb1f26'!#9$"/-x&*4_Ly!#;7$$"0a2:qtx:'!#9$"0L]n6)HTw!#<7$$"0Pu[,"3.i!#9$"0Vb8w'*>Y(!#<7$$"0lHfRCUC'!#9$"0dBx*3./t!#<7$$"0Rxa&y9$H'!#9$"0D=pwx>7(!#<7$$"03:IW#fMj!#9$"0tb'en[sp!#<7$$"0_/4N-GQ'!#9$"0Xi#y0%Q!o!#<7$$"0@T#)GwaU'!#9$"0"pe"=%4fm!#<7$$"0xa4O'Hsk!#9$"0Z5og&*\]'!#<7$$"/3;U,)o^'!#8$"0bmt')pEO'!#<7$$"0_.2k)Rjl!#9$"0'=kpOe=i!#<7$$"0NpQ9<hg'!#9$"0vgME&4!4'!#<7$$"0-.1#[>_m!#9$"0(y'pnha&f!#<7$$"0<Modc+q'!#9$"0_=CI1)>e!#<7$$"0mJjP?<u'!#9$"0$=&zkp]q&!#<7$$"0.17U=ny'!#9$"/&H$f3`%e&!#;7$$"07BY!e?Lo!#9$"0RQaGgNY&!#<7$$"/&**)RYoyo!#8$"0>BLl)e[`!#<7$$"0a2:v(oAp!#9$"0"4X#48/C&!#<7$$"07BYqX:(p!#9$"0[!zD(4P7&!#<7$$"0rU&[nW:q!#9$"0yLsS)z@]!#<7$$"04<M[?B1(!#9$"0w)z7?'f"\!#<7$$"/,-a]z/r!#8$"0d%>?RiA[!#<7$$"0Z$py4B^r!#9$"/jfqtFBZ!#;7$$"0)[(\cB\>(!#9$"0464z(GKY!#<7$$"0V&32\fSs!#9$"//b1*p'RX!#;7$$"/)f>*pC&G(!#8$"0:))*)\,:X%!#<7$$"0U$o'e$*>L(!#9$"0&)\yaP;O%!#<7$$"0$oO8h,xt!#9$"0)yZ$>qtF%!#<7$$"0C['\"eIU(!#9$"0_)[)[MM>%!#<7$$"07BY$*=(ou!#9$"0V;e5eB6%!#<7$$"0NpQXw1^(!#9$"0i+$*f(pRS!#<7$$"0:He]k(ev!#9$"/>p`">&eR!#;7$$"0#QwK]x,w!#9$"/([.T_x)Q!#;7$$"0Qw_ALwk(!#9$"0'4=>P:9Q!#<7$$"0U%)oOD:p(!#9$"0zghEZau$!#<7$$"0tY$\>ESx!#9$"0y!f7^3rO!#<7$$"0Z$p[UY#y(!#9$"0h=YY"G3O!#<7$$"0lHfBk.$y!#9$"0'[y^#H(QN!#<7$$"0OrU()>S(y!#9$"0O'R?X*oZ$!#<7$$"/$f=Gs<#z!#8$"0u&32@!4T$!#<7$$"0%)oP`uH'z!#9$"0\%pvDIbL!#<7$$"0BY#*3**)4!)!#9$"0"z:X([MH$!#<7$$"0LmK*eAb!)!#9$"0a^diT^B$!#<7$$"0">Q'3B05)!#9$"0NK\hW#yJ!#<7$$"0['HROlX")!#9$"0v#pH4)G7$!#<7$$"005?(*4!*=)!#9$"0,*z_E!42$!#<7$$"/%zeJzeB)!#8$"0hZIy1g,$!#<7$$"0BX!*>\0G)!#9$"0J#HrC!\'H!#<7$$"0>Qw9ivK)!#9$"0U(oU8O7H!#<7$$"0oNr=?,P)!#9$"0LL5&z'e'G!#<7$$"0pQxyarT)!#9$"0u;'*4Kc"G!#<7$$"0BX!Rd?i%)!#9$"0%RL&e8'oF!#<7$$"0Qv].Zr])!#9$"/AuY.vAF!#;7$$"0$['HR)3a&)!#9$"0@Gt&[#fn#!#<7$$"0=Os4Btf)!#9$"0[yr?XPj#!#<7$$"0rT$[8gT')!#9$"0p">CVY"f#!#<7$$"0(Rz)z*[!p)!#9$"0/VuHHea#!#<7$$"0;JiGaZt)!#9$"0@w"3KV0D!#<7$$"0:He,B+y)!#9$"0s)4vD+lC!#<7$$"0&*)yZ,1E))!#9$"09G!\dxCC!#<7$$"0-.1Bx$o))!#9$"0y>!=.d)Q#!#<7$$"0x_0(e[8*)!#9$"0A@EGo2N#!#<7$$"0-.19^#e*)!#9$"03&yC4/9B!#<7$$"07C[1Oh+*!#9$"0F)=_')fvA!#<7$$"//3OCR[!*!#8$"0DEgD"QUA!#<7$$"0T#[;v9(4*!#9$"0ewZ2c[?#!#<7$$"0W)o<_9T"*!#9$"0B@M**4<<#!#<7$$"0LmKkyY=*!#9$"/"QjHm&R@!#;7$$"0.051"\J#*!#9$"0_z4X2d5#!#<7$$"07BY%G\y#*!#9$"0Y3tmGC2#!#<7$$"0Y"H3vD@$*!#9$"0xS$)>eF/#!#<7$$"0a2:ormO*!#9$"0j]#y!o=,#!#<7$$"/*zfZ"*4T*!#8$"0:Q5h@B)>!#<7$$"0x`2gM!f%*!#9$"0\2yhW4&>!#<7$$"0`06E01]*!#9$"0J!Ht%GV#>!#<7$$"0:Hen]$[&*!#9$"0ED4[aV*=!#<7$$"0kGd(QB$f*!#9$"0N/b*Qum=!#<7$$"0KkGb$oP'*!#9$"._"=x#*R=!#:7$$"0D]+fo@o*!#9$"/w]bLg8=!#;7$$"0b5@^Svs*!#9$"0nfGGqsy"!#<7$$"0)pR*)Rjv(*!#9$"08L*\F"*f<!#<7$$"0'Hf)*4t>)*!#9$"0-%*eO=`t"!#<7$$"0)\**3/Ej)*!#9$"0,%*)="*[6<!#<7$$"0c6Bj#z4**!#9$"0<)R'H(\'o"!#<7$$"0BX!fNAc**!#9$"03"yaP/i;!#<7$$"$+"!""$"0^K'=/UR;!#<-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$"#5!""$"$+"!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$S$!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%]N!""-%.BOUNDS_HEIGHTG6#$"%!\$!""-%)CHILDRENG6"

Figura 5.3

Um gr\303\241fico da fun\303\247\303\243o 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

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response. To include the plot option, insert the corresponding task template. For information on creating questions, making assignments, and exporting Maple T.A. course modules, see Overview of Maple T.A. Integration.

<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>

Algorithmic variables can be used to create a question that contains randomly generated parameters. You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions. To reference an algorithmic variable, include "`$variable`" as text or 2-D Math, for example, x := `$myvariable`. Adding algorithmic variables to the question is optional. In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique.

with(RandomTools): randomize(): nn1 := Generate(integer(range=1..6)): nn2 := Generate(integer(range=1..6)): if (nn1 > nn2) then nn := nn1: nn1 := nn2; nn2 := nn; fi: nx := x^nn2: n_fn1 := sort(Generate(polynom(integer(range=1..20),x,degree=nn1)),x): d_fn1 := sort(Generate(polynom(integer(range=1..20),x,degree=nn2)),x): fn1 := Limit(n_fn1/d_fn1,x=infinity);

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLCZJInhHRiciIzciIz0iIiJGLiwqKiRGKyIiJCIiKiokRisiIiMiIzZGKyIiKCIiJUYuISIiL0YrSSlpbmZpbml0eUdGJQ==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 5.1</Text-field>

The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component. In the following text region, enter the full contents of the question.

Calcule: `$fn1`.

Se o limite \303\251 indefinido, entre com a sua resposta como dne. Se o limite \303\251 infinito, entre com a sua resposta como infinity.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>

To evaluate a student's response, enter the correct answer. Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=value(fn1);

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$RESPONSE` is automatically initialized to the student's response. Using `$ANSWER` (the correct answer) and `$RESPONSE` (the student response), one example of evaluating to a Boolean value is, evalb(`$ANSWER`-`$RESPONSE`=0); Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region.

evalb(`$ANSWER`-`$RESPONSE`=0);

<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>

A question can offer hints to students when requested. Hints can contain text, 2-D Math, and algorithmic variables. Adding hints to the question is optional. Enter your hints in the following table. You can provide up to three hints.

Divide the numerator and denominator by `$nx`.

Replace this text with hint 2.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Divide the numerator and denominator by </mtext><mtext></mtext><mrow><mrow><msup><mi>x</mi><mn>3</mn></msup></mrow></mrow><mtext></mtext><mtext>.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>

A question can display feedback when a student provides an incorrect response. The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional. In the following text region, enter feedback to an incorrect response.

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea0`, `value`); ANSWER := value(fn1); if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mn>0</mn></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mn>0</mn></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Fun\303\247\303\265es Peri\303\263dicas</Text-field>

As fun\303\247\303\265es 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 e 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 s\303\243o peri\303\263dicas com per\303\255odoLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbW5HRiQ2JFEiMkYnRi9GKy1JI21pR0YkNiVRJyYjOTYwO0YnLyUnaXRhbGljR0Y0Ri9GLw==. Isto significa que qualquer valor entre -1 e 1 (inclusive) \303\251 obtido para valores arbitrariamente altos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy. Portanto, seus limites no infinito n\303\243o existem (n.e), e escrevemos:

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 = n.e. 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 = n.e.

Figura 5.4 sugere que este poderia ser o caso.

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

-%%PLOTG6'-%'CURVESG6%7hel7$$""!!""$""!!""7$$"0T"Gc7S98!#:$"0>IR")>1J"!#:7$$"0"Gc7D!)GE!#:$"0lCkFH')f#!#:7$$"0%ze<gXsP!#:$"0pjP`6Oo$!#:7$$"028E_4h"\!#:$"0oQ*HnY?Z!#:7$$")vE-i!")$"0Z'QDp>7e!#:7$$"0$pQxaU)[(!#:$"0hBo39z!o!#:7$$"0iBZ%*3Jy)!#:$"03DSk:mp(!#:7$$"0.17Czx+"!#9$"0yd-B'[c%)!#:7$$"0%)oPD&[l7!#9$"0QBJ$\`P&*!#:7$$"0iC\[[\Q"!#9$"0>5zR*zF)*!#:7$$"//3;<T/:!#8$"02g"3N(z(**!#:7$$"0v],.O``"!#9$"0&*)e&\8P***!#:7$$"06@UMgic"!#9$"0%o[Cr*)****!#:7$$"0Y"HeY=(f"!#9$"0/R=[=l***!#:7$$"0"=Os*3"G;!#9$"0jG%)z!e$)**!#:7$$"0^-0gd**o"!#9$"0;kT#p3H**!#:7$$"0AV'Gi!=v"!#9$"0U)4))QiO)*!#:7$$"/-/3Ttz=!#8$"0Amcrql_*!#:7$$"0>Pu)>m2?!#9$"0G#*obA31*!#:7$$"0%yc8spiA!#9$"0Ls@PY.q(!#:7$$"0c7DvkQR#!#9$"0Hj]KX(*z'!#:7$$"0Hd9HK]_#!#9$"0_mv"GK#y&!#:7$$"0yb6tk0k#!#9$"0R?'>PF.[!#:7$$"0Fa3<(4cF!#9$"0P4D.$=gP!#:7$$"0&3<M$fh)G!#9$"0`nB#pkED!#:7$$"0W([(\@i,$!#9$"04$3])H/D"!#:7$$"0rU&3x"o9$!#9$!0=3z<J]A&!#<7$$"0*zf>RTxK!#9$!0sv5fSSN"!#:7$$"/#RycnKS$!#8$!089)3"))pe#!#:7$$"//3;77HN!#8$!0(Q69S,zP!#:7$$"0RycQ3Mk$!#9$!03>C-#=5[!#:7$$"0Qw_b&pdP!#9$!0^5,#**eyd!#:7$$"/,-aSf$*Q!#8$!00eF'z,Jo!#:7$$"0#Qw_D\HS!#9$!0lW<1#[dx!#:7$$"0`18ES(fU!#9$!02SbV=H**)!#:7$$"0b5@ncOR%!#9$!0@6nGMj\*!#:7$$"0d9H3tv_%!#9$!0KX**)4qH)*!#:7$$"0jE.WUoe%!#9$!0()*3$z$H@**!#:7$$"0pQxz6hk%!#9$!/$>RrW!y**!#97$$"0sWkZYdn%!#9$!0.YcQ(G$***!#:7$$"0v]^:"Q0Z!#9$!0NKHXa(****!#:7$$"0ycQ$e,NZ!#9$!0oBnBSu***!#:7$$"0"Gc70lkZ!#9$!/)[#pnM')**!#97$$"/05qiq%*[!#8$!/yL#)=EM)*!#97$$"0>Qw-iZ-&!#9$!0jOaqpg^*!#:7$$"0-05q\CF&!#9$!0tg\bGAZ)!#:7$$"/,-/e)3`&!#8$!/T^sZ>Lo!#97$$"029GJ[&\c!#9$!/DRkkz?f!#97$$"0/3;#3@od!#9$!0)RaQk7D\!#:7$$"0X!4oV?'*e!#9$!0R0#*HVRx$!#:7$$"0'Gd9z>Cg!#9$!/$4iY=5c#!#97$$"0=PuBZr:'!#9$!0QISOYqD"!#:7$$"0^,.c'4!H'!#9$"0*QB-")>6p!#<7$$"0U$oO$HeS'!#9$"0Gz5,oLA"!#:7$$"0LlI6i:_'!#9$"0T7*QkDhB!#:7$$"/3;#oclk'!#8$"0b=V%[FaN!#:7$$"0Gc7D^:x'!#9$"0s2EzM=p%!#:7$$"/$f=(Go+p!#8$"0OM>lm**y&!#:7$$"0JiC\9)Hq!#9$"/mmX]o"z'!#97$$"0E_/fWh:(!#9$"0Np!>"QBm(!#:7$$"0@U%)ouCG(!#9$"0Q_VBo3T)!#:7$$"0*zf>k$p_(!#9$"0Ak)**o&*p%*!#:7$$"0:Ig&Hliw!#9$"0r]tNCv")*!#:7$$"0JiC\p$)z(!#9$"0OGNVSX)**!#:7$$"0f<&Gj&)Gy!#9$"0>t6wVo***!#:7$$"0'GdkJMfy!#9$"0_#Hqi&)****!#:7$$"09G1+I)*)y!#9$"08N6;vN***!#:7$$"0U$oOoJ?z!#9$".37F1!y**!#87$$"0(Rz30H")z!#9$"0&**yW;2>**!#:7$$"0_/4=kA/)!#9$"0t^'H9FB)*!#:7$$"(pC<)!"'$"0$\8g:5(\*!#:7$$"0[&4>Qn-$)!#9$"0XZ`'=:5!*!#:7$$"0*)ydlV'Q&)!#9$"0U+aKGju(!#:7$$"09FaLKwm)!#9$"/p.zo\oo!#97$$"0Qv],@mz)!#9$"0r"*e>Xl(e!#:7$$"0^,.J*)z"*)!#9$"0/s!o/s`[!#:7$$"0kFbgd$R!*!#9$"0p[8)o[fP!#:7$$"0iBZWAi;*!#9$"0aqN\Vob#!#:7$$"/'>RG(3$H*!#8$"0yvGn.JJ"!#:7$$"02:I&37<%*!#9$"/A;IH.dw!#;7$$"0b5@Ua6a*!#9$!0kox[R6;"!#:7$$"/17ug+r'*!#8$!0>6<!eZPC!#:7$$"0lIhsd3!)*!#9$!0U?FXqFn$!#:7$$"0E^-I?f#**!#9$!0)f%yAxU![!#:7$$"0>PuG)405!#8$!0b3Z))R2'e!#:7$$"/)f>u()y,"!#7$!0Z<O_Dj%o!#:7$$"0T#['>x1."!#8$!0zNxFy+s(!#:7$$"0BY#*HWg0"!#8$!0$Qh`q9o!*!#:7$$"0_.d;*pn5!#8$!0'>'\@.o\*!#:7$$"/3;KSNz5!#7$!0x))=k/mz*!#:7$$"0Lm#GH.'3"!#8$!0V%yhKo3**!#:7$$"0'=PC=r#4"!#8$!0p)=**zdw**!#:7$$"0iCCF^g4"!#8$!0#R`jS&Q***!#:7$$"0Rx/s!R*4"!#8$!02yT5')*****!#:7$$"0:I&o,t-6!#8$!01eLGn\***!#:7$$"0"He;'pg5"!#8$!0C*\(>.)y**!#:7$$"0)e<&)p,=6!#8$!0US![c5I)*!#:7$$"0%)oPNk*H6!#8$!0ij?Pg7a*!#:7$$"0$pQF6Wb6!#8$!0fzp9B(y%)!#:7$$"0sW*)QLw;"!#8$!0TS5i[4x(!#:7$$"0^-0lD)z6!#8$!0tyY+,y%p!#:7$$"0Qv+fjL>"!#8$!0XO+wAN"f!#:7$$"0C['H:!p?"!#8$!0%=kx$H5x%!#:7$$"0*yd!RC'=7!#8$!/i7i8Q5P!#97$$"0a2:DZ.B"!#8$!/yoC;!))f#!#97$$"0f<N!GlV7!#8$!0k4`[!y%H"!#:7$$"0kFbNepD"!#8$"0"=N*QNH@$!#<7$$"0nL<#\3p7!#8$"0QDb(QdT7!#:7$$"/(Rz[67G"!#7$"0-^$oHyKC!#:7$$"0,.c/wWH"!#8$"0L`8#pC%p$!#:7$$"0LmKgSxI"!#8$"0)Gu1k!3*[!#:7$$"0@TKn&=>8!#8$"0j^gF9\&e!#:7$$"03;KuI1L"!#8$"0K`@_7Cu'!#:7$$"0_.2%**pc8!#8$"0vxcc0"=%)!#:7$$"0Y#\)\")=Q"!#8$"0)4C#[Dv\*!#:7$$"0oN@0kWR"!#8$"09&3['R_")*!#:7$$"0*)ydgYqS"!#8$"0RJp?jx(**!#:7$$"0_`>n!=59!#8$"0a4]#*[P***!#:7$$"09G"QZJ89!#8$"0#4!e@>*****!#:7$$"0w-V!)[kT"!#8$"/K6>!oi***!#97$$"0Rx/(Ge>9!#8$"/O*4#*)z#)**!#97$$"0jEG+^eU"!#8$"0WU_cpk#**!#:7$$"0)e<N">@V"!#8$"0(HA"R_6$)*!#:7$$"0lH4ciTW"!#8$"02W1r$4S&*!#:7$$"0U$o')f?c9!#8$"0Y()pwG36*!#:7$$"0Gb5^WA["!#8$"0X9'o-VUx!#:7$$"0nM>"Gl%\"!#8$"0)>sE)4'**o!#:7$$"029G6hq]"!#8$"0X1!H^p]f!#:7$$".,_E?,_"!#6$"0*e6e`Z`[!#:7$$"0%ze<%zJ`"!#8$"0AMhF,On$!#:7$$"08E_4,]a"!#8$"0<mq_65b#!#:7$$"0KkGxAob"!#8$"0*odlB"GR"!#:7$$"0\)pRz))p:!#8$"0xJg.YP3*!#<7$$"0mKl5`He"!#8$!/\,Beo77!#97$$"0Pt'fsY&f"!#8$!0)o%G`U@W#!#:7$$"029GT")zg"!#8$!0f&f">/Mj$!#:7$$"0ybh5l/i"!#8$!0$fJ&zh^w%!#:7$$"0\(\*z[Hj"!#8$!0(>UrUvAe!#:7$$"0*ydl!))fk"!#8$!0bj^P//$o!#:7$$"0He;LF!f;!#8$!/mk7n3Ax!#97$$"004=hYIo"!#8$!0Q2op!)=,*!#:7$$"0.0g7Y`p"!#8$!0v_NBabZ*!#:7$$".,-kXwq"!#6$!0;)4]S1'z*!#:7$$"0#Qw-dV9<!#8$!0o&RIc")4**!#:7$$"0jE`wD7s"!#8$!0B0rg&*y(**!#:7$$"0/3mz?Ys"!#8$!0>h^U-Z***!#:7$$"0X*)y#e,G<!#8$!0$[T=-******!#:7$$"0&3<f3TJ<!#8$!0^:E*Gv$***!#:7$$"0E_/*e![t"!#8$!0^ijj(*f(**!#:7$$"0.29e,ru"!#8$!0^@$*Gcd")*!#:7$$"0"=OssRf<!#8$!0wV[E.t]*!#:7$$"0"Hemla%y"!#8$!0@:E9RnV)!#:7$$"0.05vA,"=!#8$!0iccDZT!o!#:7$$"0;Ji\x=#=!#8$!0"odZhv(*e!#:7$$"0Hd9CKO$=!#8$!0ztK:n*4\!#:7$$"06@#>C;Y=!#8$!0$**H5ku#y$!#:7$$"0#\)pf#pe=!#8$!0w4&)=7if#!#:7$$"06@URF6(=!#8$!0cA*zpTy8!#:7$$"0Hd9>iN)=!#8$!09#Q2cN$R"!#;7$$"0['HfN'o*=!#8$"0#[jlW)z="!#:7$$"0oNr#\;5>!#8$"0G*Q$)oJ%\#!#:7$$"/-/3G!>#>!#7$"0;f)3EB6O!#:7$$"0sW*)oSO$>!#8$"08+#[1XyY!#:7$$"0<Mow$=Z>!#8$"0T9&4r!*Ge!#:7$$"0iBZ%osg>!#8$"0(30/ghso!#:7$$"0'>RG%[H(>!#8$"0&HIHB$pq(!#:7$$"/.17+<&)>!#7$"0H/DlviU)!#:7$$"0Y#\[_N4?!#8$"0uem6X2Z*!#:7$$"0KkypeB-#!#8$".t(44/2)*!#87$$"0=Os9i`.#!#8$"0)>iyKux**!#:7$$"0W()*fhiQ?!#8$"0'[=,(*=%***!#:7$$"0pQF<!*=/#!#8$"0wY*z%*)*****!#:7$$"0&**[&=a^/#!#8$"0)**\Ok8&***!#:7$$"0@T#)>=%[?!#8$"0&3rSdjz**!#:7$$"0sVPAY\0#!#8$"0l8ywon"**!#:7$$"0BY#\UZh?!#8$"0tnWPc;")*!#:7$$"0W([ALNt?!#8$"/P8!p$e8&*!#97$$"0kGdRK_3#!#8$"0c1XN?93*!#:7$$"/)f>\i/6#!#7$"0^jZ.!z[x!#:7$$"/*zfatF7#!#7$"0O^Yw8R"p!#:7$$")Y3N@!"'$"08'[#3"Quf!#:7$$"0>PC"*H%[@!#8$"0"[rS?Da[!#:7$$"0Pu[Av<;#!#8$"06'>#G)zZO!#:7$$"0kF0jAL<#!#8$"0M8%35s]D!#:7$$"/4=O+([=#!#7$"0m1-ap'>9!#:7$$"0">Q^E8)>#!#8$"0**=JQ.>#)*!#<7$$"0"Hem_R6A!#8$!/;g%ec\A"!#97$$"0b5@#G'QA#!#8$!0vCut6'\C!#:7$$"0>QwPIjB#!#8$!0W6kVRij$!#:7$$"0)e<5vn[A!#8$!0`>$=)Gev%!#:7$$"0d8FkC5E#!#8$!0epP&o+.e!#:7$$"0W([(f"QtA!#8$!0.JN,`Dw'!#:7$$"0JhAbQdG#!#8$!0UN$\,(*=w!#:7$$"09Gc<X4J#!#8$!0oLcs)f$**)!#:7$$"0Pu[Z/VK#!#8$!02n"*=3e\*!#:7$$"/17uPmPB!#7$!0CI6.(zG)*!#:7$$"0;J(e$)yVB!#8$!0w\VgUJ#**!#:7$$"0rTL%H"*\B!#8$!0&o*3dx-)**!#:7$$"0)pkN_(HN#!#8$!09)eZ'=[***!#:7$$"0E_z_PgN#!#8$!07I9o()*****!#:7$$"0ad-#)*4fB!#8$!0xqa#)zd***!#:7$$"0"Gc7@;iB!#8$!/^PD!*>#)**!#97$$"0E_ah`UP#!#8$!0>y7pwt$)*!#:7$$"0rT$=^M'Q#!#8$!0U?!*o-*[&*!#:7$$"0f<NN'>7C!#8$!0A)RJ@Xs%)!#:7$$"029GJ"*zV#!#8$!0^R0@`q$o!#:7$$"0a3ncn&\C!#8$!0@D(H<R[f!#:7$$"0-.1#Q9hC!#8$!00dy.0,)\!#:7$$"/29Gn&[Z#!#7$!0dNOCMzu$!#:7$$"0Rycjp&)[#!#8$!0%zpGiRXC!#:7$$"0-/3'R/+D!#8$!09uf'*f">8!#:7$$"0lHfG=:^#!#8$!/Y*QsYdv"!#:7$$"0&**)zzQ\_#!#8$"0HV51CQ;"!#:7$$"0D]+Jf$QD!#8$"0U$R&e#H#[#!#:7$$"0Z$p))y;^D!#8$"01$[5qL*p$!#:7$$"0oOtYwRc#!#8$"0<%*y:td&[!#:7$$"0$pQ-ITvD!#8$"01=H5\;#e!#:7$$"0>Pu`\oe#!#8$"0'yHLTY6n!#:7$$"0#\)ppsDh#!#8$"0MXh&\gw$)!#:7$$"0mJjOm%QE!#8$"0#e%*>0*e\*!#:7$$"/)fpm^8l#!#7$"/@7/H+?)*!#97$$"0%zenpBkE!#8$"0J]YG)H")**!#:7$$"0$oO[NAnE!#8$"0Y(\,85&***!#:7$$"0tX"H,@qE!#8$"0eHdo*)*****!#:7$$"0iC*4n>tE!#8$"0$fRx!ff***!#:7$$"0_.2H$=wE!#8$"0x'RrI,$)**!#:7$$"0JhAXc@o#!#8$"0^GR**G/$**!#:7$$"/">QhH")o#!#7$"/o[5]UU)*!#97$$"0CZ%R$*\+F!#8$"0"eXqC0\&*!#:7$$"0Qv]1pGr#!#8$"0$\Gzfv4"*!#:7$$"0xa4ka%QF!#8$"0Mzxiz$px!#:7$$"0JhAS17v#!#8$"0sD*\%\c!p!#:7$$"0%ycj"eRw#!#8$"0Fm#p.yHf!#:7$$"0Jiu"\2xF!#8$"0>Q[G$oD[!#:7$$"0yc8n">!z#!#8$"0)R!)e'z'QO!#:7$$"0jE`"\u,G!#8$"/LdEuoSD!#97$$"0['Hf")H8G!#8$"0&4&=X?)39!#:7$$"09GcP/j#G!#8$"0CGvh))*G6!#;7$$"/)f>f5$RG!#7$!01cN&)H\="!#:7$$"0LlI@qB&G!#8$!0z')*yz"zY#!#:7$$"0&3<M)Ha'G!#8$!0`2)QY()3P!#:7$$"0(\**)>:!yG!#8$!0#=j_EBX[!#:7$$"/">Qc+1*G!#7$!0tBzeZ\!f!#:7$$"0*)y2GH?!H!#8$!0%[dJRw'y'!#:7$$"0pQx*zX8H!#8$!0i_f,J+e(!#:7$$"0W([(pP1%H!#8$!0HRk1?G0*!#:7$$"0d9H3]@&H!#8$!0L;<([(3[*!#:7$$"0rT$oCmjH!#8$!/%4Qg8My*!#97$$"0">)))Ge.(H!#8$!0f'>I*))***)*!#:7$$"06A%4T0xH!#8$!0tpV@&>s**!#:7$$"0@#p>?S!)H!#8$!0m8X-^:***!#:7$$"0Ji*H*\P)H!#8$!0R:v%)3(****!#:7$$"0TK-%y4()H!#8$!0UI0afm***!#:7$$"0^-0vX/*H!#8$!0Cc5_1C)**!#:7$$"0#\)>i*H-I!#8$!0Bp^*\BU)*!#:7$$"0MnM\`T,$!#8$!06pu)y#Rc*!#:7$$"0([(\kk,/$!#8$!/$>x!\+"\)!#97$$"0AV'G!\D0$!#8$!.[BaiMx(!#87$$"0c6BTL\1$!#8$!0R[]e[o$p!#:7$$"0Jiu@by2$!#8$!0UQdrt3&f!#:7$$"018E-x24$!#8$!0EecZtc'[!#:7$$"0Y#\tKk-J!#8$!0G!o$y,sz$!#:7$$"0'=PC&4X6$!#8$!0^Mk>D`n#!#:7$$"/,-z)3t7$!#7$!0*3*>IDNU"!#:7$$"0MoOB3,9$!#8$!0somSlV["!#;7$$"0xaf;.M:$!#8$"02P*QuIy6!#:7$$"0@T#)4)pmJ!#8$"02=&y[D%[#!#:7$$"/%zePr#yJ!#7$"0%Q%)3@='e$!#:7$$"0f<NlW)*=$!#8$"0X5]LH,k%!#:7$$"09F/6WB?$!#8$"0U`o8&G3d!#:7$$"0oOtcV[@$!#8$"0pu#)ysto'!#:7$$"0)pRHnvFK!#8$"0D%oV.7*e(!#:7$$"0Hd9*)p1C$!#8$"0TB`D&\k$)!#:7$$"0Gb5"f$fE$!#8$"0$3xGJ$*o%*!#:7$$"018w**e"yK!#8$"0#*\`CR.z*!#:7$$"0&3<%3#Q!H$!#8$"07p6&fll**!#:7$$"0Ew3ay?H$!#8$"0f<f8p#y**!#:7$$"0m"e(*\x$H$!#8$"0)=Dy1,))**!#:7$$"01(Ga9Z&H$!#8$"02dYxx[***!#:7$$"0Y#*4"z;(H$!#8$"0-a)[%o))***!#:7$$"0F.W#3c+L!#8$"0cf[w;#)***!#:7$$"029yt`RI$!#8$"/hSwj0')**!#97$$"0oNYcR2J$!#8$"0C6vqys#**!#:7$$"0Hd9RDvJ$!#8$"0AyW*f!G#)*!#:7$$"/%ze7?(HL!#7$"06@0Av=_*!#:7$$"0^,.'[">M$!#8$"0Hy2c=&z!*!#:7$$"/17Ce&zO$!#7$"0"f,M4Q%p(!#:7$$"0xafJa(zL!#8$"0o*\02/*)o!#:7$$"0%*)y2Gb"R$!#8$"0Hdn=8z)f!#:7$$"0x`dn^WS$!#8$"094e)R&z!\!#:7$$"0f=Pa]tT$!#8$".XU,\ku$!#87$$"0@TKP([HM!#8$"04W`#>O'f#!#:7$$"0#Qw-UiTM!#8$"0hiemw!39!#:7$$"0U$o'o5VX$!#8$"/OgrB=T9!#:7$$"0,.1<(*pY$!#8$!0%)p,ic@7"!#:7$$"0c7v_+%zM!#8$!04ZYnzGM#!#:7$$"06AW)Q!=\$!#8$!0FL!*G0w_$!#:7$$"07B'\!*y/N!#8$!0#ph=Z`4Z!#:7$$"07C[@ux^$!#8$!/=?ug;7e!#97$$"0=OAZ!GIN!#8$!0Zrdu;=y'!#:7$$"0C['HnyUN!#8$!0;BMfLbk(!#:7$$"0Z$pQcOoN!#8$!0&>8MMdF!*!#:7$$"0Qv+>\5e$!#8$!0cGA(y<*\*!#:7$$"0Hd9uKPf$!#8$!0*=jR9<=)*!#:7$$"0$fou,c*f$!#8$!0NbxXk?"**!#:7$$"0d9zg(Q0O!#8$!/dZUmIs**!#97$$"0*)GXK,$3O!#8$!/)fgFS(*)**!#97$$"0AV6/:7h$!#8$!0(pPvMp)***!#:7$$"0adxvGTh$!#8$!0YF*R'e"****!#:7$$"0'=PuC/<O!#8$!0TE[PN6***!#:7$$"0"Hem-SIO!#8$!0&=0"omg%)*!#:7$$"0(Rze!ePk$!#8$!0um"*3vb_*!#:7$$"/*zfz_wm$!#7$!0hmW#\dM&)!#:7$$"0*zfp&HJp$!#8$!0efcodc%p!#:7$$"0yb6$=K0P!#8$!0J-D>A">g!#:7$$"0d8F49vr$!#8$!0K<O[AK+&!#:7$$"0V'GK?0JP!#8$!/rEFK&))y$!#97$$"/$f=(**eWP!#7$!/a"*[%\^]#!#97$$"0%*)yKGJcP!#8$!08YE7[cN"!#:7$$"0f=PpN!oP!#8$!0r_:k!Qv=!#;7$$"0kGdCT8y$!#8$"/f*=%*=09"!#97$$"0pQxzYYz$!#8$"09/DB9%[C!#:7$$"0sWROtn!Q!#8$"0-^+_,Lg$!#:7$$"0v],$***)=Q!#8$"0De1'eE0Z!#:7$$"029y[k@$Q!#8$"0EL'p([4$e!#:7$$"0Rxa/Ha%Q!#8$"0-9aN(=ao!#:7$$"0E_a6uo&Q!#8$"0(z'pa)*3k(!#:7$$"09Fa=>$oQ!#8$"/l))*4JwK)!#97$$"0d9HQ)Q%*Q!#8$"0<dI[JKZ*!#:7$$"0/4=;zp!R!#8$",#fTV+)*!#67$$"0_.2%*p&>R!#8$"0")o7$zZs**!#:7$$"0K9"zbrAR!#8$"0B]Cci3***!#:7$$"08Dv@he#R!#8$"0e6$4?O****!#:7$$"0$f$f&o+HR!#8$"0")3B'y'z***!#:7$$"0tYV\_@$R!#8$"0NU3]"o')**!#:7$$"0Mo6xV%QR!#8$"0ep*yl[M**!#:7$$"0&**)z/NZ%R!#8$"0C>Rw$)H%)*!#:7$$"0W)o78FdR!#8$"0v'[0"Q]a*!#:7$$"0$pQxv!)pR!#8$"0sTj&4G(4*!#:7$$"0Z%*)GW*Q*R!#8$"0eiAe)>Wy!#:7$$"//3"p8p+%!#7$"0**zYp(fsp!#:7$$"0LmK&H$*>S!#8$"0zIIHxH)f!#:7$$"0tXTDTB.%!#8$"00AdD#GX\!#:7$$"08D]b\Z/%!#8$"0&zzhVaJQ!#:7$$"017uq3y0%!#8$"0&\0$>"4'f#!#:7$$"0**)zfy'32%!#8$"09#["zEkJ"!#:7$$"0>Pu`*o#3%!#8$"/R%=Mo3Q"!#:7$$"0Qv]@6X4%!#8$!0'pqo1=U5!#:7$$"0b4>Qwv5%!#8$!0D[,x1!HB!#:7$$"0sV([:k?T!#8$!0>FddLhd$!#:7$$"0U%)=qbJ8%!#8$!0x`QDzPr%!#:7$$"08D]&)pc9%!#8$!0R_m`,xx&!#:7$$"0$oO[N:eT!#8$!0@$>lL,\n!#:7$$"0a3<CP1<%!#8$!01u!QLG:w!#:7$$"0NpQx:n>%!#8$!0`&e\C$*G!*!#:7$$"0sWRTD(3U!#8$!0Ze"z*4*y%*!#:7$$"/,-a]t?U!#7$!0h=Z0OBz*!#:7$$"04=6"[)oA%!#8$!0[!)*[MU)*)*!#:7$$"03;#oX.LU!#8$!/u<&G(3n**!#97$$"02lnW4hB%!#8$!..ho)H()**!#87$$"029`K%=RU!#8$!0Mh='z1)***!#:7$$"02jQ?fAC%!#8$!/d.J\Q****!#97$$"017C3M`C%!#8$!0"fa[$[7***!#:7$$"0pPv?9*eU!#8$!0X%f6CjU)*!#:7$$"0KjEL%\sU!#8$!0<:njxF^*!#:7$$"0'Gd9d3(H%!#8$!0))**>[ofZ)!#:7$$"0U$oh.m4V!#8$!03%3%3SNu(!#:7$$"0(Rz3]BAV!#8$!0(e1I2$)))o!#:7$$"0.055B]L%!#8$!07wO(*H"3f!#:7$$"03;K>6yM%!#8$!0:g[.U4$[!#:7$$"0@U%QfcfV!#8$!067?6l2x$!#:7$$"0MoOo?8P%!#8$!08K9(faeE!#:7$$"0;K9'3&QQ%!#8$!/QDJd$HV"!#97$$"0)f>R5Q'R%!#8$!0Q$)3`q&[=!#;7$$"0;Kk$e")3W!#8$"0(*y$3gjc5!#:7$$"0MoOj]7U%!#8$"0l#Rj>"=G#!#:7$$"0a2:+_XV%!#8$"0&\!\n')Gb$!#:7$$"0tY$pL&yW%!#8$"0wg:2%>hZ!#:7$$"0E^-D"ffW!#8$"0J"\g-Fed!#:7$$"0yb68H8Z%!#8$"0DA))G,hn'!#:7$$"0nMpG:%)\%!#8$"0)*>l%=sC%)!#:7$$"0OrUXeG_%!#8$"0Qys8u!y%*!#:7$$"0W([s5&\`%!#8$"0O/F1&[$z*!#:7$$"0_.2pVqa%!#8$"0K"y,*ee'**!#:7$$".v=7p'[X!#6$"0&o#**zhz(**!#:7$$"0[YIb%H]X!#8$"/0<_&Gu)**!#97$$"0'z@%)*>>b%!#8$"0JEulcU***!#:7$$"0X*Q:aa`X!#8$"0\I<JW%)***!#:7$$"0TKxF'zcX!#8$"01:*RX*))***!#:7$$"0Qv+9Z+c%!#8$"0=g4wy())**!#:7$$"0JhZ')[lc%!#8$"0/0P4.p$**!#:7$$"0CZ%*e]Id%!#8$"0)euBl.V)*!#:7$$"0E_/k1he%!#8$"0&Rk)))*\H&*!#:7$$"0Hd9pi"*f%!#8$"0P;'oNv`!*!#:7$$"/(Rz$3#Hi%!#7$"0X3em(4+y!#:7$$"0Gbg)e`NY!#8$"0-"\j$)z]p!#:7$$"0&3<M4:[Y!#8$"0r!4h5."*f!#:7$$"0&4>))>YgY!#8$"0tDtHkC'\!#:7$$"006A/tFn%!#8$"0N\IN!yeQ!#:7$$"0C[YN=ho%!#8$"0,()G2\pf#!#:7$$"0V&3nOY*p%!#8$"0K(o;a$*)G"!#:7$$"0pQF265r%!#8$"0jUT/kyP"!#;7$$"0'>Ry%eDs%!#8$!0KJm%y>:5!#:7$$"0'Hf$4@et%!#8$!0KN7BF=K#!#:7$$"0(Rz3P3\Z!#8$!03w!4in(e$!#:7$$"0h@VE^:w%!#8$!0-0K_r0s%!#:7$$"0D\)>)=Sx%!#8$!0&)4$*H&=!y&!#:7$$"0$pQ_fO'y%!#8$!0d"G#Ry6u'!#:7$$"0iC\38()z%!#8$!03*>$eJ&*f(!#:7$$"0OsW*pUB[!#8$!/Rx\lne*)!#97$$"0ybhIIg$[!#8$!0Z=wdHhW*!#:7$$"/#RyhL'[[!#7$!0ka$>bt$y*!#:7$$"0JiuE8`&[!#8$!0e9SF!)***)*!#:7$$"0V&3<H*>'[!#8$!0eFf**p?(**!#:7$$"0)p*=uK`'[!#8$!0hBR][9***!#:7$$"0a3ncs'o[!#8$!0,tn:$o****!#:7$$"/,_"R7?([!#7$!0'Q/qZw'***!#:7$$"0mJj@_`([!#8$!0dF()f'p#)**!#:7$$"0w_bQ,w)[!#8$!0k?lB^g$)*!#:7$$"0(Qxa0&)**[!#8$!0K&\(33?a*!#:7$$"0w_0cLS#\!#8$!0z,#4T!za)!#:7$$"/29y"fp$\!#7$!0f6C1fw!y!#:7$$"0kGdz%))\\!#8$!01D_s^r$p!#:7$$"0)oPvAyi\!#8$!0L1!fm;`f!#:7$$"07D]vzc(\!#8$!09"R]3Hq[!#:7$$"0c7v()Ry)\!#8$!0,>ct%*[x$!#:7$$"$+&!""$!0HRq`[Pi#!#:-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q+y~=~sin(x)6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7^fl7$$""!!""$"#5!""7$$"0"Gc7D!)GE!#:$"0sm19bkl*!#:7$$"028E_4h"\!#:$"0s))>eNd"))!#:7$$"0$pQxaU)[(!#:$"0o;!HMxCt!#:7$$"0iBZ%*3Jy)!#:$"0o'fR4_%Q'!#:7$$"0.17Czx+"!#9$"0"y(e<+uL&!#:7$$"0W([ZAjO6!#9$"0b!)y#=_1U!#:7$$"0%)oPD&[l7!#9$"0aKtw)*e+$!#:7$$"0iC\[[\Q"!#9$"0;O#=%)zZ=!#:7$$"//3;<T/:!#8$"/fR)G'eLm!#:7$$"0"=Os*3"G;!#9$!0^-OXF"Gd!#;7$$"0AV'Gi!=v"!#9$!0cW_nI-!=!#:7$$"/-/3Ttz=!#8$!0x[&z(o//$!#:7$$"0>Pu)>m2?!#9$!0R:ty:5B%!#:7$$"0^-0gz^8#!#9$!0@]AM[*[`!#:7$$"0%yc8spiA!#9$!0jcm#3-!Q'!#:7$$"0c7DvkQR#!#9$!0xoeHdBL(!#:7$$"0Hd9HK]_#!#9$!0RZs)=se")!#:7$$"0Fa3<(4cF!#9$!07k%eB7m#*!#:7$$"0&3<M$fh)G!#9$!0,6,-Rbn*!#:7$$"0W([(\@i,$!#9$!0t75D8:#**!#:7$$"0E^-bq)[I!#9$!01"*o%Q/d**!#:7$$"03:Ig>:3$!#9$!0"omo:'>)**!#:7$$"0*)ydloT6$!#9$!0^)Qd)Ri***!#:7$$"0rU&3x"o9$!#9$!0E9V\j)****!#:7$$"0`18wm%zJ!#9$!/G8<'GG***!#97$$"0NqS"e67K!#9$!0D!3CF9v**!#:7$$"0<Mo'[wWK!#9$!0*z%fmCo%**!#:7$$"0*zf>RTxK!#9$!0F!*fi/z!**!#:7$$"/#RycnKS$!#8$!019$\.ef'*!#:7$$"//3;77HN!#8$!0t"Qh%e%e#*!#:7$$"0Qw_b&pdP!#9$!0hTu@m8;)!#:7$$"0#Qw_D\HS!#9$!0dmSmD/J'!#:7$$"0=NqS;Y9%!#9$!0pG%*QavP&!#:7$$"0`18ES(fU!#9$!0"fXp.\tV!#:7$$"0b5@ncOR%!#9$!0p@HqHO8$!#:7$$"0d9H3tv_%!#9$!0"Hh$pbw$=!#:7$$"0pQxz6hk%!#9$!07Bf5nGi'!#;7$$"0"Gc70lkZ!#9$"09B(QXxB_!#;7$$"/05qiq%*[!#8$"0ovdT*38=!#:7$$"0>Qw-iZ-&!#9$"0F(Qzq<tI!#:7$$"0h@V'eg[^!#9$"//oYk8DU!#97$$"0-05q\CF&!#9$"0MvzUwBJ&!#:7$$"0c7Dvn;S&!#9$"0cUfs2)fj!#:7$$"/,-/e)3`&!#8$"0-FH0&>,t!#:7$$"0/3;#3@od!#9$"0c*f()G0.()!#:7$$"0'Gd9z>Cg!#9$"0K@I/)\m'*!#:7$$"0-0gds14'!#9$"0(G()QeE:)*!#:7$$"0=PuBZr:'!#9$"/r$f6x1#**!#97$$"0E`"oXQ!>'!#9$"0"R(y+rp&**!#:7$$"0Np))*=iBi!#9$"0NmeCmA)**!#:7$$"0V&eH#foD'!#9$"0nF$))[`'***!#:7$$"0^,.c'4!H'!#9$"01_Q<h(****!#:7$$"0)pRa(H!>j!#9$"0L6ecwN***!#:7$$"0Y#\[H'zM'!#9$"0m49iE!z**!#:7$$"0%zeUh*oP'!#9$"0G))*>N7c**!#:7$$"0U$oO$HeS'!#9$"/m2Lk)[#**!#97$$"0Pu[s&pjk!#9$"0&QrZ=_P)*!#:7$$"0LlI6i:_'!#9$"/CmD`A<(*!#97$$"0Gc7D^:x'!#9$"0#z7$425$))!#:7$$"0JiC\9)Hq!#9$"0-Hi&Q#)Rt!#:7$$"0E_/fWh:(!#9$"0Kp@h=cU'!#:7$$"0@U%)ouCG(!#9$"0DfWM,!4a!#:7$$"/,-abq/u!#8$"/p'[oNJM%!#97$$"0*zf>k$p_(!#9$"0cpdliC@$!#:7$$"0:Ig&Hliw!#9$"0EnD&\j,>!#:7$$"0JiC\p$)z(!#9$"0G(3d![$eb!#;7$$"0U$oOoJ?z!#9$!0>&fijlGm!#;7$$"0_/4=kA/)!#9$!0=S3r?<(=!#:7$$"(pC<)!"'$!0Qnab.88$!#:7$$"0[&4>Qn-$)!#9$!0T1NWvyL%!#:7$$"0=Pute1U)!#9$!0l!Q[_Jo`!#:7$$"0*)ydlV'Q&)!#9$!0=VjQ7TK'!#:7$$"0Qv],@mz)!#9$!0.q5h>64)!#:7$$"0kFbgd$R!*!#9$!0fTa#[Sm#*!#:7$$"0iBZWAi;*!#9$!0#)\`=.wm*!#:7$$"/'>RG(3$H*!#8$!0b7C28M"**!#:7$$"0Z$>wc4C$*!#9$!/n*))=e$\**!#97$$"0Mn%oS5b$*!#9$!0:46cPd(**!#:7$$"0@T2Y7hQ*!#9$!0*yxEe_#***!#:7$$"02:I&37<%*!#9$!0aO\%oq****!#:7$$"0%*)GX#H"[%*!#9$!0$HW6PF(***!#:7$$"0"GcPw8z%*!#9$!03<cwG_)**!#:7$$"0oO)Hg95&*!#9$!02#*ze$ej**!#:7$$"0b5@Ua6a*!#9$!0)*z"*)*eB$**!#:7$$"/17ug+r'*!#8$!0')ex1(Q)p*!#:7$$"0lIhsd3!)*!#9$!0`K;"f6,$*!#:7$$"0>PuG)405!#8$!0**zKRvD5)!#:7$$"/)f>u()y,"!#7$!0=\Xy$)))G(!#:7$$"0T#['>x1."!#8$!0rY4AIhN'!#:7$$"0KkyugL/"!#8$!06RNe:&G`!#:7$$"0BY#*HWg0"!#8$!0d(G`YH:U!#:7$$"0_.d;*pn5!#8$!0#G#zF3A8$!#:7$$"/3;KSNz5!#7$!0dc_SBm+#!#:7$$"0'=PC=r#4"!#8$!0^Zy&*e-%o!#;7$$"0"He;'pg5"!#8$"/F(R#fe2l!#:7$$"0)e<&)p,=6!#8$"0.2)Q)*[N=!#:7$$"0%)oPNk*H6!#8$"0(\LBD0%*H!#:7$$"0*ydSFqU6!#8$"0n%Hl>">=%!#:7$$"0$pQF6Wb6!#8$"0*R/'p/?I&!#:7$$"0sW*)QLw;"!#8$"0cxD)[$QH'!#:7$$"0^-0lD)z6!#8$"0Hs7FAA>(!#:7$$"0C['H:!p?"!#8$"0@&3&>u%)y)!#:7$$"0a2:DZ.B"!#8$"0&=se(3kl*!#:7$$"0c7v-+qB"!#8$"0KwiA7y!)*!#:7$$"0f<N!GlV7!#8$"007a)G#e"**!#:7$$"/,_">zpC"!#7$"0D*e8!*R`**!#:7$$"0hA&zbI]7!#8$"0$eTjG'*z**!#:7$$"08Dv'>j`7!#8$"0a"3X][&***!#:7$$"0kFbNepD"!#8$"0r(4&Q[*****!#:7$$"0:zq***)*f7!#8$"04xyVzV***!#:7$$"0lI'Q;-j7!#8$"0;[%4biz**!#:7$$"0;#=!G`gE"!#8$"0V())e,qb**!#:7$$"0nL<#\3p7!#8$"0xURPDE#**!#:7$$"0oO[?[^F"!#8$"0B!Gmu:H)*!#:7$$"/(Rz[67G"!#7$"0tF5Il&*p*!#:7$$"0LmKgSxI"!#8$"0G#[AdQA()!#:7$$"03;KuI1L"!#8$"0s"[-;6&Q(!#:7$$"/)f>MlOM"!#7$"0'3H_O5Yk!#:7$$"0_.2%**pc8!#8$"/F)H)3t(R&!#97$$"0*zf>2Hp8!#8$"0z/_+'*yH%!#:7$$"0Y#\)\")=Q"!#8$"0Hyh_<+8$!#:7$$"0oN@0kWR"!#8$"04UbW#R8>!#:7$$"0*)ydgYqS"!#8$"/**QdN9lm!#:7$$"0Rx/(Ge>9!#8$!0P#o!\7G'e!#;7$$"0)e<N">@V"!#8$!0"**fR]()H=!#:7$$"0lH4ciTW"!#8$!/"G\$yw(*H!#97$$"0U$o')f?c9!#8$!0os_IKA7%!#:7$$"0Np)[_Ap9!#8$!0Ck;0g,F&!#:7$$"0Gb5^WA["!#8$!/s;nS))Gj!#97$$"0nM>"Gl%\"!#8$!0Rm(*fl%Qs!#:7$$"029G6hq]"!#8$!0P<EMUn.)!#:7$$"0%ze<%zJ`"!#8$!02I!)z(y+$*!#:7$$"08E_4,]a"!#8$!0K&Q:P9p'*!#:7$$"0KkGxAob"!#8$!0)f`_'GD!**!#:7$$"0'Gdk!*3g:!#8$!06d=,KF%**!#:7$$"0T"Gc`Nj:!#8$!0_o*\(GB(**!#:7$$"0&**)zk@mc"!#8$!0D>RH(G"***!#:7$$"0\)pRz))p:!#8$!0iy#>ue****!#:7$$"0.29BaJd"!#8$!016<F?s***!#:7$$"0e:J_?kd"!#8$!0o@kP)=%)**!#:7$$"07C["ooz:!#8$!0Uiaj00'**!#:7$$"0mKl5`He"!#8$!0z,HJ(>E**!#:7$$"0Pt'fsY&f"!#8$!0<5R*H@(p*!#:7$$"029GT")zg"!#8$!0/<X\klJ*!#:7$$"0\(\*z[Hj"!#8$!/WW4f"*H")!#97$$"0*ydl!))fk"!#8$!/WI)e0QI(!#97$$"0He;LF!f;!#8$!0;eY,!p`j!#:7$$"0nL<(p.r;!#8$!/=Ugyv#Q&!#97$$"004=hYIo"!#8$!0-m\n#GMV!#:7$$"0.0g7Y`p"!#8$!/6K()["f>$!#97$$".,-kXwq"!#6$!0b+3%3E4?!#:7$$"0jE`wD7s"!#8$!09h^Z$HXm!#;7$$"0E_/*e![t"!#8$"0j%Q*f&QCp!#;7$$"0.29e,ru"!#8$"0n`LHS2">!#:7$$"0"=OssRf<!#8$"0%Q^j5>+J!#:7$$"0Os%>>(>x"!#8$"036]ou!oU!#:7$$"0"Hemla%y"!#8$"0O3Hkf&o`!#:7$$"0(RzeYL(z"!#8$"/h=N<o+k!#97$$"0.05vA,"=!#8$"0r"=cEFGt!#:7$$"0Hd9CKO$=!#8$"0)f_LUh6()!#:7$$"0#\)pf#pe=!#8$"0<aRF0rl*!#:7$$"06@URF6(=!#8$"/R#psUX!**!#97$$"0Hd9>iN)=!#8$"0EcHBH!****!#:7$$"04<M`()o)=!#8$"0)>_fQ8)***!#:7$$"0)oPvG@!*=!#8$"0$eCpO=')**!#:7$$"0oOt@QN*=!#8$"005`(=>j**!#:7$$"0['HfN'o*=!#8$"0xl%**Q=H**!#:7$$"03;KC9N!>!#8$"0%=y\>GG)*!#:7$$"0oNr#\;5>!#8$"00X6'R#Ro*!#:7$$"0sW*)oSO$>!#8$"0h^S(\5Q))!#:7$$"0iBZ%osg>!#8$"/P.J+5ks!#97$$"0'>RG%[H(>!#8$".>Ycj?P'!#87$$"/.17+<&)>!#7$"08)3Ry'\Q&!#:7$$"0Qw-jis*>!#8$"0&e![Xn"HV!#:7$$"0Y#\[_N4?!#8$"0tS*["Q,@$!#:7$$"0KkypeB-#!#8$"/ete/)\&>!#97$$"0=Os9i`.#!#8$"0"p#z;E"om!#;7$$"0@T#)>=%[?!#8$!0"o!=+S'yj!#;7$$"0BY#\UZh?!#8$!0)\,%*HoJ>!#:7$$"0W([ALNt?!#8$!0LdpQk33$!#:7$$"0kGdRK_3#!#8$!0:O&o?i'=%!#:7$$"0AWQWZy4#!#8$!0<<IyUfH&!#:7$$"/)f>\i/6#!#7$!0-a*pe4@j!#:7$$"/*zfatF7#!#7$!0'pG]U![A(!#:7$$")Y3N@!"'$!0*)HoC]">!)!#:7$$"0Pu[Av<;#!#8$!0*HEn!Q4J*!#:7$$"0kF0jAL<#!#8$!0d$He.Ap'*!#:7$$"/4=O+([=#!#7$!0x1p(Rr)*)*!#:7$$"0;")**o&=)=#!#8$!0.YG2O.%**!#:7$$"0T"yV8]">#!#8$!0[m;?J5(**!#:7$$"0m"e(*p"[>#!#8$!01&e@cw!***!#:7$$"0">Q^E8)>#!#8$!03O%Rw^****!#:7$$"0;#=0$[9?#!#8$!0^<Xjxs***!#:7$$"0T#)*eRw/A!#8$!0jm"p![S)**!#:7$$"0m#y7'z!3A!#8$!0G`g[V)f**!#:7$$"0"Hem_R6A!#8$!0w$>#\!pC**!#:7$$"0b5@#G'QA#!#8$!0i4E*)G`p*!#:7$$"0>QwPIjB#!#8$!0%)y*o#eaJ*!#:7$$"0d8FkC5E#!#8$!0(G*40BS9)!#:7$$"0W([(f"QtA!#8$!0-,NQtmO(!#:7$$"0JhAbQdG#!#8$!0LD$[=)pZ'!#:7$$"0sWR'=M)H#!#8$!0jlr:1zY&!#:7$$"09Gc<X4J#!#8$!0&QJd74sV!#:7$$"0Pu[Z/VK#!#8$!0#f5qNANJ!#:7$$"/17uPmPB!#7$!0`(\UW[U=!#:7$$"0rTL%H"*\B!#8$!0[l'GnTxi!#;7$$"0"Gc7@;iB!#8$"0xCp'43kf!#;7$$"0E_ah`UP#!#8$"0<*RAC6'z"!#:7$$"0rT$=^M'Q#!#8$"0#[Sl()epH!#:7$$"0lHftq#*R#!#8$"0Uw#)GPc<%!#:7$$"0f<NN'>7C!#8$"0Bq%\)>?J&!#:7$$"0$e;LQ4DC!#8$"0>FeY0wN'!#:7$$"029GJ"*zV#!#8$"0<[R-#e(H(!#:7$$"0-.1#Q9hC!#8$"0"yYq*4<n)!#:7$$"0Rycjp&)[#!#8$"0CFQ+$R'p*!#:7$$"0-/3'R/+D!#8$"0:v(*)*3E"**!#:7$$"0lHfG=:^#!#8$"0e=zbe%)***!#:7$$"0sWRTt[^#!#8$"0;!Hh6s)***!#:7$$"/)f>aG#=D!#7$"03UgPHx)**!#:7$$"0([(*pOe@D!#8$"0#)QVd&\l**!#:7$$"0&**)zzQ\_#!#8$"0Hl@yW?$**!#:7$$"/,-a!\;`#!#7$"0.DiTb;$)*!#:7$$"0D]+Jf$QD!#8$"076s88qo*!#:7$$"0oOtYwRc#!#8$"0MI*es$>u)!#:7$$"0>Pu`\oe#!#8$"0Y(3@#[KT(!#:7$$"016s66(*f#!#8$"02"4+_>"\'!#:7$$"0#\)ppsDh#!#8$"0hAXh7>Y&!#:7$$"0He;`>bi#!#8$"0,N'4@sMV!#:7$$"0mJjOm%QE!#8$"0um(*>u\8$!#:7$$"/)fpm^8l#!#7$"0RD*\Sz))=!#:7$$"0%zenpBkE!#8$"0_y,MuH6'!#;7$$"0_.2H$=wE!#8$!0O%)\"RBEe!#;7$$"/">QhH")o#!#7$!0'3f7#R#o<!#:7$$"0CZ%R$*\+F!#8$!0ct242"pH!#:7$$"0Qv]1pGr#!#8$!06[g_-Y7%!#:7$$"03:I&=mDF!#8$!0<"G/N6`_!#:7$$"0xa4ka%QF!#8$!0O8FhrdH'!#:7$$"0JhAS17v#!#8$!0&H!z*QqKs!#:7$$"0%ycj"eRw#!#8$!/&>\L'=_!)!#97$$"0yc8n">!z#!#8$!0$o$GP0XJ*!#:7$$"0jE`"\u,G!#8$!0EZ0jh=n*!#:7$$"0['Hf")H8G!#8$!0Dh?)QE+**!#:7$$"/%zLr\l"G!#7$!/p6_7$3%**!#97$$"0JiuE,)>G!#8$!0iZ4]*)3(**!#:7$$"0BX:#G0BG!#8$!0@d>&oS!***!#:7$$"09GcP/j#G!#8$!/9/sEO****!#97$$"016(HfbHG!#8$!0^+M\Zx***!#:7$$"0(Rz$[2G$G!#8$!0\[N-jb)**!#:7$$"0)o(y.fg$G!#8$!0$y]V@#G'**!#:7$$"/)f>f5$RG!#7$!/@>%*)[&H**!#97$$"0LlI@qB&G!#8$!0W&4i_o!p*!#:7$$"0&3<M)Ha'G!#8$!/)es<ynG*!#97$$"/">Qc+1*G!#7$!0c;Vt9/2)!#:7$$"0*)y2GH?!H!#8$!0Lg1SuVM(!#:7$$"0pQx*zX8H!#8$!0"*R3Z4D_'!#:7$$"018w%y/FH!#8$!0_**p%\UNa!#:7$$"0W([(pP1%H!#8$!0lv!476[U!#:7$$"0d9H3]@&H!#8$!0**zD<'4!=$!#:7$$"0rT$oCmjH!#8$!0&3<b-)*p?!#:7$$"06A%4T0xH!#8$!0T%R"4(*>X(!#;7$$"0^-0vX/*H!#8$"0P_)Q*\#Hf!#;7$$"0#\)>i*H-I!#8$"0h$4blHp<!#:7$$"0MnM\`T,$!#8$"0`\E2O3#H!#:7$$"/6Ap!fr-$!#7$"/N3#)*3l8%!#97$$"0([(\kk,/$!#8$"0NWeZ8BG&!#:7$$"0AV'G!\D0$!#8$"0"*obpH2H'!#:7$$"0c6BTL\1$!#8$"0&=,&Q'y-s!#:7$$"018E-x24$!#8$"0tVWrIkt)!#:7$$"0'=PC&4X6$!#8$"0,)G;$)[N'*!#:7$$"/,-z)3t7$!#7$"0fw'=-;)*)*!#:7$$"0MoOB3,9$!#8$"0=z*o#)*))***!#:7$$"0&*Rn'>VVJ!#8$"0bb7^3$)***!#:7$$"0c6)*pbn9$!#8$"0P=uVum)**!#:7$$"0<$)GVz+:$!#8$"0L!o)*)3S'**!#:7$$"0xaf;.M:$!#8$"0#Q"=$pLI**!#:7$$"0*z4K10gJ!#8$"0U<#4Y8I)*!#:7$$"0@T#)4)pmJ!#8$"0t.()35lo*!#:7$$"0f<NlW)*=$!#8$"0;)QWUGe))!#:7$$"0oOtcV[@$!#8$"0h,z!z)\V(!#:7$$"0)pRHnvFK!#8$"0@1@aJ>^'!#:7$$"0Hd9*)p1C$!#8$"0:EMoR/[&!#:7$$"0Gc7!HI`K!#8$"0cpuv')GQ%!#:7$$"0Gb5"f$fE$!#8$"0>K;.za@$!#:7$$"018w**e"yK!#8$"0:a:isp.#!#:7$$"0&3<%3#Q!H$!#8$"0#\"oG42G)!#;7$$"029yt`RI$!#8$!0Q6Tc'**y_!#;7$$"0Hd9RDvJ$!#8$!0p'f%yhT(=!#:7$$"/%ze7?(HL!#7$!0$f%=%>9bI!#:7$$"0^,.'[">M$!#8$!0F!f')[u!>%!#:7$$"006AMN\N$!#8$!0'[+C68M`!#:7$$"/17Ce&zO$!#7$!0kN*\R@(Q'!#:7$$"0xafJa(zL!#8$!0[5-CD&[s!#:7$$"0%*)y2Gb"R$!#8$!0oi$f304!)!#:7$$"0f=Pa]tT$!#8$!0%31iPor#*!#:7$$"0@TKP([HM!#8$!0y?v,lql*!#:7$$"0#Qw-UiTM!#8$!0lr_pp.!**!#:7$$"0sVP#ezWM!#8$!0(*R4+U+%**!#:7$$"0iBZWnzW$!#8$!0PQzF;(p**!#:7$$"0_.d1R6X$!#8$!0o!))yEO*)**!#:7$$"0U$o'o5VX$!#8$!0$evU9'*)***!#:7$$"0KjwI#[dM!#8$!0=/["H])***!#:7$$"0AV'GRlgM!#8$!0dGib()z)**!#:7$$"07B'\b#QY$!#8$!0VIP%fUn**!#:7$$"0,.1<(*pY$!#8$!/9()e(Qo$**!#97$$"0c7v_+%zM!#8$!0X'oHCn@(*!#:7$$"06AW)Q!=\$!#8$!0K"[jj8d$*!#:7$$"07C[@ux^$!#8$!0*Gf&*))[P")!#:7$$"0=OAZ!GIN!#8$!0$))y"*G%*[t!#:7$$"0C['HnyUN!#8$!01m#*R/cW'!#:7$$"0&3<%=wbb$!#8$!0%ftzA!yT&!#:7$$"0Z$pQcOoN!#8$!/w7==],V!#97$$"0Qv+>\5e$!#8$!0,#Gg"**\7$!#:7$$"0Hd9uKPf$!#8$!01moA"H)*=!#:7$$"0d9zg(Q0O!#8$!0hZ5&32Pu!#;7$$"0'=PuC/<O!#8$"0c))\Ry'4U!#;7$$"0"Hem-SIO!#8$"0(GI3v%yu"!#:7$$"0(Rze!ePk$!#8$"0M**=d'eVI!#:7$$"0$pQFaqbO!#8$"0OD,XSs:%!#:7$$"/*zfz_wm$!#7$"0`">*eC;@&!#:7$$"0%*)y#="R!o$!#8$"0_P@]FOD'!#:7$$"0*zfp&HJp$!#8$"06*HM@H%>(!#:7$$"0d8F49vr$!#8$"07(\OFRe')!#:7$$"/$f=(**eWP!#7$"0'RrAt7"o*!#:7$$"0%*)yKGJcP!#8$"0-/O![o2**!#:7$$"0f=PpN!oP!#8$"0rw!>8C)***!#:7$$"06@<3i8x$!#8$"0D7oYZ*)***!#:7$$"0iB(p%)ouP!#8$"0JJ@%4f))**!#:7$$"08Ex&[,yP!#8$"0"RK.K=n**!#:7$$"0kGdCT8y$!#8$"0<jb$zuM**!#:7$$"0nL<-%*zy$!#8$"0^hv^]p$)*!#:7$$"0pQxzYYz$!#8$"0m(Gu8j&p*!#:7$$"0v],$***)=Q!#8$"0.()*z"eQ#))!#:7$$"0Rxa/Ha%Q!#8$"0N]*48\"G(!#:7$$"0E_a6uo&Q!#8$"0V)>4$)4^k!#:7$$"09Fa=>$oQ!#8$"0:+P"[HOb!#:7$$"0&3<%y`8)Q!#8$"0.^>8GpS%!#:7$$"0d9HQ)Q%*Q!#8$"/")*RN$z-K!#97$$"0/4=;zp!R!#8$"0.:&zb$y)>!#:7$$"0_.2%*p&>R!#8$"03z[5nST(!#;7$$"0tYV\_@$R!#8$!0dV%HcQf^!#;7$$"0&**)z/NZ%R!#8$!0(*eVBE^w"!#:7$$"0W)o78FdR!#8$!0*o(Q=()>)H!#:7$$"0$pQxv!)pR!#8$!0%\'H=X?:%!#:7$$"/29.5&=)R!#7$!06*>6x%\@&!#:7$$"0Z%*)GW*Q*R!#8$!0&\Iz=I-i!#:7$$"//3"p8p+%!#7$!0j*Gi`=or!#:7$$"0LmK&H$*>S!#8$!0lkrxQF,)!#:7$$"08D]b\Z/%!#8$!0tGl&H%oB*!#:7$$"017uq3y0%!#8$!0W4:!y8d'*!#:7$$"0**)zfy'32%!#8$!0X/WLsH"**!#:7$$"0a3#zK#Q2%!#8$!0#H;uOaZ**!#:7$$"04=')pyn2%!#8$!0$GWgpUt**!#:7$$"0kF!=TtzS!#8$!0CBre*f!***!#:7$$"0>Pu`*o#3%!#8$!0YeebY!****!#:7$$"0tYo&\k&3%!#8$!0Ox"*[g()***!#:7$$"0GciP+')3%!#8$!0"o#pjT(*)**!#:7$$"0$em&zb:4%!#8$!0W`g(y*>(**!#:7$$"0Qv]@6X4%!#8$!00CPqWb%**!#:7$$"0b4>Qwv5%!#8$!0f,"o_+D(*!#:7$$"0sV([:k?T!#8$!0C*GutpQ$*!#:7$$"08D]&)pc9%!#8$!0eTw:&*>;)!#:7$$"0$oO[N:eT!#8$!0hPLzz!zt!#:7$$"0a3<CP1<%!#8$!0hF(*>;8['!#:7$$"0%*)y2ln$=%!#8$!06pT6IhV&!#:7$$"0NpQx:n>%!#8$!0'=q([[')H%!#:7$$"0sWRTD(3U!#8$!0NE)["[f=$!#:7$$"/,-a]t?U!#7$!/U3?;NF?!#97$$"03;#oX.LU!#8$!09B;s3m5)!#;7$$"017C3M`C%!#8$"0:O4VzF=%!#;7$$"0pPv?9*eU!#8$"0p&="Q%3n<!#:7$$"0KjEL%\sU!#8$"0C`qL_L3$!#:7$$"04=O-!z%G%!#8$"04")yt!zEU!#:7$$"0'Gd9d3(H%!#8$"0L"o'G2kI&!#:7$$"0U$oh.m4V!#8$"0[)=Lh_Fj!#:7$$"0(Rz3]BAV!#8$"0R+jzC([s!#:7$$"03;K>6yM%!#8$"03!H9Qob()!#:7$$"0MoOo?8P%!#8$"0/b_RJ,k*!#:7$$"0;K9'3&QQ%!#8$"0mS4F-o*)*!#:7$$"0)f>R5Q'R%!#8$"0U/vC"H)***!#:7$$"0.0&Q(*[*R%!#8$"0\=4=1#****!#:7$$"029yV)f-W!#8$"0Gv#['e/***!#:7$$"07Br82dS%!#8$"0`>D5d?(**!#:7$$"0;Kk$e")3W!#8$"0%R\D$>S%**!#:7$$"0D]]BL]T%!#8$"0Z(RPF:f)*!#:7$$"0MoOj]7U%!#8$"/)*)*Qo=O(*!#97$$"0tY$pL&yW%!#8$"0t'p+k!Qz)!#:7$$"0E^-D"ffW!#8$"0eI)zarv")!#:7$$"0yb68H8Z%!#8$"0R8Ae5^W(!#:7$$"0BX!4A([[%!#8$"0vIIU\bZ'!#:7$$"0nMpG:%)\%!#8$"0[qnU)R(Q&!#:7$$"0,.1(oj5X!#8$"0"Hyf.9?V!#:7$$"0OrUXeG_%!#8$"0u[k)QV)=$!#:7$$"0W([s5&\`%!#8$"0J%zQQz@?!#:7$$"0_.2pVqa%!#8$"0&RnQ#[iD)!#;7$$"0Qv+9Z+c%!#8$!.Zv5?gt%!#97$$"0CZ%*e]Id%!#8$!0zF6+K[w"!#:7$$"0E_/k1he%!#8$!0')3!=cFJI!#:7$$"0Hd9pi"*f%!#8$!0KIkK@hC%!#:7$$"0\)pk</6Y!#8$!/mi#)=<*G&!#97$$"/(Rz$3#Hi%!#7$!0K?=StwD'!#:7$$"0Gbg)e`NY!#8$!0:BrcD$*=(!#:7$$"0&3<M4:[Y!#8$!.F^&)=n+)!#87$$"006A/tFn%!#8$!0Fna/)\D#*!#:7$$"0C[YN=ho%!#8$!0T;,92pl*!#:7$$"0V&3nOY*p%!#8$!0>#=mVe;**!#:7$$"0u)\=0N-Z!#8$!09y'Qpl\**!#:7$$"017*ptB0Z!#8$!0O098QW(**!#:7$$"0QD8AC"3Z!#8$!0XsLH24***!#:7$$"0pQF265r%!#8$!0Vz-q]!****!#:7$$"0,_T#z*Qr%!#8$!0safch))***!#:7$$"0Llbx%y;Z!#8$!0C5![+M!***!#:7$$"0kypir'>Z!#8$!025xC$\t**!#:7$$"0'>Ry%eDs%!#8$!0u_S?N$[**!#:7$$"0'Hf$4@et%!#8$!/&e&o=sE(*!#97$$"0(Rz3P3\Z!#8$!0OB')3pUL*!#:7$$"0D\)>)=Sx%!#8$!08`yQO-;)!#:7$$"0$pQ_fO'y%!#8$!0%H`T"QiQ(!#:7$$"0iC\38()z%!#8$!.8fVy(*\'!#87$$"0\)pR+26[!#8$!/"HL#\`8b!#97$$"0OsW*pUB[!#8$!/*y$H*4KW%!#97$$"0ybhIIg$[!#8$!/3G9Z'=G$!#97$$"/#RyhL'[[!#7$!/e&3>e%o?!#97$$"0V&3<H*>'[!#8$!0$4*z![tou!#;7$$"0mJj@_`([!#8$"0i34L4-)e!#;7$$"0w_bQ,w)[!#8$"0(H&**)oN.=!#:7$$"0(Qxa0&)**[!#8$"0#y&zqo;*H!#:7$$"0Kjw0U>"\!#8$"0,0AP)y?T!#:7$$"0w_0cLS#\!#8$"0)3E[Ot*=&!#:7$$"/29y"fp$\!#7$"0YI%[lB[i!#:7$$"0kGdz%))\\!#8$"07M\U%\-s!#:7$$"0)oPvAyi\!#8$"0<lPu6\.)!#:7$$"07D]vzc(\!#8$"/3e6v&Qt)!#97$$"$+&!""$"08@\Gg'\'*!#:-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q,y~=~ccos(x)6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"$+&!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%qL!""-%.BOUNDS_HEIGHTG6#$"%!\$!""-%)CHILDRENG6"

Figura 5.4 Gr\303\241fico de 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

<Text-field style="Heading 2" layout="Heading 2">Exemplo 5.3</Text-field>

Considere o limite no infinito de um produto entre uma fun\303\247\303\243o peri\303\263dica e uma fun\303\247\303\243o racional. Tal produto poderia ser o seguinte:

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCooLUkkc2luR0YkNiNJInhHRiciIiIsJkYtRi5GLiEiIkYuLCgqJClGLSIiI0YuRi5GLUYuRi5GLkYwL0YtSSlpbmZpbml0eUdGJQ==

A fun\303\247\303\243o neste exemplo \303\251 o produto de uma fun\303\247\303\243o peri\303\263dica e uma express\303\243o racional. A fun\303\247\303\243o racional neste exemplo aproxima-se de zero quando x cresce sem limites. A Regra do Produto n\303\243o pode ser usada para concluir que o limite \303\251 zero porque 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 n\303\243o existe. Em situa\303\247\303\265es como estas o Teorema do Confronto pode ser aplicado. Como a fun\303\247\303\243o peri\303\263dica neste problema \303\251 limitada (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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUkjbW9HRiQ2LVElJmxlO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZJLUkjbW5HRiQ2JFEiMUYnRjVGNUYrRjU=) para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e a fun\303\247\303\243o racional \303\251 positiva para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn >1, podemos concluir que para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMUYnRjktRjY2LVEiLEYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GOQ==

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

(5.1)

A confirma\303\247\303\243o gr\303\241fica do resultado \303\251 fornecida na Figura 5.5.

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

-%%PLOTG6(-%'CURVESG6$7acm7$$"$+"!""$!03%=!)>)4T%!#;7$$"0nM>"o[75!#8$!0GC1a![t^!#;7$$"0NpQit\-"!#8$!0=dz@T:%e!#;7$$"0-/eVgu."!#8$!0'QG"RmnS'!#;7$$"0pQxCZ*\5!#8$!0'e#HbqC'o!#;7$$"0/3;(3#\2"!#8$!0$=ODa^Fu!#;7$$"0Rxa\%*)*4"!#8$!0[B!oGL>v!#;7$$"0'G27Ri@6!#8$!0wW,$H]As!#;7$$"0Mo'GLNV6!#8$!0T5u")3-g'!#;7$$"0#QEXF3l6!#8$!0%4s`m'4p&!#;7$$"/$f=;7o="!#7$!04jj.!=XX!#;7$$"0ZWEmI!*>"!#8$!0r5wf!4>Q!#;7$$"0lHM;\7@"!#8$!0.HjcS&[I!#;7$$"0#[@kwYB7!#8$!01@m8kbC#!#;7$$"+lhoN7!")$!0O2#3,ZA9!#;7$$"0=&ylY!zC"!#8$!/:v;3g;f!#;7$$"0Nql;B,E"!#8$"0iXYE=bM#!#<7$$"0`btmTBF"!#8$"0d#Q;_6W5!#;7$$"/29o,c%G"!#7$".Zi98a#=!#97$$"//3h'foH"!#7$"0j(e?r=sD!#;7$$"/,-a"f"48!#7$"0N>WTq'oK!#;7$$"/)fpke9K"!#7$"0H'yrzG0R!#;7$$"/&**)R"ePL"!#7$"0>(G<p\tW!#;7$$"0*)yd7d$e8!#8$"0.zrh;jP&!#;7$$"0He;6cHQ"!#8$"0K99(R7Lf!#;7$$"0.bs9(>&R"!#8$"00:ZSNM2'!#;7$$"0w^G=QuS"!#8$"02'=R*R97'!#;7$$"0\[%=#z'>9!#8$"0:JNS'yxg!#;7$$"0BXSD?>V"!#8$"0`A#erXWf!#;7$$"0pQ_K-kX"!#8$"0u69!H1Ba!#;7$$"0;KkR%)3["!#8$"08,"*yDvf%!#;7$$"0w^.T#e.:!#8$"0bbm7A(4O!#;7$$"0OrUU!GE:!#8$"0@^YshVY#!#;7$$"0&4>Q%y*[:!#8$"0vKn;7JA"!#;7$$"0b5@Xw;d"!#8$!06v#**>=6\!#=7$$"0-/3$*y^f"!#8$!0V6YDW*H8!#;7$$"0\(\49o=;!#8$!0&zt)>fi]#!#;7$$"0&4>))Q=U;!#8$!0tyk%G;<N!#;7$$"0U%)oO'ol;!#8$!0MV[9b@J%!#;7$$"0&)pRm#***o"!#8$!0,o2&\Gn[!#;7$$"0Gb5'*)H9<!#8$!0Xe/\3g7&!#;7$$"/29e_gQ<!#7$!/1rgHq!3&!#:7$$"08E_b6Hw"!#8$!0p&R)o49u%!#;7$$"0a3<!*Rry"!#8$!0_ff4mr8%!#;7$$"0&4>[#o8"=!#8$!0QXsUr$3L!#;7$$"0PtYf'fN=!#8$!0"RY)RGzI#!#;7$$"0yb6%\#)f=!#8$!0=#fmwK(>"!#;7$$"0GbNxYZ)=!#8$!0sHyutj$**!#>7$$"0xafgo'4>!#8$"0Epg/*[]6!#;7$$"0Fa$Q/fM>!#8$"04uPp&*R@#!#;7$$"0x`2F7&f>!#8$"/&QJS,"=J!#:7$$"/#Ryf9M+#!#7$"/'G)oQFuT!#:7$$"0iC\#pJZ?!#8$"0Kis^"H8W!#;7$$"0xaftG?2#!#8$"0Hly@!*o<%!#;7$$"0#\)paSn4#!#8$"/-c&>6Wp$!#:7$$"03:!eBX@@!#8$"04x>>\***H!#;7$$"0BX!pT;Y@!#8$"00-juQ&R@!#;7$$"0tX"\u(4<#!#8$"04A0jLS;"!#;7$$"0BY#H2z&>#!#8$"0-%Hs@**y8!#<7$$"0tY$4Sg?A!#8$!0'GWwYCe()!#<7$$"0CZ%*G<aC#!#8$!0)z"*3u6;=!#;7$$"028E[H$pA!#8$!0dB>T_4g#!#;7$$"0*)ydnTKH#!#8$!0vH(4nHCK!#;7$$"0sW*oQ:<B!#8$!00a0LnTl$!#;7$$"0b5@1m5M#!#8$!/hSz.-qQ!#:7$$"0zdl=&\%Q#!#8$!0;Y]wFlp$!#;7$$"0.05JCzU#!#8$!09C'z(4O&G!#;7$$"0Lmd-XPX#!#8$!0u>&e,&H5#!#;7$$"0kF0ul&zC!#8$!0kDL06&G7!#;7$$"0&*)GbkQ0D!#8$!/@%oOa"**G!#;7$$"0D]+<27`#!#8$"0)G&HPo9]'!#<7$$"0"=O-23`D!#8$"0DWHe"y,9!#;7$$"0PtYBa\d#!#8$"/OaMkRv?!#:7$$"0#\)pwFof#!#8$"0d]b(RVSE!#;7$$"0['H*H,(=E!#8$"0\$eQy">2$!#;7$$"0D\tTXTk#!#8$"0Dlx45>Q$!#;7$$"0,-a`*epE!#8$"0syn&pfqM!#;7$$"0xaMlL]p#!#8$"0s'Rt\?OL!#;7$$"0a2:xx/s#!#8$"/%HE_k6*H!#:7$$"07Ct7+Iu#!#8$"0y2)Q8EID!#;7$$"/29$[Abw#!#7$"0j"[flX\>!#;7$$"0Hd*Q[/)y#!#8$"0C[/:.'z7!#;7$$"0(Qx%>n0"G!#8$"0Q3T"QQbb!#<7$$"0.1()yx_$G!#8$!0xKoDkCd#!#<7$$"0>QEQ))*fG!#8$!0`Yb5+:/"!#;7$$"0Nql(*)p%)G!#8$!0"H[r?^]<!#;7$$"0^-0d4%4H!#8$!0"Gg'>HGM#!#;7$$"0Os%**)RH$H!#8$!0GoxTutw#!#;7$$"0@U%G-ZcH!#8$!07I^%\CMI!#;7$$"09FHRN#oH!#8$!0T(H+'fV5$!#;7$$"017ub++)H!#8$!0G#\hc>JJ!#;7$$"0_a'RJ)e)H!#8$!0xbfyW$GJ!#;7$$"0*p*=sl<*H!#8$!0RC"G;q9J!#;7$$"0XRTI[w*H!#8$!0f&G%o_.4$!#;7$$"0">Q')3`.I!#8$!0i(=i4UbI!#;7$$"0xafuLE0$!#8$!0*Q+u9#3Q#!#;7$$"0kFbgO<5$!#8$!0$f^o2(=<"!#;7$$"0Np)e$Go9$!#8$"0cNFyw!f:!#<7$$"016A6?>>$!#8$"01Q&=H%yT"!#;7$$"0Pu)fwbSK!#8$"00Y)*pHEU#!#;7$$"0pPv?&>*G$!#8$"0M$RA$ea%G!#;7$$"08E-&frRL!#8$"00Tim$p$e#!#;7$$"0d9HpO-R$!#8$"0$e.))yu#p"!#;7$$"/(Rz9:UV$!#7$"/,pMY)e'e!#;7$$"0#['Hg$>yM!#8$!0PeKBAc.'!#<7$$"06@#R:pDN!#8$!0HfjoIQs"!#;7$$"0RxaZ*=tN!#8$!0oG[1i"RC!#;7$$"0nM%zpX&e$!#8$!/>D9gbPD!#:7$$"0'>R$[Cxf$!#8$!0Ko*R&*H(f#!#;7$$"/1PN#eQg$!#7$!019Y^_Ch#!#;7$$"0D\t)>**4O!#8$!/U)*4pu<E!#:7$$"0*yKRd7;O!#8$!0J)oTW>8E!#;7$$"0`18\fAi$!#8$!0zSNmV))f#!#;7$$"06@#*\%zYO!#8$!0lS.N(pXC!#;7$$"0oNr]H8n$!#8$!0P4$o7#*[@!#;7$$"0'=PW\L>P!#8$!0#z$>X0NB"!#;7$$"0/3;QStw$!#8$!/T+E)oeY'!#<7$$"0kF06)y8Q!#8$"0-Lx$)*Gc5!#;7$$"0CZ%ReBgQ!#8$"0ckC_J/$>!#;7$$"0Np8)>-')Q!#8$"04!y#G"\SA!#;7$$"0Y"HB"3="R!#8$"0fy^V]%*R#!#;7$$"0*>xeYD=R!#8$"0'))*fpYVT#!#;7$$"0^_U>,Z#R!#8$"0pp:9#=>C!#;7$$"0/L(Hx9JR!#8$"0h"GQ!oRT#!#;7$$"0d8_E%fPR!#8$"/uD0sv)R#!#:7$$"0iuhL([]R!#8$"0=Y$R@wQB!#;7$$"0oNrS!QjR!#8$"0eLC;L/C#!#;7$$"/(RzR?(4S!#7$"0x^ewX\g"!#;7$$"0sV()Qgg0%!#8$"0G8thXR['!#<7$$"*AQb5%!"($!/\IS/GR\!#;7$$"0Gc70;]:%!#8$!/zA0$eK\"!#:7$$"08E-K])*>%!#8$!0EgQ+b#y?!#;7$$"0)f>*e%oWU!#8$!0rq"Gv"[C#!#;7$$"0JiuG+PH%!#8$!09Z&fz,A>!#;7$$"0kGd)frUV!#8$!0")Q<$yUe6!#;7$$"0d9z$f$))Q%!#8$!0,$z1K(4/#!#<7$$"/05!*e&\V%!#7$"0t&[a%e_t(!#<7$$"0(\**GX;$[%!#8$"0#3"=^c4g"!#;7$$"0X*)y;t8`%!#8$"0OGJ5f.0#!#;7$$"0[@Cwks`%!#8$"0_9Y")*ot?!#;7$$"0_`pNcJa%!#8$"0U]&fdx*3#!#;7$$"0b&[^z/\X!#8$"0#)[.<z&)4#!#;7$$"0f<gaR\b%!#8$"0m3"ov3+@!#;7$$"0m"3NFsmX!#8$"0[p(\cH"3#!#;7$$"0tXT#f]yX!#8$"0$p&3/.Q.#!#;7$$"0(QF-B2-Y!#8$"/^HkoGc=!#:7$$"0,-/oQci%!#8$"/k7:?Qy:!#:7$$"0$e;3B)\n%!#8$"0&3d^SU&[(!#<7$$"0lHf$fKCZ!#8$!0'y2*fW^T#!#<7$$"0[&49(\=x%!#8$!0#\DkrDD6!#;7$$"0JhA\t$>[!#8$!06C[+r_u"!#;7$$"0FaeXtO%[!#8$!027M=$o9>!#;7$$"0CZ%>M(z'[!#8$!0DScK30(>!#;7$$"/-/$QtA*[!#7$!0ds#f#o0">!#;7$$"0<LmMtl"\!#8$!0b%e[]YR<!#;7$$"0U%)=%3xk\!#8$!0*3_)**[,7"!#;7$$"0oNrLoH,&!#8$!00O2N')Rf#!#<7$$"0Pt'HoDd]!#8$"0&f[O`>Vd!#<7$$"016AKX:5&!#8$"0A1%\EC%G"!#;7$$"017u7Dp7&!#8$"0GBq`&p"e"!#;7$$"028E$\I_^!#8$"0)z(3_wax"!#;7$$"0d8_$[*\;&!#8$"0cXjC^'H=!#;7$$"029yt%ox^!#8$"0Yz^5;U&=!#;7$$"0K9"*oHS=&!#8$"/^M3lHb=!#:7$$"0d9/ku.>&!#8$"0QBQ^;*[=!#;7$$"0#[r"f>n>&!#8$"0CPNE>^$=!#;7$$"03:IakI?&!#8$"0^0KdxR"=!#;7$$"0MoOak%[_!#8$"0#>gh_Oh9!#;7$$"0h@VakQH&!#8$"0Gm!3oO4#)!#<7$$"0)f>9/FU`!#8$!0F$frb%p"G!#=7$$"0NqSGw1R&!#8$!/JdJ>'=c)!#;7$$"0&**)z(o+Pa!#8$!0G%p<r#[X"!#;7$$"0b4>ZPL[&!#8$!0Ui_$p[R<!#;7$$"0V'GU;yMb!#8$!0/l1(H@C;!#;7$$"0KjE"eA'e&!#8$!0a=)fOE%4"!#;7$$"0)f>%os2j&!#8$!0h`F4h&)3%!#<7$$"0kGdb>`n&!#8$"0kS%e@v`M!#<7$$"0$oO`1)es&!#8$"0\%=oj;*4"!#;7$$"0.05vTkx&!#8$"0h`'>5\n:!#;7$$"0v+*))>'zy&!#8$"0GPeT&y?;!#;7$$"0['zEA[*z&!#8$"0&3=k+V_;!#;7$$"0@#pkC+6e!#8$"0HTOS*3i;!#;7$$"0%ze-F_Ae!#8$"0w?dt>(\;!#;7$$"/%z$yJcXe!#7$"0,eF$3<g:!#;7$$"0&3<aOgoe!#8$"04N6:b"*Q"!#;7$$"0Y"Ht*3!>f!#8$"00kKQp3$y!#<7$$"017CH9%pf!#8$!0D'y;j#zG'!#>7$$"0e;$eb!H,'!#8$!0e?A(3fKo!#<7$$"06@U#oRcg!#8$!0$Rg'G.XA"!#;7$$"0<M=ci63'!#8$!01@48<GV"!#;7$$"0CZ%*HGf5'!#8$!0pK(pxS_:!#;7$$"/0&Qt>@6'!#7$!0b])z`an:!#;7$$"0x`#o6J=h!#8$!0=Dy:_md"!#;7$$"0/dEg-X7'!#8$!0z/600(z:!#;7$$"/.1PSpIh!#7$!0P%)e?/nd"!#;7$$"0$o'e!p2Vh!#8$!0*)y^^dEb"!#;7$$"0PtYxfa:'!#8$!0s*f&Gt\]"!#;7$$"0OsWt/L?'!#8$!0<sN)=8=6!#;7$$"0OrUp\6D'!#8$!0$fw\Sox[!#<7$$"0e:")Rj*)H'!#8$"06fi0EfT#!#<7$$"/)f>5xnM'!#7$"0ENz%zBl!*!#<7$$"029y!\T%R'!#8$"0'3TS6$)e8!#;7$$"0MoOr_?W'!#8$"0O(pxnC/:!#;7$$"0mK:t<y['!#8$"0WngEE%G8!#;7$$"0)pR\FeLl!#8$"0jC9S'RM))!#<7$$"0_.d%f0$e'!#8$"0Z*yhd#z4#!#<7$$"005?9HDj'!#8$!/<*[Q'eS]!#;7$$"0w^`o!ozm!#8$!0#>:\AQl5!#;7$$"0Z$pGA$os'!#8$!0P$Q"oZ")Q"!#;7$$"0ExgKNIt'!#8$!0">![J$e39!#;7$$"01hMUQ#Rn!#8$!0V6*G!pNU"!#;7$$"0&[%3_Tau'!#8$!0RJ5)p0L9!#;7$$"0kG#=Yk^n!#8$!/B?D0-P9!#:7$$"0W7crZyv'!#8$!0[:nFaaV"!#;7$$"0B'*H"30kn!#8$!0-_\4u$G9!#;7$$"0.!Q5RDqn!#8$!0dTZ)p"eT"!#;7$$"0#Qw2qXwn!#8$!0vjn"4%yR"!#;7$$".*H(Rp7!o!#6$!0a^6aBOF"!#;7$$"0<Moy"3Eo!#8$!0#=k.xas5!#;7$$"0U%)o`Ef"p!#8$"03?*3]M4i!#=7$$"0Fa3<ub'p!#8$"0'RbYM7zr!#<7$$"07C[!=A:q!#8$"0Z!orhb#>"!#;7$$"0Y"z&p)**Qq!#8$"0UZ20.1K"!#;7$$"0zenevF1(!#8$"0[y#Hvut8!#;7$$"0j+&4)>(oq!#8$"0=_0[U\P"!#;7$$"0YUA.kY2(!#8$"0lm@o#Gr8!#;7$$"/V)\D313(!#7$"0<6t'*)yi8!#;7$$"08ExZ_l3(!#8$"0*zZ$=*\\8!#;7$$"/)4K#4W)4(!#7$"0&zSWow38!#;7$$"0Z$po$H.6(!#8$"0"yjO6s\7!#;7$$"0'>R.uwdr!#8$"0Mtl$3-I&)!#<7$$"0X!4Qa?0s!#8$"0H9?38=u#!#<7$$"0^,.'QI/t!#8$!0*yoz'epU*!#<7$$"0sWk<ArK(!#8$!/hz*o]w7"!#:7$$"0%ze#\S*\t!#8$!0[)pcb?`7!#;7$$"0bf1l\8O(!#8$!01pWKh;H"!#;7$$"0;J(3)eFP(!#8$!0o\kVJKJ"!#;7$$"0x-o'z;%Q(!#8$!0&flDno<8!#;7$$"0Pu[7xbR(!#8$!/RNl2-08!#:7$$"/">)y_JUu!#7$!0OOI^CD3"!#;7$$"0#QwKM0*[(!#8$!01d<^4%>j!#<7$$"0f=PQiAf(!#8$"0Q6^%fAAk!#<7$$"0tY$4g)*Qw!#8$"0^$>%))*4n5!#;7$$"0([(\j4do(!#8$"0UFX]]&f7!#;7$$"0)\*RH$\Lx!#8$"0*f7h"\k<"!#;7$$"03:I&pF"y(!#8$"0uy6=VPK)!#<7$$"/">QXm%yy!#7$!0T65n\#**H!#<7$$"0Ryc[MJ#z!#8$!0H&)*R=!p%y!#<7$$"0pPv^-y'z!#8$!0oLc]@56"!#;7$$"0K8k=1(zz!#8$!0>hx:"Ri6!#;7$$"0&*)Gb)4;*z!#8$!0[&\.U=(>"!#;7$$"0wE(*ohv*z!#8$!0yMh^;#37!#;7$$"0dkT_8N+)!#8$!0'=:tr&\@"!#;7$$"0R-'e`Y4!)!#8$!0N%*oa)Q<7!#;7$$"/-/$><a,)!#7$!0l(*fF3b@"!#;7$$"0Y"zIXAR!)!#8$!0(*pJcb`;"!#;7$$"0rU&o=.j!)!#8$!0:H#z5%*\5!#;7$$"/-/)4%G5")!#7$!0Ww#=F9xl!#<7$$"0pPvKOv:)!#8$!0%H^\D#fE"!#<7$$"0e:JsE'e#)!#8$"0DtJ.SAH*!#<7$$"0<MopG4G)!#8$"0z<iiw[1"!#;7$$"0w_0nIKI)!#8$"0E?e06s9"!#;7$$"0T#)R;1)3$)!#8$"/")fG#e*e6!#:7$$"017ul"Q9$)!#8$"0jhpc!4n6!#;7$$"0rT3:d*>$)!#8$"0i)=\ver6!#;7$$"0OrUkKbK)!#8$"0%pxk*RC<"!#;7$$"0,,x836L)!#8$"0O_#G*\'p6!#;7$$"0lI6j$oO$)!#8$"03Cy&3Bj6!#;7$$"/.cC"fAM)!#7$"0o***=u?`6!#;7$$"0&**)zhMyM)!#8$"0>!QLahR6!#;7$$"0&)pRJ)H*R)!#8$"0"=O+q$yd)!#<7$$"0v\*4?w]%)!#8$"0asJq#3%e$!#<7$$"09He/YOa)!#8$!0hm)zV_"e'!#<7$$"0D]]*zf*e)!#8$!0-otc">#***!#<7$$"0OrU%*\bj)!#8$!0e3H"=^I6!#;7$$"0U%)=0j\o)!#8$!02j<s!=55!#;7$$"0\(\fhPM()!#8$!0Qo.+=%3l!#<7$$"0oNr9-O$))!#8$"0_aA&=?;S!#<7$$"0E_aiU(y))!#8$"0D)e$=#fr!)!#<7$$"0%)oP5$)Q#*)!#8$"0[U$e**yZ5!#;7$$"0ky%*Rne$*)!#8$"0.(>S'Rr2"!#;7$$"0W)=&p^y%*)!#8$"/HEt4)44"!#:7$$"0MVI%Q%Q&*)!#8$"0sg\&z-#4"!#;7$$"0C)*3*f$)f*)!#8$"0sq_Gc"*3"!#;7$$"09`(Q"Ge'*)!#8$"0DXVQ"Q#3"!#;7$$"0/3mG?=(*)!#8$"0FtqkK<2"!#;7$$"0kF!y))y&**)!#8$"0B+FY!o9**!#<7$$"0CZ%puv>!*!#8$"0kI0-23b)!#<7$$"*[@L6*!"($!0QU@1t1!H!#=7$$"0JhsmLS;*!#8$!0LT)4)Q\V&!#<7$$"0hAX&eu9#*!#8$!04+7jpP;*!#<7$$"0#QEDfoO#*!#8$!0#\(p6"z35!#;7$$"0.0g*fie#*!#8$!/mm(eBD0"!#:7$$"0jv8.'fp#*!#8$!08?#fkXb5!#;7$$"0BYn1m0G*!#8$!0Z*)=T3d/"!#;7$$"0%o6-h`"H*!#8$!0TA_yDM-"!#;7$$"0W([Ph]-$*!#8$!/a2@.0*))*!#;7$$"0E^_2/HN*!#8$!0B<9Y$=!*o!#<7$$"03:I,-LS*!#8$!0cW!3IT=A!#<7$$"08D]Vb!)\*!#8$"/0![\Z`*o!#;7$$"0tYo)\^@&*!#8$"0Y)==;1n%)!#<7$$"0Mo'QX(\a*!#8$"0'H<0tZo&*!#<7$$"0:zXJ/nb*!#8$"0r+(z'4O#**!#<7$$"0&**[!4M%o&*!#8$"0fGdKnT,"!#;7$$"0v+k'Q;!e*!#8$"0([j</+A5!#;7$$"0c6Bk$*=f*!#8$"0J>.A'y:5!#;7$$"0E_/2])Q'*!#8$"0f)["G#ea&)!#<7$$"0'Hf)\1eo*!#8$"0U(Gj?^B^!#<7$$"0%pQn;f"y*!#8$!00s8$ohVT!#<7$$"0hAX+dB$)*!#8$!0=6<UFG,)!#<7$$"0He;MAJ))*!#8$!/V=8zBK)*!#;7$$"0M=C0fZ*)*!#8$!0%=yiBM-**!#<7$$"0RyJw&R1**!#8$!0\y"4-]Q)*!#<7$$"0WQRZK!=**!#8$!0rjH">)=k*!#<7$$"0\)p%=p'H**!#8$!0tD_T[aJ*!#<7$$"0f=igUH&**!#8$!0bCt&Rk$H)!#<7$$"0pQx-;i(**!#8$!0$ekU'H.$o!#<7$$"0&)p\96o+"!#7$"0jdF%\Pc9!#<7$$"0F`'zGs65!#7$"0l?s"*Hpz&!#<7$$"0oOVhMm,"!#7$"0y&\l1CK()!#<7$$"0F.\()fy,"!#7$"0n(QMi=c"*!#<7$$"0&)pa8&3>5!#7$"/NDhx+U%*!#;7$$"0VOgR5.-"!#7$"0Xb(y3v&e*!#<7$$"0-.mlN:-"!#7$"04n#Rvf&e*!#<7$$"0=Ox<')R-"!#7$"0e=dn6r:*!#<7$$"0Np))pOk-"!#7$"0UekzoZ=)!#<7$$"0D\`nN3."!#7$"0&H%oq&*\G&!#<7$$"0:H=lM_."!#7$"0e3g!\E29!#<7$$"0zd:Ycc/"!#7$!02-`Zu"3t!#<7$$"0mJLeOy/"!#7$!0-*GxEG!R)!#<7$$"0`0^q;+0"!#7$!02=hE&er!*!#<7$$".\bth00"!#5$!0T'ys3Ev"*!#<7$$"0Y#*fw160"!#7$!0a%omdf^#*!#<7$$"0$fV'z^;0"!#7$!0@h=?"R+$*!#<7$$"/%zo#o>_5!#6$!0CRBNI:K*!#<7$$"0'GKd=u_5!#7$!0L'\v&y\J*!#<7$$"0Lmx)oG`5!#7$!0,+9V$y!G*!#<7$$"/)4#=>$Q0"!#6$!0w'GeW2>#*!#<7$$"0F`'[pPa5!#7$!0o)40F1I"*!#<7$$"0=OKuw%f5!#7$!030))='edq!#<7$$"/">y`wX1"!#6$!0.%*HUQp@$!#<7$$"0%zed5Ju5!#7$"0'>fC!pbG&!#<7$$"0/24%ply5!#7$"03)fA&p-!z!#<7$$"08EU#G+$3"!#7$"0Q<q'oRJ!*!#<7$$"/-aC-*y3"!#6$"08n4]orH)!#<7$$"0Fa[ixF4"!#7$"0'*)QY]8Nc!#<7$$"0.1#>sh-6!#7$!0'e&\X*f#o#!#<7$$"0sWMj8v5"!#7$!0p*RI\iLj!#<7$$"0U$oZ+T76!#7$!0T>M'G9r%)!#<7$$"/%z$[\a86!#6$!0t?*\$f&*o)!#<7$$"0Qv!\)zY6"!#7$!0tkP[\ez)!#<7$$"0Or(\Z"e6"!#7$!0k.5Pr))y)!#<7$$"0Mn/l\p6"!#7$!007;#3%*o')!#<7$$"/$f=X>#>6!#6$!/@*Qv8()4)!#;7$$"0E^KD*[@6!#7$!0F4tu@h6(!#<7$$"0&**)*[(*=E6!#7$!01)z*>'=:S!#<7$$"0kGZC!*38"!#7$!0V$zdJl>s!#>7$$"0tXT]^d8"!#7$"0mx#)z"zxR!#<7$$"0"GcjFhS6!#7$"0f1@))og2(!#<7$$"016#)fNI9"!#7$"0A"o!4d7.)!#<7$$"/$fGVea9"!#6$"/,&H<2V^)!#;7$$"0U$=])pm9"!#7$"0sxn#4Yp&)!#<7$$"0a2vE")y9"!#7$"0k?OoC!*\)!#<7$$"0mJ[o#4\6!#7$"0m9K#**G/$)!#<7$$"0yb@5/.:"!#7$"0/IF#\O))z!#<7$$"0oN'o%)Gb6!#7$"0w2**f[aa&!#<7$$"0e:^$GFg6!#7$"0zWS)QVz<!#<7$$"0mK0I`!p6!#7$!0#H3A/k(>&!#<7$$"0oN;[C:<"!#7$!0KKD)pkUm!#<7$$"0pQFm&*R<"!#7$!/UG44#*yw!#;7$$"/-H`7Bv6!#6$!0<l(*G(eB!)!#<7$$"0rTQ%oYw6!#7$!0r0kKH`C)!#<7$$"0A$RMCqx6!#7$!/J')GO-T$)!#;7$$"0sW\-Q*y6!#7$!0PV^js%4$)!#<7$$"0#['4o+R="!#7$!0Y3Dn)*[%p!#<7$$"0#\)pLj))="!#7$!0Fo3kGG#R!#<7$$"0E^U@G%)>"!#7$"/^7"=k(fO!#;7$$"0)fpE6x-7!#7$".igZ%[(Q'!#:7$$"/29RS627!#6$"/U'R*4=9z!#;7$$"0u4qbfx?"!#7$"08RxGn$=!)!#<7$$"0xy[20%37!#7$"0ZS;Fh!*3)!#<7$$"/yu#f]!47!#6$"06#fSQ+E")!#<7$$"0$oh5hp47!#7$"0zE;kw!H")!#<7$$"0(e[G;M57!#7$"08P(=CI)4)!#<7$$"/\NYr)4@"!#6$"09Y-xWQ.)!#<7$$"0$RAkEj67!#7$"0ZA.K2g$z!#<7$$"0'H4#=yA@"!#7$"0d+(3BB0y!#<7$$"/"pNDg[@"!#6$"0\dC-Ej'p!#<7$$"0BX]KUu@"!#7$"0D+O!f+qc!#<7$$"0&)pzt">E7!#7$!08$e76zux!#=7$$"//eh0GJ7!#6$!0t'fm5u]X!#<7$$"0&4>&QpjB"!#7$!.=33l[9(!#:7$$"0y")H]&\P7!#7$!0jQ,-vm[(!#<7$$"0hs2i@'Q7!#7$!0w*RWq6Lx!#<7$$"0.o'zY=R7!#7$!0usuE0'>y!#<7$$"0Wj&QxuR7!#7$!0,?"=HC")y!#<7$$"0')euz5.C"!#7$!0#*>v%p&y"z!#<7$$"0Faj&Q(3C"!#7$!0X!z=PNHz!#<7$$"0p\_"pVT7!#7$!09UEB>d"z!#<7$$"/^9u***>C"!#6$!0yc15>q(y!#<7$$"0_SI.jDC"!#7$!0(4]m#)R8y!#<7$$"0$f$>4EJC"!#7$!/B=w/3Dx!#;7$$"0wE(4ADW7!#7$!0M<O5QcZ(!#<7$$"0f<vKy`C"!#7$!0(QmsA-Kr!#<7$$"0-/jW?.D"!#7$!0Myx=Uuk%!#<7$$"0X!4lDEb7!#7$!0QG:"4Au5!#<7$$"0RympuYE"!#7$"0eK$*=zKg&!#<7$$"0/d'R)HrE"!#7$"0r.'zI;Nn!#<7$$"0oNE)\ep7!#7$"0Q&oKacfu!#<7$$"0M!Qo()>q7!#7$"0*)[k8::d(!#<7$$".DTb73F"!#5$".>3`c[l(!#:7$$"0mp)RjUr7!#7$"08=n6.$4x!#<7$$"0K9c7S?F"!#7$"0m'f6unMx!#<7$$"0)*e8"Rls7!#7$"0(\x8:"4t(!#<7$$"0k.rpnKF"!#7$"0mXRDZ!)p(!#<7$$"/$[G[")QF"!#6$"0HdO$fBOw!#<7$$"0'Hfo_\u7!#7$"0Pb@lPda(!#<7$$"09FRW/!z7!#7$"0(*>/rmA0'!#<7$$"0Jh#>O^$G"!#7$"0Dk/UJMO$!#<7$$"0(RzG6C$H"!#7$!0JqYU0^x$!#<7$$"0"G1.KH)H"!#7$!0*Hi*Q!\yk!#<7$$"0mJtFXLI"!#7$!0b%f:jv[v!#<7$$"0<MG7VxI"!#7$!0X\T`^5%p!#<7$$"0oO$o4978!#7$!06sJmV2-&!#<7$$"0%zeb0k@8!#7$"00q(y&zcg"!#<7$$"0&3<dvaE8!#7$"0RAAn@z#[!#<7$$"0x`(eXXJ8!#7$"0WN;i[:*o!#<7$$"0n%o%paEL"!#7$"0ezS:ox:(!#<7$$"0e:1$[&QL"!#7$"0.IvdN1K(!#<7$$"0[Yl'\0N8!#7$"0f<dI$*zP(!#<7$$"0RxC5biL"!#7$"0GI'fP?Ht!#<7$$"/#RVPb'Q8!#6$"0DO@X\#=p!#<7$$"0,,ikb5M"!#7$"0-0$G>x7h!#<7$$"0'H4>/qX8!#7$"0"f!))p!yFO!#<7$$"0#\)>>X.N"!#7$"0Q*3Z!)\NR!#=7$$"0Np.U-bN"!#7$!0-1A0c%QK!#<7$$"0x`(['f1O"!#7$!0JL`%G2/g!#<7$$"0(RH[m(HO"!#7$!07Dq#e0in!#<7$$"0<Myk$Hl8!#7$!0\b'3%4n:(!#<7$$"0F/w9_kO"!#7$!0R$HO0z5s!#<7$$"0Putk5wO"!#7$!0iI`n#>or!#<7$$"0ZWr9p(o8!#7$!0H*GzwkHq!#<7$$"0d9pkF*p8!#7$!0-T-8rrz'!#<7$$"/-/Ia([P"!#6$!0TDrfrm%[!#<7$$"0$e;8K#)z8!#7$!0;V)G(z:v"!#<7$$"/)fp1!z)Q"!#6$"00o)*yw!*G%!#<7$$"07t=&3C"R"!#7$"0&4#>h%GBb!#<7$$"0V'yO;p$R"!#7$"0Nt\6'pBk!#<7$$"04V#Hq"\R"!#7$"0YHG^B9t'!#<7$$"0v*p@C9'R"!#7$"0UN`5ax$p!#<7$$"0TcT"yO(R"!#7$"0C#zl=xRq!#<7$$"028m?$f)R"!#7$"08*\L&Gh.(!#<7$$"0mJ=?0KS"!#7$"06bdD[z4'!#<7$$"0D]q><yS"!#7$"0"fwNhq&*Q!#<7$$"0:H[#*euT"!#7$!0X<Ea[Ea#!#<7$$"0xa/?s@U"!#7$!0E\^T*=)=&!#<7$$"//3wa)oU"!#6$!0H=mg3))o'!#<7$$"0XF9F-vU"!#7$!0f:'p+?!y'!#<7$$"/Xxm!>"G9!#6$!0V#H.&Qd%o!#<7$$"0b@@'etG9!#7$!0V2jz'>&)o!#<7$$"0foul_$H9!#7$!0>ck:Z%)*o!#<7$$"0k:GXp*H9!#7$!04P=^ha)o!#<7$$"0pi"[ieI9!#7$!0^HF`6j%o!#<7$$"0u4N/.7V"!#7$!0FBWFo6y'!#<7$$"0yc)Q)>=V"!#7$!0$)yEW,.p'!#<7$$"0)\C?qGM9!#7$!07)zmGPyg!#<7$$"0<L;?anV"!#7$!0Ez(oI-,^!#<7$$"0Lms&*eiW"!#7$"08]#p&zVm(!#=7$$"0#\)*\*=6X"!#7$"0JP.`o*HQ!#<7$$"0_.F%*yfX"!#7$"0f-'R_H*)f!#<7$$"/[3!)Q=d9!#6$"0Vnq?r6K'!#<7$$"03mu"))Qe9!#7$"0")*Rsl"4c'!#<7$$"0OZ[v$ff9!#7$"0\J$oz?0n!#<7$$"0kGAp)zg9!#7$"0ig[D5@v'!#<7$$"0G>4;,9Y"!#7$"06\p5A)Qn!#<7$$"0#*4'HO+i9!#7$"0-&o"H-6q'!#<7$$"0d+$)41EY"!#7$"0_1^Y2"Rm!#<7$$"0@"*pc3KY"!#7$"0n">)=#3`l!#<7$$"0\sV]8WY"!#7$"0k8$))>N5j!#<7$$"0x`<W=cY"!#7$"0[[a/#ewf!#<7$$"0a25HZ+Z"!#7$"0p)\QejhS!#<7$$"0Jh-9wWZ"!#7$"0w/(Qwhw8!#<7$$"0rTB1GY["!#7$!0#fI(=#o.[!#<7$$"0PuB1)*o["!#7$!0i"Qe8C0d!#<7$$"0/2C1o"*["!#7$!0Ys=9/=J'!#<7$$"0PBC1..\"!#7$!0G&)G^'Q%\'!#<7$$"/(RC1Q9\"!#6$!0[*yU\=$f'!#<7$$"0.cC1tD\"!#7$!0[t&o[02m!#<7$$"0OsC13P\"!#7$!0DB,LXf`'!#<7$$"/)f%\'[&)\"!#6$!0C"\AGRB`!#<7$$"0CZkB*Q.:!#7$!0@()>kc#**G!#<7$$"0;J_NbE^"!#7$"07E9*HA\H!#<7$$"0%)oAx*z<:!#7$"03&GIyg7a!#<7$$"0`1$*=WH_"!#7$"0B*[&p1JY'!#<7$$"0&[4hy0C:!#7$"0b+Q-,3Z'!#<7$$"0<$)G`r^_"!#7$"0H7V()p$)R'!#<7$$"0[rY?&GE:!#7$"0v-SODoC'!#<7$$"/)fk())RF:!#6$"0$Qd%[d"=g!#<7$$"0VO+AE'H:!#7$"0i$)3)H8U`!#<7$$"028Oc`=`"!#7$"0N\)QZ\/W!#<7$$"/29$yl>a"!#6$!0zIgoFmj"!#<7$$".*HyQdY:!#5$!/o6$pKa?%!#;7$$"0HdM(>=^:!#7$!0h(GGAV%)e!#<7$$"/`V1@W_:!#6$!0-%H=ISPh!#<7$$"0K8%RAq`:!#7$!0'zg7wr#H'!#<7$$"0L"RsB'\b"!#7$!0,o5Wr![j!#<7$$"0Np`]Aib"!#7$!0tp*4tu-j!#<7$$"0QD8xU(e:!#7$!0v80#4;:f!#<7$$"0T"GPIEh:!#7$!0#f6jSnb^!#<7$$"0'=(Q;7cc"!#7$!0u'oJ%GY7$!#<7$$"0Ji/Hh*p:!#7$!0u?Q!H>X_!#=7$$"0#\)zV9\d"!#7$"0;no$3O4D!#<7$$"0a2ben)z:!#7$"0O\[`sJ#\!#<7$$"0\(\L)fAe"!#7$"0aZqp4no&!#<7$$"0W(["3_Ye"!#7$"0PZkvgX7'!#<7$$"0T#[0#[ee"!#7$"0G:ZS/J@'!#<7$$"0Rx%HV/(e"!#7$"0**y"3mz7i!#<7$$"0OsMXS#)e"!#7$"0e"GXRxBh!#<7$$"0MnudO%*e"!#7$"/$3aRRu%f!#;7$$"0w^y%z@%f"!#7$"/%R5&e+TW!#;7$$"0=O#=$***)f"!#7$"0;)*f)RK]>!#<7$$"0/2%zo_3;!#7$!.>@'**[CO!#:7$$"0Z$>"Q.Jh"!#7$!0/S+'f&fU&!#<7$$"/*zH))zwh"!#6$!0,8*p0u.h!#<7$$"0b5E?FEi"!#7$!0BhjCb^U&!#<7$$"0@TA_uvi"!#7$!0(4GCWb`M!#<7$$"0b44$[+P;!#7$"/Lr)Rx!**>!#;7$$"0e;)3t'>k"!#7$"07vd))paX%!#<7$$"0iBnyHpk"!#7$"0"*4v#)fb#e!#<7$$"0D*4YG0[;!#7$"04Y!*Qk]%f!#<7$$"0([Z0f<\;!#7$"0K*4zWb*)f!#<7$$"/0&['*)H];!#6$"02RT&3def!#<7$$"08EU-A9l"!#7$"0-TU.0E&e!#<7$$"0RxH9oOl"!#7$"0*o)\0!RAa!#<7$$"0kG<E9fl"!#7$"0R_y$*y7s%!#<7$$"0jD^-z3m"!#7$"0k"QVFj1C!#<7$$"0hA&)yVem"!#7$!/M[u#\zt%!#<7$$"03;n;*fq;!#7$!/<rdG6>J!#;7$$"0b4\aa`n"!#7$!0*4PwGQf]!#<7$$"0ZWmWExn"!#7$!0)Hr_x2Ac!#<7$$"/%z$[$)4!o"!#6$!0jrAgG)oe!#<7$$"0'oC*H%G"o"!#7$!0Ac9&*p*oe!#<7$$"0K9,DqCo"!#7$!0hkCP>ny&!#<7$$"0y")4?cOo"!#7$!06$o)=YLi&!#<7$$"0D\=:U[o"!#7$!0O*3VmD"Q&!#<7$$"/)fH2(z*o"!#6$!//VN`a9O!#;7$$"0NqS*>v%p"!#7$!/ZYs"f9"**!#<7$$"0kF0KzQq"!#7$"0^!4!)*3$>R!#<7$$"0([AGi@1<!#7$"0nI(yFT'z%!#<7$$"06Af8`&3<!#7$"0O8'>"\2T&!#<7$$"0tq(*e@(4<!#7$"0Cu"oSc3c!#<7$$"0N>O/!*3r"!#7$"0Jt#\ynHd!#<7$$"0(zY(\e?r"!#7$"0'Gi>Nasd!#<7$$"0e;8&pA8<!#7$"0[F_X#oOd!#<7$$"0Kk))R(Q=<!#7$"0db%f_$[n%!#<7$$"017k%yaB<!#7$"0z,?LR`S#!#<7$$"0pP:d#*Gt"!#7$!0f6^F%4VF!#<7$$"/(Ru$4nP<!#6$!0%zzn!HHs%!#<7$$"0rTLI\Cu"!#7$!/NPga)oj&!#;7$$"0w,@<kOu"!#7$!/Y=q[Fpc!#;7$$"0"='3/z[u"!#7$!0-V"**o5=c!#<7$$"0'=i4R4Y<!#7$!0C@a@]U[&!#<7$$"0">Qy(3tu"!#7$!0m4d?!zp_!#<7$$"0,-f^Q(\<!#7$!/"fLjtKh%!#;7$$"06AMDo@v"!#7$!0x]6M:zo$!#<7$$"0(Rzf=5h<!#7$"0T)y2Nd55!#<7$$"0AWtKjew"!#7$"0(\>aM>?M!#<7$$"0Z%*[zC1x"!#7$"0(pbN<:e]!#<7$$"0">j+h!=x"!#7$"0_;H!)Q#)H&!#<7$$"0NpjS()Hx"!#7$"00e573UY&!#<7$$"0y1@roTx"!#7$"0sT()eXQb&!#<7$$"0AWy,]`x"!#7$"/tNZJ+mb!#;7$$"0m"eB8`w<!#7$"0afpO81]&!#<7$$"/">$HErx<!#6$"0P"Hk*)oe`!#<7$$"0`c]$R*)y<!#7$"0`7$zsIU^!#<7$$"0(RzS_2!y"!#7$"0[fh%*zX&[!#<7$$"0'Gdg(H^y"!#7$"0(*f*p^1KH!#<7$$"0w^.G%=!z"!#7$"0^LX_e0*G!#=7$$"0[&4vYk%z"!#7$!0PaUi!p8@!#<7$$"/#R)p]5*z"!#6$!0m(GY[2#4%!#<7$$"0>QYDy;!=!#7$!0zIuJ-W)[!#<7$$"0>P%R9D/=!#7$!01om;>LN&!#<7$$"0oO=.Qb!=!#7$!0&GF:(\iX&!#<7$$"0=OUiCo!=!#7$!0spI%\!*oa!#<7$$"0$fV?zY2=!#7$!0EIPA&HTa!#<7$$"0oNm@6"3=!#7$!000Q!H?"R&!#<7$$"0VNG^a(3=!#7$!0^[2%4&)=`!#<7$$"0=N!4yR4=!#7$!0LCr<aXA&!#<7$$"0:H3,US"=!#7$!0"z9/w*=%R!#<7$$"07BE@'o==!#7$!0iT,x(yK=!#<7$$"0MnCgwy#=!#7$"0x#=*ziS%H!#<7$$"0kGK"z"G$=!#7$"0Aun1#[KZ!#<7$$"0&**)RAfx$=!#7$"0#pmq>@#Q&!#<7$$"0'=PB0sU=!#7$"/*Q<y,#RZ!#;7$$"0x`F#=oZ=!#7$"0"R!3UW)fH!#<7$$"04<%=*4n&=!#7$!0tOa]i4m"!#<7$$".,nj.:'=!#5$!0os3P")*)z$!#<7$$"0#\)\N(Hm=!#7$!0VKHf0>2&!#<7$$"0$o60pYn=!#7$!0)zJe3)Q@&!#<7$$"0u[_XO'o=!#7$!0`T%Qx[%G&!#<7$$"0l!Q0g!)p=!#7$!0dm$Q0&GG&!#<7$$"0c7bbv4(=!#7$!0k8())434_!#<7$$"0Qwdl9L(=!#7$!0xw:(*)\][!#<7$$"/-/cPlv=!#6$!0"=tvd%*GU!#<7$$"0LmZ(\s!)=!#7$!0")zy00)f@!#<7$$"0Y#\$>'z&)=!#7$"0AYuk*>0W!#=7$$"/2k2U=!*=!#6$"0#o<cr)Rh#!#<7$$"0%*)y@Ad%*=!#7$"0l)*p)zL$G%!#<7$$"09x'=@4(*=!#7$"0./hxzm)[!#<7$$"0Llb,7'**=!#7$"0Y=&*3$=!=&!#<7$$"0U4S'>(3!>!#7$"0x$GX'3W?&!#<7$$"0_`C">8->!#7$"0r6"Ht9Y^!#<7$$"0h(*3'=R.>!#7$"0"pCI-V1]!#<7$$"0rT$4=l/>!#7$"0>0)yud(y%!#<7$$"0@U/[*Q4>!#7$"0W7jCt:L$!#<7$$"0rU::FT">!#7$"0.IH%>f]6!#<7$$"0OrA(4^B>!#7$!0n5!G]**oL!#<7$$"0RyOzee#>!#7$!/y$zt&4wT!#;7$$"0V&3:m?G>!#7$!0uD.c&Q_Z!#<7$$"0%*)yD0QH>!#7$!0-Yq'=tV\!#<7$$"0Y#\OWbI>!#7$!0_Dx8Ro1&!#<7$$"0)f>Z$G<$>!#7$!0O)HFg4?^!#<7$$"/&**yD-H$>!#6$!0\(RHR&G5&!#<7$$"/#Rj^"pP>!#6$!0prLD:UK%!#<7$$"0*)yZx![U>!#7$!0**)p8%>(yD!#<7$$"0.1A%Qj_>!#7$"0019Az:O#!#<7$$"005l_)Gd>!#7$"0<n_@!z8T!#<7$$"0293@V>'>!#7$"0zn#\p]%)\!#<7$$"0d)e.>4j>!#7$"0>G]&e8Q]!#<7$$"02jjfSU'>!#7$"0"*=XAO`-&!#<7$$"0cP"*G*Ql>!#7$"0[TU``j%\!#<7$$"017>)z`m>!#7$"0.shq/B![!#<7$$"01huON)o>!#7$"0E'f))zsFV!#<7$$"005IvK6(>!#7$"0xMB%[4FO!#<7$$"0)oPAi&4)>!#7$!0(*ox77Yr)!#=7$$"0AVYEde)>!#7$!0"Qaw.exI!#<7$$"0b4pIe2*>!#7$!0r$H0/:]X!#<7$$"0&ea=N">*>!#7$!/1W\2O[Z!#;7$$"0;#=I(oI*>!#7$!0l28'G3$)[!#<7$$"0Z==%RA%*>!#7$!0D'*o![f_\!#<7$$"0xaM:z`*>!#7$!0O!Q9`/c\!#<7$$"03"4lV`'*>!#7$!0pGb6kM*[!#<7$$"0RFnd*o(*>!#7$!03n-agdw%!#<7$$"0pj$)yW))*>!#7$!0-blR5Zd%!#<7$$"%+?!""$!0%ytB8$HK%!#<-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7dw7$$"$+"!""$"063"3"3"3")!#;7$$"0Rxa\%*)*4"!#8$"0G!H$ev$>v!#;7$$"/$f=;7o="!#7$"0X#pGm0qq!#;7$$"/29o,c%G"!#7$"0M:rY;Ii'!#;7$$"0He;6cHQ"!#8$"0yw#ROLDi!#;7$$"0;KkR%)3["!#8$"0r0*4qLte!#;7$$"0b5@Xw;d"!#8$"0CZ&[g;!e&!#;7$$"0U%)oO'ol;!#8$"0:(=%fpaI&!#;7$$"08E_b6Hw"!#8$"0Fy!zt2[]!#;7$$"0yb6%\#)f=!#8$"0<R[,L\"[!#;7$$"0x`2F7&f>!#8$"0c)RqpL'f%!#;7$$"0iC\#pJZ?!#8$"0\J!=WX>W!#;7$$"0BX!pT;Y@!#8$"0/'f`g!eB%!#;7$$"0CZ%*G<aC#!#8$"0ou:SJg1%!#;7$$"0b5@1m5M#!#8$"0&o:AJt9R!#;7$$"0.05JCzU#!#8$"0c<,0:ny$!#;7$$"0D]+<27`#!#8$"0_'4sp"\k$!#;7$$"0['H*H,(=E!#8$"0HX3n/G`$!#;7$$"0a2:xx/s#!#8$"0P$z1ss5M!#;7$$"0(Qx%>n0"G!#8$"/(ecdm%4L!#:7$$"0^-0d4%4H!#8$"0e=m$y.0K!#;7$$"0">Q')3`.I!#8$"0#)**3=?:6$!#;7$$"0kFbgO<5$!#8$"0aZU3p&>I!#;7$$"016A6?>>$!#8$"0)\/;LxRH!#;7$$"0pPv?&>*G$!#8$"0`8Ec%GeG!#;7$$"0d9HpO-R$!#8$"0'z*y(eFyF!#;7$$"0#['Hg$>yM!#8$"0nOqmx@r#!#;7$$"0RxaZ*=tN!#8$"0W[^bCUk#!#;7$$"0oNr]H8n$!#8$"/jIA"*\xD!#:7$$"0/3;QStw$!#8$"0CU<x$R:D!#;7$$"0CZ%ReBgQ!#8$"0,0g2"3eC!#;7$$"0oNrS!QjR!#8$"0$)e)))GU(R#!#;7$$"0sV()Qgg0%!#8$"0ZExu6aM#!#;7$$"0Gc70;]:%!#8$"0Z%GW'3BH#!#;7$$"0)f>*e%oWU!#8$"0.lVX?iC#!#;7$$"0kGd)frUV!#8$"0i.N70z>#!#;7$$"/05!*e&\V%!#7$"0:lIB,V:#!#;7$$"0X*)y;t8`%!#8$"0ipQXJ06#!#;7$$"0,-/oQci%!#8$"0O+m#=Up?!#;7$$"0lHf$fKCZ!#8$"0K*HpH1G?!#;7$$"0JhA\t$>[!#8$"0n&G&eg(*)>!#;7$$"0<LmMtl"\!#8$"0X]qwc?&>!#;7$$"0oNrLoH,&!#8$"0j"\z%[g">!#;7$$"016AKX:5&!#8$"0;+c!36%)=!#;7$$"03:IakI?&!#8$"0W()e#**y[=!#;7$$"0h@VakQH&!#8$"0s'4R1I==!#;7$$"0NqSGw1R&!#8$"0Zx<-!)oy"!#;7$$"0b4>ZPL[&!#8$"09uz!f!yv"!#;7$$"0KjE"eA'e&!#8$"0V(pS0hE<!#;7$$"0kGdb>`n&!#8$"0i$y9xZ+<!#;7$$"0.05vTkx&!#8$"0B)*\2e<n"!#;7$$"0&3<aOgoe!#8$"0%394YTY;!#;7$$"017CH9%pf!#8$"/GVRwb>;!#:7$$"06@U#oRcg!#8$"0kSvQyqf"!#;7$$"0PtYxfa:'!#8$"0zvcqCAd"!#;7$$"0OrUp\6D'!#8$"0e&zy-%*[:!#;7$$"/)f>5xnM'!#7$"0^wtY\j_"!#;7$$"0MoOr_?W'!#8$"0#z^)>([/:!#;7$$"0)pR\FeLl!#8$"0yOGylS["!#;7$$"005?9HDj'!#8$"0(\62Qgi9!#;7$$"0Z$pGA$os'!#8$"0x'Hi%=FW"!#;7$$"0<Moy"3Eo!#8$"0FxwVlBU"!#;7$$"0U%)o`Ef"p!#8$"0h,]oHWS"!#;7$$"07C[!=A:q!#8$"0`a<&f7&Q"!#;7$$"0Z$po$H.6(!#8$"0vwt6FrO"!#;7$$"0X!4Qa?0s!#8$"0A^I!>j\8!#;7$$"0^,.'QI/t!#8$"007AgH=L"!#;7$$"0Pu[7xbR(!#8$"0wGQGVeJ"!#;7$$"0#QwKM0*[(!#8$"0F$*R$Q')*H"!#;7$$"0f=PQiAf(!#8$"0@zABlEG"!#;7$$"0([(\j4do(!#8$"/-pG5[n7!#:7$$"03:I&pF"y(!#8$"0bp@_>BD"!#;7$$"/">QXm%yy!#7$"0")[(3!osB"!#;7$$"0pPv^-y'z!#8$"0.EbA[PA"!#;7$$"0rU&o=.j!)!#8$"0`?W,e'47!#;7$$"0pPvKOv:)!#8$"0&)4g0#*f>"!#;7$$"0e:JsE'e#)!#8$"0@b`H6<="!#;7$$"0&**)zhMyM)!#8$"06UbK*Qp6!#;7$$"0v\*4?w]%)!#8$"047,o([b6!#;7$$"09He/YOa)!#8$"0WiJ5BK9"!#;7$$"0OrU%*\bj)!#8$"0zcXUT88"!#;7$$"0\(\fhPM()!#8$"0#puBs$)=6!#;7$$"0oNr9-O$))!#8$"0l$\itb16!#;7$$"0%)oP5$)Q#*)!#8$"0ap1I;c4"!#;7$$"0CZ%puv>!*!#8$"0jjsqJU3"!#;7$$"*[@L6*!"($"0))fD>ZL2"!#;7$$"0hAX&eu9#*!#8$"0yrIO#zh5!#;7$$"0W([Ph]-$*!#8$"06[81$*>0"!#;7$$"03:I,-LS*!#8$"0e*He*e4/"!#;7$$"08D]Vb!)\*!#8$"0pusD&zI5!#;7$$"0c6Bk$*=f*!#8$"0dvERB4-"!#;7$$"0'Hf)\1eo*!#8$"0<]Y7J7,"!#;7$$"0%pQn;f"y*!#8$"0=5VJL:+"!#;7$$"0He;MAJ))*!#8$"00$ecwa9**!#<7$$"0pQx-;i(**!#8$"0&pquH!R#)*!#<7$$"0&)p\96o+"!#7$"0F7SeNgt*!#<7$$"0oOVhMm,"!#7$"02&[+!GQk*!#<7$$"0Np))pOk-"!#7$"0=0D=XNb*!#<7$$"0:H=lM_."!#7$"0K%=-"QRZ*!#<7$$"0zd:Ycc/"!#7$"0<(*p4P8Q*!#<7$$"0F`'[pPa5!#7$"07v`EK_I*!#<7$$"/">y`wX1"!#6$"0*oG_1x<#*!#<7$$"0%zed5Ju5!#7$"0ob<O;e8*!#<7$$"08EU#G+$3"!#7$"0&H%[TiQ1*!#<7$$"0Fa[ixF4"!#7$"0&pV+XG%)*)!#<7$$"0.1#>sh-6!#7$"/wNIwd0*)!#;7$$"0U$oZ+T76!#7$"0^&*)o=gG))!#<7$$"0E^KD*[@6!#7$"0CwY]9%e()!#<7$$"0kGZC!*38"!#7$"0=t]n0po)!#<7$$"0"GcjFhS6!#7$"0J^.$)oTh)!#<7$$"0yb@5/.:"!#7$"0`+e:nGa)!#<7$$"0e:^$GFg6!#7$"0P&4kauq%)!#<7$$"0mK0I`!p6!#7$"0HWDj@#3%)!#<7$$"0sW\-Q*y6!#7$"/;Rr'H*Q$)!#;7$$"0#\)pLj))="!#7$"0=M#=E\q#)!#<7$$"0E^U@G%)>"!#7$"0yOX8&f0#)!#<7$$"/29RS627!#6$"0t!y^z`Z")!#<7$$"0BX]KUu@"!#7$"0"G(GYi&z!)!#<7$$"0&)pzt">E7!#7$"0Za4JfG-)!#<7$$"0&4>&QpjB"!#7$"0'39MJ*y&z!#<7$$"0f<vKy`C"!#7$"04*H!\e7!z!#<7$$"0X!4lDEb7!#7$"0*=jT8/Sy!#<7$$"0RympuYE"!#7$"/4)RABEy(!#;7$$"0'Hfo_\u7!#7$"/NFMIgBx!#;7$$"0Jh#>O^$G"!#7$"0;\R%p=qw!#<7$$"0(RzG6C$H"!#7$"0a\vY#R8w!#<7$$"0mJtFXLI"!#7$"0@rcc#Gbv!#<7$$"0oO$o4978!#7$"0f.t,:a](!#<7$$"0%zeb0k@8!#7$"0im1v!H_u!#<7$$"0x`(eXXJ8!#7$"0)*3D5#>)R(!#<7$$"0,,ikb5M"!#7$"0KyNq@gM(!#<7$$"0#\)>>X.N"!#7$"0nzulRiH(!#<7$$"0x`(['f1O"!#7$"0&fgN'\<C(!#<7$$"0d9pkF*p8!#7$"0nGCSxM>(!#<7$$"0$e;8K#)z8!#7$"03$fV<kUr!#<7$$"/)fp1!z)Q"!#6$"0t&)4b$>(4(!#<7$$"028m?$f)R"!#7$"0>.1zj"[q!#<7$$"0D]q><yS"!#7$"0n?R4XE+(!#<7$$"0:H[#*euT"!#7$"0k!G8"*obp!#<7$$"//3wa)oU"!#6$"0&)49!eQ5p!#<7$$"0<L;?anV"!#7$"0\m)f`ejo!#<7$$"0Lms&*eiW"!#7$"0M;CF1">o!#<7$$"0_.F%*yfX"!#7$"0$R$p=7Ux'!#<7$$"0x`<W=cY"!#7$"0828yp-t'!#<7$$"0Jh-9wWZ"!#7$"0x.(H3R!p'!#<7$$"0rTB1GY["!#7$"0(*R:Ei_k'!#<7$$"0OsC13P\"!#7$"09XnM6ag'!#<7$$"0CZkB*Q.:!#7$"03U<-XMc'!#<7$$"0;J_NbE^"!#7$"0.imDuP_'!#<7$$"0`1$*=WH_"!#7$"0t!y?IG!['!#<7$$"028Oc`=`"!#7$"0c"*R_)3Vk!#<7$$"/29$yl>a"!#6$"0N3eM'Q,k!#<7$$"0HdM(>=^:!#7$"0eX\rYQO'!#<7$$"0T"GPIEh:!#7$"0VvM=&GBj!#<7$$"0Ji/Hh*p:!#7$"0T6Bl+()G'!#<7$$"0a2ben)z:!#7$"0#GOs2x\i!#<7$$"0MnudO%*e"!#7$"0A]LI@E@'!#<7$$"0=O#=$***)f"!#7$"0/FZlMf<'!#<7$$"0/2%zo_3;!#7$"0m(f#H6)Rh!#<7$$"/*zH))zwh"!#6$"0y4@w.b5'!#<7$$"0@TA_uvi"!#7$"0*4HK]%)og!#<7$$"0b44$[+P;!#7$"/jUPRJMg!#;7$$"0iBnyHpk"!#7$"0MejU$R)*f!#<7$$"0kG<E9fl"!#7$"0Oi"zMCmf!#<7$$"0hA&)yVem"!#7$"09\&y-6Jf!#<7$$"0b4\aa`n"!#7$"0.OKaWy*e!#<7$$"0D\=:U[o"!#7$"0X#fh%H]'e!#<7$$"0NqS*>v%p"!#7$"/fm&eT6$e!#;7$$"0kF0KzQq"!#7$"0\dl=u-!e!#<7$$"0e;8&pA8<!#7$"0PM%3')**od!#<7$$"017k%yaB<!#7$"/%\,3c[t&!#;7$$"0pP:d#*Gt"!#7$"/y3E&*G/d!#;7$$"0rTLI\Cu"!#7$"04>ukkLn&!#<7$$"06AMDo@v"!#7$"0&=[;oDUc!#<7$$"0(Rzf=5h<!#7$"0u'zH?'Rh&!#<7$$"0Z%*[zC1x"!#7$"0Y1^\6Te&!#<7$$"0(RzS_2!y"!#7$"0"f!QL+[b&!#<7$$"0w^.G%=!z"!#7$"0%\I">&yBb!#<7$$"/#R)p]5*z"!#6$"0%zz0>q'\&!#<7$$"0=N!4yR4=!#7$"08Fo^"yla!#<7$$"07BE@'o==!#7$"0U+TKv"Qa!#<7$$"0MnCgwy#=!#7$"0`ZQ^L6T&!#<7$$"0&**)RAfx$=!#7$"0'4fSLN#Q&!#<7$$"0x`F#=oZ=!#7$"0Kgz3jPN&!#<7$$"04<%=*4n&=!#7$"0yCaz7!G`!#<7$$"0#\)\N(Hm=!#7$"07Is#p$4I&!#<7$$"/-/cPlv=!#6$"08.X^xZF&!#<7$$"0Y#\$>'z&)=!#7$"0^"G"\5nC&!#<7$$"0%*)y@Ad%*=!#7$"/*4nikEA&!#;7$$"0rT$4=l/>!#7$"0&y:vvJ&>&!#<7$$"0rU::FT">!#7$"0\#og(p)p^!#<7$$"0OrA(4^B>!#7$"/kjNA"\9&!#;7$$"/&**yD-H$>!#6$"0@U#H\<?^!#<7$$"0*)yZx![U>!#7$"04RtE)=&4&!#<7$$"0.1A%Qj_>!#7$"0Dhcon*o]!#<7$$"0293@V>'>!#7$"0&HQ5?;X]!#<7$$"005IvK6(>!#7$".cS-")=-&!#:7$$"0)oPAi&4)>!#7$"0ZIIXIs*\!#<7$$"0b4pIe2*>!#7$"0s$QhN(G(\!#<7$$"%+?!""$"/dw=c7]\!#;-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7dw7$$"$+"!""$!063"3"3"3")!#;7$$"0Rxa\%*)*4"!#8$!0G!H$ev$>v!#;7$$"/$f=;7o="!#7$!0X#pGm0qq!#;7$$"/29o,c%G"!#7$!0M:rY;Ii'!#;7$$"0He;6cHQ"!#8$!0yw#ROLDi!#;7$$"0;KkR%)3["!#8$!0r0*4qLte!#;7$$"0b5@Xw;d"!#8$!0CZ&[g;!e&!#;7$$"0U%)oO'ol;!#8$!0:(=%fpaI&!#;7$$"08E_b6Hw"!#8$!0Fy!zt2[]!#;7$$"0yb6%\#)f=!#8$!0<R[,L\"[!#;7$$"0x`2F7&f>!#8$!0c)RqpL'f%!#;7$$"0iC\#pJZ?!#8$!0\J!=WX>W!#;7$$"0BX!pT;Y@!#8$!0/'f`g!eB%!#;7$$"0CZ%*G<aC#!#8$!0ou:SJg1%!#;7$$"0b5@1m5M#!#8$!0&o:AJt9R!#;7$$"0.05JCzU#!#8$!0c<,0:ny$!#;7$$"0D]+<27`#!#8$!0_'4sp"\k$!#;7$$"0['H*H,(=E!#8$!0HX3n/G`$!#;7$$"0a2:xx/s#!#8$!0P$z1ss5M!#;7$$"0(Qx%>n0"G!#8$!/(ecdm%4L!#:7$$"0^-0d4%4H!#8$!0e=m$y.0K!#;7$$"0">Q')3`.I!#8$!0#)**3=?:6$!#;7$$"0kFbgO<5$!#8$!0aZU3p&>I!#;7$$"016A6?>>$!#8$!0)\/;LxRH!#;7$$"0pPv?&>*G$!#8$!0`8Ec%GeG!#;7$$"0d9HpO-R$!#8$!0'z*y(eFyF!#;7$$"0#['Hg$>yM!#8$!0nOqmx@r#!#;7$$"0RxaZ*=tN!#8$!0W[^bCUk#!#;7$$"0oNr]H8n$!#8$!/jIA"*\xD!#:7$$"0/3;QStw$!#8$!0CU<x$R:D!#;7$$"0CZ%ReBgQ!#8$!0,0g2"3eC!#;7$$"0oNrS!QjR!#8$!0$)e)))GU(R#!#;7$$"0sV()Qgg0%!#8$!0ZExu6aM#!#;7$$"0Gc70;]:%!#8$!0Z%GW'3BH#!#;7$$"0)f>*e%oWU!#8$!0.lVX?iC#!#;7$$"0kGd)frUV!#8$!0i.N70z>#!#;7$$"/05!*e&\V%!#7$!0:lIB,V:#!#;7$$"0X*)y;t8`%!#8$!0ipQXJ06#!#;7$$"0,-/oQci%!#8$!0O+m#=Up?!#;7$$"0lHf$fKCZ!#8$!0K*HpH1G?!#;7$$"0JhA\t$>[!#8$!0n&G&eg(*)>!#;7$$"0<LmMtl"\!#8$!0X]qwc?&>!#;7$$"0oNrLoH,&!#8$!0j"\z%[g">!#;7$$"016AKX:5&!#8$!0;+c!36%)=!#;7$$"03:IakI?&!#8$!0W()e#**y[=!#;7$$"0h@VakQH&!#8$!0s'4R1I==!#;7$$"0NqSGw1R&!#8$!0Zx<-!)oy"!#;7$$"0b4>ZPL[&!#8$!09uz!f!yv"!#;7$$"0KjE"eA'e&!#8$!0V(pS0hE<!#;7$$"0kGdb>`n&!#8$!0i$y9xZ+<!#;7$$"0.05vTkx&!#8$!0B)*\2e<n"!#;7$$"0&3<aOgoe!#8$!0%394YTY;!#;7$$"017CH9%pf!#8$!/GVRwb>;!#:7$$"06@U#oRcg!#8$!0kSvQyqf"!#;7$$"0PtYxfa:'!#8$!0zvcqCAd"!#;7$$"0OrUp\6D'!#8$!0e&zy-%*[:!#;7$$"/)f>5xnM'!#7$!0^wtY\j_"!#;7$$"0MoOr_?W'!#8$!0#z^)>([/:!#;7$$"0)pR\FeLl!#8$!0yOGylS["!#;7$$"005?9HDj'!#8$!0(\62Qgi9!#;7$$"0Z$pGA$os'!#8$!0x'Hi%=FW"!#;7$$"0<Moy"3Eo!#8$!0FxwVlBU"!#;7$$"0U%)o`Ef"p!#8$!0h,]oHWS"!#;7$$"07C[!=A:q!#8$!0`a<&f7&Q"!#;7$$"0Z$po$H.6(!#8$!0vwt6FrO"!#;7$$"0X!4Qa?0s!#8$!0A^I!>j\8!#;7$$"0^,.'QI/t!#8$!007AgH=L"!#;7$$"0Pu[7xbR(!#8$!0wGQGVeJ"!#;7$$"0#QwKM0*[(!#8$!0F$*R$Q')*H"!#;7$$"0f=PQiAf(!#8$!0@zABlEG"!#;7$$"0([(\j4do(!#8$!/-pG5[n7!#:7$$"03:I&pF"y(!#8$!0bp@_>BD"!#;7$$"/">QXm%yy!#7$!0")[(3!osB"!#;7$$"0pPv^-y'z!#8$!0.EbA[PA"!#;7$$"0rU&o=.j!)!#8$!0`?W,e'47!#;7$$"0pPvKOv:)!#8$!0&)4g0#*f>"!#;7$$"0e:JsE'e#)!#8$!0@b`H6<="!#;7$$"0&**)zhMyM)!#8$!06UbK*Qp6!#;7$$"0v\*4?w]%)!#8$!047,o([b6!#;7$$"09He/YOa)!#8$!0WiJ5BK9"!#;7$$"0OrU%*\bj)!#8$!0zcXUT88"!#;7$$"0\(\fhPM()!#8$!0#puBs$)=6!#;7$$"0oNr9-O$))!#8$!0l$\itb16!#;7$$"0%)oP5$)Q#*)!#8$!0ap1I;c4"!#;7$$"0CZ%puv>!*!#8$!0jjsqJU3"!#;7$$"*[@L6*!"($!0))fD>ZL2"!#;7$$"0hAX&eu9#*!#8$!0yrIO#zh5!#;7$$"0W([Ph]-$*!#8$!06[81$*>0"!#;7$$"03:I,-LS*!#8$!0e*He*e4/"!#;7$$"08D]Vb!)\*!#8$!0pusD&zI5!#;7$$"0c6Bk$*=f*!#8$!0dvERB4-"!#;7$$"0'Hf)\1eo*!#8$!0<]Y7J7,"!#;7$$"0%pQn;f"y*!#8$!0=5VJL:+"!#;7$$"0He;MAJ))*!#8$!00$ecwa9**!#<7$$"0pQx-;i(**!#8$!0&pquH!R#)*!#<7$$"0&)p\96o+"!#7$!0F7SeNgt*!#<7$$"0oOVhMm,"!#7$!02&[+!GQk*!#<7$$"0Np))pOk-"!#7$!0=0D=XNb*!#<7$$"0:H=lM_."!#7$!0K%=-"QRZ*!#<7$$"0zd:Ycc/"!#7$!0<(*p4P8Q*!#<7$$"0F`'[pPa5!#7$!07v`EK_I*!#<7$$"/">y`wX1"!#6$!0*oG_1x<#*!#<7$$"0%zed5Ju5!#7$!0ob<O;e8*!#<7$$"08EU#G+$3"!#7$!0&H%[TiQ1*!#<7$$"0Fa[ixF4"!#7$!0&pV+XG%)*)!#<7$$"0.1#>sh-6!#7$!/wNIwd0*)!#;7$$"0U$oZ+T76!#7$!0^&*)o=gG))!#<7$$"0E^KD*[@6!#7$!0CwY]9%e()!#<7$$"0kGZC!*38"!#7$!0=t]n0po)!#<7$$"0"GcjFhS6!#7$!0J^.$)oTh)!#<7$$"0yb@5/.:"!#7$!0`+e:nGa)!#<7$$"0e:^$GFg6!#7$!0P&4kauq%)!#<7$$"0mK0I`!p6!#7$!0HWDj@#3%)!#<7$$"0sW\-Q*y6!#7$!/;Rr'H*Q$)!#;7$$"0#\)pLj))="!#7$!0=M#=E\q#)!#<7$$"0E^U@G%)>"!#7$!0yOX8&f0#)!#<7$$"/29RS627!#6$!0t!y^z`Z")!#<7$$"0BX]KUu@"!#7$!0"G(GYi&z!)!#<7$$"0&)pzt">E7!#7$!0Za4JfG-)!#<7$$"0&4>&QpjB"!#7$!0'39MJ*y&z!#<7$$"0f<vKy`C"!#7$!04*H!\e7!z!#<7$$"0X!4lDEb7!#7$!0*=jT8/Sy!#<7$$"0RympuYE"!#7$!/4)RABEy(!#;7$$"0'Hfo_\u7!#7$!/NFMIgBx!#;7$$"0Jh#>O^$G"!#7$!0;\R%p=qw!#<7$$"0(RzG6C$H"!#7$!0a\vY#R8w!#<7$$"0mJtFXLI"!#7$!0@rcc#Gbv!#<7$$"0oO$o4978!#7$!0f.t,:a](!#<7$$"0%zeb0k@8!#7$!0im1v!H_u!#<7$$"0x`(eXXJ8!#7$!0)*3D5#>)R(!#<7$$"0,,ikb5M"!#7$!0KyNq@gM(!#<7$$"0#\)>>X.N"!#7$!0nzulRiH(!#<7$$"0x`(['f1O"!#7$!0&fgN'\<C(!#<7$$"0d9pkF*p8!#7$!0nGCSxM>(!#<7$$"0$e;8K#)z8!#7$!03$fV<kUr!#<7$$"/)fp1!z)Q"!#6$!0t&)4b$>(4(!#<7$$"028m?$f)R"!#7$!0>.1zj"[q!#<7$$"0D]q><yS"!#7$!0n?R4XE+(!#<7$$"0:H[#*euT"!#7$!0k!G8"*obp!#<7$$"//3wa)oU"!#6$!0&)49!eQ5p!#<7$$"0<L;?anV"!#7$!0\m)f`ejo!#<7$$"0Lms&*eiW"!#7$!0M;CF1">o!#<7$$"0_.F%*yfX"!#7$!0$R$p=7Ux'!#<7$$"0x`<W=cY"!#7$!0828yp-t'!#<7$$"0Jh-9wWZ"!#7$!0x.(H3R!p'!#<7$$"0rTB1GY["!#7$!0(*R:Ei_k'!#<7$$"0OsC13P\"!#7$!09XnM6ag'!#<7$$"0CZkB*Q.:!#7$!03U<-XMc'!#<7$$"0;J_NbE^"!#7$!0.imDuP_'!#<7$$"0`1$*=WH_"!#7$!0t!y?IG!['!#<7$$"028Oc`=`"!#7$!0c"*R_)3Vk!#<7$$"/29$yl>a"!#6$!0N3eM'Q,k!#<7$$"0HdM(>=^:!#7$!0eX\rYQO'!#<7$$"0T"GPIEh:!#7$!0VvM=&GBj!#<7$$"0Ji/Hh*p:!#7$!0T6Bl+()G'!#<7$$"0a2ben)z:!#7$!0#GOs2x\i!#<7$$"0MnudO%*e"!#7$!0A]LI@E@'!#<7$$"0=O#=$***)f"!#7$!0/FZlMf<'!#<7$$"0/2%zo_3;!#7$!0m(f#H6)Rh!#<7$$"/*zH))zwh"!#6$!0y4@w.b5'!#<7$$"0@TA_uvi"!#7$!0*4HK]%)og!#<7$$"0b44$[+P;!#7$!/jUPRJMg!#;7$$"0iBnyHpk"!#7$!0MejU$R)*f!#<7$$"0kG<E9fl"!#7$!0Oi"zMCmf!#<7$$"0hA&)yVem"!#7$!09\&y-6Jf!#<7$$"0b4\aa`n"!#7$!0.OKaWy*e!#<7$$"0D\=:U[o"!#7$!0X#fh%H]'e!#<7$$"0NqS*>v%p"!#7$!/fm&eT6$e!#;7$$"0kF0KzQq"!#7$!0\dl=u-!e!#<7$$"0e;8&pA8<!#7$!0PM%3')**od!#<7$$"017k%yaB<!#7$!/%\,3c[t&!#;7$$"0pP:d#*Gt"!#7$!/y3E&*G/d!#;7$$"0rTLI\Cu"!#7$!04>ukkLn&!#<7$$"06AMDo@v"!#7$!0&=[;oDUc!#<7$$"0(Rzf=5h<!#7$!0u'zH?'Rh&!#<7$$"0Z%*[zC1x"!#7$!0Y1^\6Te&!#<7$$"0(RzS_2!y"!#7$!0"f!QL+[b&!#<7$$"0w^.G%=!z"!#7$!0%\I">&yBb!#<7$$"/#R)p]5*z"!#6$!0%zz0>q'\&!#<7$$"0=N!4yR4=!#7$!08Fo^"yla!#<7$$"07BE@'o==!#7$!0U+TKv"Qa!#<7$$"0MnCgwy#=!#7$!0`ZQ^L6T&!#<7$$"0&**)RAfx$=!#7$!0'4fSLN#Q&!#<7$$"0x`F#=oZ=!#7$!0Kgz3jPN&!#<7$$"04<%=*4n&=!#7$!0yCaz7!G`!#<7$$"0#\)\N(Hm=!#7$!07Is#p$4I&!#<7$$"/-/cPlv=!#6$!08.X^xZF&!#<7$$"0Y#\$>'z&)=!#7$!0^"G"\5nC&!#<7$$"0%*)y@Ad%*=!#7$!/*4nikEA&!#;7$$"0rT$4=l/>!#7$!0&y:vvJ&>&!#<7$$"0rU::FT">!#7$!0\#og(p)p^!#<7$$"0OrA(4^B>!#7$!/kjNA"\9&!#;7$$"/&**yD-H$>!#6$!0@U#H\<?^!#<7$$"0*)yZx![U>!#7$!04RtE)=&4&!#<7$$"0.1A%Qj_>!#7$!0Dhcon*o]!#<7$$"0293@V>'>!#7$!0&HQ5?;X]!#<7$$"005IvK6(>!#7$!.cS-")=-&!#:7$$"0)oPAi&4)>!#7$!0ZIIXIs*\!#<7$$"0b4pIe2*>!#7$!0s$QhN(G(\!#<7$$"%+?!""$!/dw=c7]\!#;-%&COLORG6&%$RGBG$""!!""$"#5!""$"#5!""-%%VIEWG6$;$"$+"!""$"%+?!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$!e!""-%)BOUNDS_YG6#$"#!*!""-%-BOUNDS_WIDTHG6#$"%!G$!""-%.BOUNDS_HEIGHTG6#$"%5Q!""-%)CHILDRENG6"

Figura 5.5 Confirma\303\247\303\243o gr\303\241fica da inequa\303\247\303\243o em (5.1)

Agora, como:

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwmSSJ4R0YoIiIiRi0hIiJGLSwoKiQpRiwiIiNGLUYtRixGLUYtRi1GLi9GLEkpaW5maW5pdHlHRiYiIiE=

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJComLCZJInhHRigiIiJGLiEiIkYuLCgqJClGLSIiI0YuRi5GLUYuRi5GLkYvRi8vRi1JKWluZmluaXR5R0YmIiIh

O Teorema do Confronto nos diz que:

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKC1JJHNpbkdGJTYjSSJ4R0YoIiIiLCZGLkYvRi8hIiJGLywoKiQpRi4iIiNGL0YvRi5GL0YvRi9GMS9GLkkpaW5maW5pdHlHRiYiIiE=

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>

with(RandomTools): randomize(): f1_fn2:= Generate(choose([sin(x),cos(x)])): nn3 := Generate(integer(range=1..6)): nn4 := Generate(integer(range=1..5)): #if (nn3 > nn4) then # nnn := nn3: # nn3 := nn4; # nn4 := nnn; #fi: n_fn2 := sort(Generate(polynom(integer(range=1..20),x,degree=nn3)),x): d_fn2 := sort(Generate(polynom(integer(range=1..20),x,degree=nn4)),x): s := Limit(n_fn2/d_fn2,x=infinity): ss := Limit(-n_fn2/d_fn2,x=infinity): value(s); value(ss); fn2 := Limit(f1_fn2*n_fn2/d_fn2,x=infinity); if value(s) <> value(ss) then #value(fn2); ans2 := dne; else ans2 := value(fn2); end if; if ans2 = infinity then ans2 := `∞` end if;

SSlpbmZpbml0eUclKnByb3RlY3RlZEc=

LCRJKWluZmluaXR5RyUqcHJvdGVjdGVkRyEiIg==

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCooLUkkY29zR0YkNiNJInhHRiciIiIsMCokRi0iIiciIzYqJEYtIiImIiM8KiRGLSIiJSIjOiokRi0iIiQiIz4qJEYtIiIjRjJGLSIjOCIiKUYuRi4sKkY5IiM3RjxGP0YtIiM9Ri5GLiEiIi9GLUkpaW5maW5pdHlHRiU=

SSRkbmVHNiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 5.2</Text-field>

Encontre o seguinte limite: `$fn2`. Se o limite \303\251 indefinido, digite sua resposta como dne. Se o limite for infinito, digite sua resposta como infinito.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=ans2;

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

rr1 := `$RESPONSE`; if rr1 = infinity then rr1 := `∞` end if: evalb(`$ANSWER`-rr1=0);

<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>

Use the Squeeze Theorem.

Find `$s` and `$ss`.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext></mtext><mtext> </mtext><mtext>Find </mtext><mtext></mtext><mrow><mrow><munder><mo mathcolor='#909090' lspace='0.0em' rspace='0.1666667em' movablelimits='true'>lim</mo><mrow><mi>x</mi><mo lspace='0.0em' rspace='0.0em'>&rarr;</mo><mi>&infin;</mi></mrow></munder><mspace height='0.0ex' width='0.4em' depth='0.0ex' linebreak='auto'/><mfrac><mrow><mrow><mrow><mn>11</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>6</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>17</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>5</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>15</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>4</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>19</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>11</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>13</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>8</mn></mrow></mrow><mrow><mrow><mrow><mn>12</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>8</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>18</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>1</mn></mrow></mrow></mfrac></mrow></mrow><mtext></mtext><mtext> and </mtext><mtext></mtext><mrow><mrow><munder><mo mathcolor='#909090' lspace='0.0em' rspace='0.1666667em' movablelimits='true'>lim</mo><mrow><mi>x</mi><mo lspace='0.0em' rspace='0.0em'>&rarr;</mo><mi>&infin;</mi></mrow></munder><mspace height='0.0ex' width='0.4em' depth='0.0ex' linebreak='auto'/><mfenced open='(' close=')' separators=','><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mfrac><mrow><mrow><mrow><mn>11</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>6</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>17</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>5</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>15</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>4</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>19</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>11</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>13</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>8</mn></mrow></mrow><mrow><mrow><mrow><mn>12</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>8</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mrow><mn>18</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>1</mn></mrow></mrow></mfrac></mrow></mfenced></mrow></mrow><mtext></mtext><mtext>.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea1`, `value`); ANSWER := ans2; rr1 := eval(parse(StudentResponse));if rr1 = infinity then rr1 := `∞` end if: if evalb(ANSWER-rr1=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>dne</mi></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>dne</mi></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Hyperlink linktarget="Wks:../../Dicion\303\241rio/N/negative -.mw" hyperlink="true" encoding="UTF-8"></Hyperlink>Limites em Menos Infinito</Text-field>

Limites em menos infinito podem ser convertidos em limites no infinito pela simples troca de vari\303\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

Os limites:

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

podem ser avaliados somente quando 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 \303\251 definido. Isto significa que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= deve ser ou um n\303\272mero inteiro ou um n\303\272mero racional com um denominador \303\255mpar . O gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GOVEnaXRhbGljRictRiw2JVEia0YnRkNGRi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZSLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA== para valores negativos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 intimamente relacionado com o gr\303\241fico correspondente para valores positivos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, mas a exata rela\303\247\303\243o depende se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJrRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw== \303\251 uma fun\303\247\303\243o par ou \303\255mpar.

Figura 5.6 mostra o gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GOVEnaXRhbGljRictRiw2JVEia0YnRkNGRi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZSLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA== para v\303\241rios valores positivos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=.

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

-%%PLOTG6*-%'CURVESG6%7dw7$$!$+"!""$"#5!""7$$!0u[(\RUZ**!#9$"#5!""7$$!0uZ&4yn,**!#9$"#5!""7$$!0E_/\J-&)*!#9$"#5!""7$$!0ze<:W%)z*!#9$"#5!""7$$!0BY#\H!pu*!#9$"#5!""7$$!0#Rycw6*p*!#9$"#5!""7$$!0OrUvQ'\'*!#9$"#5!""7$$!0c7Dgn%)f*!#9$"#5!""7$$!0V'Gd0YZ&*!#9$"#5!""7$$!0a3<a$*\\*!#9$"#5!""7$$!0:Hec!y[%*!#9$"#5!""7$$!0^-0qbnR*!#9$"#5!""7$$!//3;s^W$*!#8$"#5!""7$$!0#Rycd<%H*!#9$"#5!""7$$!0sW*))3Y[#*!#9$"#5!""7$$!0CZ%*[,T>*!#9$"#5!""7$$!0pQx%>0["*!#9$"#5!""7$$!04<MQ&[%4*!#9$"#5!""7$$!0W([(*)pq/*!#9$"#5!""7$$!0OsWfZ]**)!#9$"#5!""7$$!0**)zf+^X*)!#9$"#5!""7$$!0)f>RG#Q*))!#9$"#5!""7$$!0Ryc$yNY))!#9$"#5!""7$$!0V&3</;&z)!#9$"#5!""7$$!/(Rzo!)>u)!#8$"#5!""7$$!0$pQxvo&p)!#9$"#5!""7$$!0u[(\(*oX')!#9$"#5!""7$$!0a2:5PSf)!#9$"#5!""7$$!0c6B10Na)!#9$"#5!""7$$!//3;Fh%\)!#8$"#5!""7$$!0a2:5E.W)!#9$"#5!""7$$!/">Q;Z:R)!#8$"#5!""7$$!/4=O_YR$)!#8$"#5!""7$$!0AW)o7F#H)!#9$"#5!""7$$!0#\)pzv1C)!#9$"#5!""7$$!0Z%*)y%G@>)!#9$"#5!""7$$!03;Ka#QT")!#9$"#5!""7$$!0*yd:"p<4)!#9$"#5!""7$$!0(Qxa%G)R!)!#9$"#5!""7$$!0jD^U.)*)z!#9$"#5!""7$$!0=NqgX'Qz!#9$"#5!""7$$!0a2:S6z)y!#9$"#5!""7$$!0Ryc$>HTy!#9$"#5!""7$$!0<Mowgyy(!#9$"#5!""7$$!0JiCHr+u(!#9$"#5!""7$$!08E_u<"*o(!#9$"#5!""7$$!0)\**)p[.k(!#9$"#5!""7$$!0_.2%p>'e(!#9$"#5!""7$$!0#\)p\0$Rv!#9$"#5!""7$$!0sW*)G$3'[(!#9$"#5!""7$$!/17CqdPu!#8$"#5!""7$$!0MnMz=XQ(!#9$"#5!""7$$!0%yc8&Q(Qt!#9$"#5!""7$$!0'Hf=,g'G(!#9$"#5!""7$$!03:I+PiB(!#9$"#5!""7$$!0@U%)y1f=(!#9$"#5!""7$$!0C['H<wNr!#9$"#5!""7$$!0<Lm-)e(3(!#9$"#5!""7$$!0X*)y(4^Nq!#9$"#5!""7$$!0'=Pux(e)p!#9$"#5!""7$$!07C[;TO$p!#9$"#5!""7$$!0OrUXaj)o!#9$"#5!""7$$!0nMpy$4Mo!#9$"#5!""7$$!0'=Pur.%y'!#9$"#5!""7$$!0-05S-Tt'!#9$"#5!""7$$!0U$oO`%>o'!#9$"#5!""7$$!0">Qwn!Rj'!#9$"#5!""7$$!0*zf>(3Ze'!#9$"#5!""7$$!0[&4>#)QIl!#9$"#5!""7$$!0Qw_X07['!#9$"#5!""7$$!0<Mo'o!4V'!#9$"#5!""7$$!0&**)z\a(zj!#9$"#5!""7$$!0V&3<btKj!#9$"#5!""7$$!0:Ig![h#G'!#9$"#5!""7$$!0V&3<c(GB'!#9$"#5!""7$$!0kGd9q'zh!#9$"#5!""7$$!0b5@i=F8'!#9$"#5!""7$$!0w_0JY&yg!#9$"#5!""7$$!/%ze(*f'Hg!#8$"#5!""7$$!03:I]*G")f!#9$"#5!""7$$!0kFbqv#Hf!#9$"#5!""7$$!0a2:]^q(e!#9$"#5!""7$$!0rU&3_`He!#9$"#5!""7$$!//3;]2zd!#8$"#5!""7$$!)3$)Hd!"($"#5!""7$$!0E^-b\kn&!#9$"#5!""7$$!0>Qw#*f-j&!#9$"#5!""7$$!0<MoY4sd&!#9$"#5!""7$$!0iBZCRt_&!#9$"#5!""7$$!0'Gd92&zZ&!#9$"#5!""7$$!0Rxa*G_Ga!#9$"#5!""7$$!0sV(['4"y`!#9$"#5!""7$$!0ze<XsYK&!#9$"#5!""7$$!0Pu[xvcF&!#9$"#5!""7$$!0e;Lw4tA&!#9$"#5!""7$$!0#['HH2c<&!#9$"#5!""7$$!0'=Put,C^!#9$"#5!""7$$!0(RzeBrx]!#9$"#5!""7$$!0AV'G2'G-&!#9$"#5!""7$$!/29GM'p(\!#8$"#5!""7$$!/&**)z8GB\!#8$"#5!""7$$!0jE`1Z?([!#9$"#5!""7$$!0jD^#4IE[!#9$"#5!""7$$!0:Igga[x%!#9$"#5!""7$$!0oOtEnIs%!#9$"#5!""7$$!07C[1E:n%!#9$"#5!""7$$!0"=Os2uBY!#9$"#5!""7$$!0D\)p=EuX!#9$"#5!""7$$!0X!4=24BX!#9$"#5!""7$$!0KkGn$3sW!#9$"#5!""7$$!0V'Gdmh>W!#9$"#5!""7$$!0/29o.MP%!#9$"#5!""7$$!//3;)y8K%!#8$"#5!""7$$!0He;LS"pU!#9$"#5!""7$$!0"=Os))z=U!#9$"#5!""7$$!0hAX+%3tT!#9$"#5!""7$$!08D]gC(=T!#9$"#5!""7$$!0e;L1vE2%!#9$"#5!""7$$!0(\**)\3">S!#9$"#5!""7$$!0LlI,$prR!#9$"#5!""7$$!0D]+rq'>R!#9$"#5!""7$$!0)oPvJ8qQ!#9$"#5!""7$$!0(QxafW=Q!#9$"#5!""7$$!0Gc7&4)4x$!#9$"#5!""7$$!0KjE`$y>P!#9$"#5!""7$$!0f<N!QgmO!#9$"#5!""7$$!0#['Hp5.i$!#9$"#5!""7$$!0jE`'GJqN!#9$"#5!""7$$!0V&3<-m=N!#9$"#5!""7$$!0X*)y<G"oM!#9$"#5!""7$$!0He;$eB>M!#9$"#5!""7$$!0V&3<#\\O$!#9$"#5!""7$$!0*pRz-<;L!#9$"#5!""7$$!0ze<N)3kK!#9$"#5!""7$$!06AWQ%*o@$!#9$"#5!""7$$!0"Gc7*)HlJ!#9$"#5!""7$$!0OsWf^n6$!#9$"#5!""7$$!0(Rzec+mI!#9$"#5!""7$$!0yb6B#R;I!#9$"#5!""7$$!0w^.d^W'H!#9$"#5!""7$$!0_.2aEW"H!#9$"#5!""7$$!028EsoK'G!#9$"#5!""7$$!0V&3<X`7G!#9$"#5!""7$$!0Gc70:fw#!#9$"#5!""7$$!017C)Q[7F!#9$"#5!""7$$!/-/3WpkE!#8$"#5!""7$$!0-/3'3u8E!#9$"#5!""7$$!0'Gd9=(\c#!#9$"#5!""7$$!0T"Gc+#3^#!#9$"#5!""7$$!0"Gc7'GRY#!#9$"#5!""7$$!0hAXS12T#!#9$"#5!""7$$!0\)pR,?iB!#9$"#5!""7$$!0BX!4>94B!#9$"#5!""7$$!0tX"H;OjA!#9$"#5!""7$$!0&3<MKA6A!#9$"#5!""7$$!0'Hf=,'3;#!#9$"#5!""7$$!/,-/*H06#!#8$"#5!""7$$!08E_%[Qg?!#9$"#5!""7$$!006A96A,#!#9$"#5!""7$$!0MnM4M,'>!#9$"#5!""7$$!0v\**)3]5>!#9$"#5!""7$$!0,-/Gk#e=!#9$"#5!""7$$!0D\)pv(4"=!#9$"#5!""7$$!0c7D!pre<!#9$"#5!""7$$!0v\**Gg'3<!#9$"#5!""7$$!0"He;bse;!#9$"#5!""7$$!0JhAXolg"!#9$"#5!""7$$!/)f>*)H&e:!#8$"#5!""7$$!0)e<N=L4:!#9$"#5!""7$$!0PtYL6]X"!#9$"#5!""7$$!0Fa3dGeS"!#9$"#5!""7$$!017C)*HbN"!#9$"#5!""7$$!0%yc8wP/8!#9$"#5!""7$$!0KjEjetD"!#9$"#5!""7$$!0/3;#zB27!#9$"#5!""7$$!0KjEt)\d6!#9$"#5!""7$$!0`18E$H/6!#9$"#5!""7$$!0W)oP<Md5!#9$"#5!""7$$!0lIhUpJ+"!#9$"#5!""7$$!0'Gd94$Ga*!#:$"#5!""7$$!0kHf=E"f!*!#:$"#5!""7$$!0Eb5@))*Q&)!#:$"#5!""7$$!0Fa3<Yn,)!#:$"#5!""7$$!0.17C$eTv!#:$"#5!""7$$!0"He;8)p.(!#:$"#5!""7$$!0*)yd:RXa'!#:$"#5!""7$$!0X"Hems5g!#:$"#5!""7$$!/3;K/$)[b!#9$"#5!""7$$!/17CeK=]!#9$"#5!""7$$!01:IgB'>X!#:$"#5!""7$$!0_2:IQd-%!#:$"#5!""7$$!0w_06g9`$!#:$"#5!""7$$!03;KkFt-$!#:$"#5!""7$$!0$oOtc&H\#!#:$"#5!""7$$!0hAX!*))H+#!#:$"#5!""7$$!0sW*)yG$>:!#:$"#5!""7$$!07Fa3/B+"!#:$"#5!""7$$!/\(\**[S'[!#:$"#5!""7$$""!!""$"#5!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q$k=06"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7\z7$$!$+"!""$!""!""7$$!*&RUZ**!")$!0N6NR&G05!#:7$$!*"yn,**!")$!0Lu9&)H*45!#:7$$!*\J-&)*!")$!/EanX?:5!#97$$!+_TW)z*!"*$!0^))*)=q0-"!#:7$$!+\H!pu*!"*$!0V#>?p'f-"!#:7$$!+dw6*p*!"*$!08t+i@5."!#:7$$!+a(Q'\'*!"*$!0DiSA3j."!#:7$$!+-wY)f*!"*$!/t.pH$=/"!#97$$!+d0YZ&*!"*$!0isH$*)RZ5!#:7$$!+UN*\\*!"*$!0HJOg'=`5!#:7$$!+m0y[%*!"*$!0QgniP$e5!#:7$$!)dv'R*!"($!0m.C3(>k5!#:7$$!+;s^W$*!"*$!0bDRCY,2"!#:7$$!+dd<%H*!"*$!0JM*RE%f2"!#:7$$!+*)3Y[#*!"*$!0v1D*4E"3"!#:7$$!*\,T>*!")$!/wtiQl(3"!#97$$!+[>0["*!"*$!0,QS!*GJ4"!#:7$$!+$Q&[%4*!"*$!0;B)Quc*4"!#:7$$!+)*)pq/*!"*$!0E\kCI`5"!#:7$$!+&fZ]**)!"*$!0$)ed&Gs66!#:7$$!*15b%*)!")$!0P@9Czy6"!#:7$$!+RG#Q*))!"*$!0bhL*ePC6!#:7$$!+OyNY))!"*$!0E)p:(3/8"!#:7$$!+</;&z)!"*$!0Q&RE*))p8"!#:7$$!+)o!)>u)!"*$!/Q.Cb!R9"!#97$$!+xvo&p)!"*$!0"3'zJ&**\6!#:7$$!*v*oX')!")$!0D/ZrXm:"!#:7$$!+-r.%f)!"*$!0i+**[(fj6!#:7$$!+i]]V&)!"*$!0%>t)yz/<"!#:7$$!+;Fh%\)!"*$!/w'fq;s<"!#97$$!+-hKS%)!"*$!0Z_dM)y%="!#:7$$!+kra"R)!"*$!0pv9Ov;>"!#:7$$!+O_YR$)!"*$!0Cq_l<"*>"!#:7$$!+p7F#H)!"*$!0uGs@Uf?"!#:7$$!+(zv1C)!"*$!07x$4F\87!#:7$$!+z%G@>)!"*$!0OP/)Ro?7!#:7$$!+VDQT")!"*$!0%RV3EHG7!#:7$$!+;"p<4)!"*$!0i3SpBeB"!#:7$$!+b%G)R!)!"*$!0wdHj2QC"!#:7$$!+DM!)*)z!"*$!06-"[_f^7!#:7$$!+2ckQz!"*$!0&z"[rg'f7!#:7$$!+-9"z)y!"*$!065#=Fwn7!#:7$$!+O>HTy!"*$!0F\-0+`F"!#:7$$!+n2'yy(!"*$!0'H&Qm\SG"!#:7$$!+$Hr+u(!"*$!0())pjx(>H"!#:7$$!+Xx6*o(!"*$!0G\ZKR0I"!#:7$$!+*p[.k(!"*$!0OckyS)38!#:7$$!+Tp>'e(!"*$!00k![N==8!#:7$$!+(\0$Rv!"*$!0t!))=@QE8!#:7$$!+*G$3'[(!"*$!/Wj9?"eL"!#97$$!+CqdPu!"*$!0m55*Q_W8!#:7$$!+%z=XQ(!"*$!09q$zV=a8!#:7$$!+9&Q(Qt!"*$!/"Q$3?ji8!#97$$!+>,g'G(!"*$!0"pde@Qs8!#:7$$!+.qBOs!"*$!0215tL>Q"!#:7$$!+*y1f=(!"*$!/N[=Gh"R"!#97$$!*thd8(!")$!0EdP3#R,9!#:7$$!+F!)e(3(!"*$!0VE1A<4T"!#:7$$!+y4^Nq!"*$!0O[$p3O@9!#:7$$!+ux(e)p!"*$!0-i<Mf9V"!#:7$$!+l6kLp!"*$!0sA%eOCU9!#:7$$!+aWN')o!"*$!0nK3:Z@X"!#:7$$!+(y$4Mo!"*$!0')\[z^KY"!#:7$$!+ur.%y'!"*$!0w"\E&[SZ"!#:7$$!+,C5Mn!"*$!0>vN!*y\["!#:7$$!+P`%>o'!"*$!0#\of,d'\"!#:7$$!+wn!Rj'!"*$!0')>^P2u]"!#:7$$!*s3Ze'!")$!0v"*>1q'=:!#:7$$!+>#)QIl!"*$!0M\(HDIJ:!#:7$$!+ba?"['!"*$!0WC7&G#Ha"!#:7$$!+no!4V'!"*$!0b[Bk!*\b"!#:7$$!+)\a(zj!"*$!0cC[Veuc"!#:7$$!+<btKj!"*$!0otDU'4z:!#:7$$!+1[h#G'!"*$!0JyO&Rp"f"!#:7$$!+<c(GB'!"*$!0iUj)eR/;!#:7$$!+Y,nzh!"*$!0y`$[$4#=;!#:7$$!+A'=F8'!"*$!0X#y3#)fI;!#:7$$!+6jayg!"*$!0=z@=I^k"!#:7$$!+w*f'Hg!"*$!0Y8;Jo%e;!#:7$$!+.&*G")f!"*$!0pw^G!)=n"!#:7$$!+1dFHf!"*$!/kpOma'o"!#97$$!+-:0xe!"*$!0')yz\L:q"!#:7$$!+4_`He!"*$!0o"*\i-ar"!#:7$$!+;]2zd!"*$!0rGAs!QI<!#:7$$!)3$)Hd!"($!07xKB__u"!#:7$$!*b\kn&!")$!0J+-ck;w"!#:7$$!+G*f-j&!"*$!0hKQ$p6w<!#:7$$!+n%4sd&!"*$!0e%Hs8,$z"!#:7$$!+X#Rt_&!"*$!/6r`()=4=!#97$$!+:2&zZ&!"*$!02Jq<+b#=!#:7$$!+'*G_Ga!"*$!0*R6K<7U=!#:7$$!+\'4"y`!"*$!0DajQ*Qf=!#:7$$!+_CnC`!"*$!0D+Pz\!y=!#:7$$!+vdnv_!"*$!0c#fn<\&*=!#:7$$!+j(4tA&!"*$!0(3EC*HI">!#:7$$!+$H2c<&!"*$!04h0TS@$>!#:7$$!+vt,C^!"*$!0<'e%p$f^>!#:7$$!+fBrx]!"*$!/F/*z!Rp>!#97$$!+H2'G-&!"*$!0XZrK(*3*>!#:7$$!+GM'p(\!"*$!0X***zsD4?!#:7$$!+#Q"GB\!"*$!0*3BWc;J?!#:7$$!+lq/s[!"*$!0DvzKDD0#!#:7$$!+D4IE[!"*$!0_\"4-)>2#!#:7$$!+3Y&[x%!"*$!016jg/V4#!#:7$$!+ms1BZ!"*$!0ZPF<os6#!#:7$$!+lg_rY!"*$!0Ctv5G19#!#:7$$!+u2uBY!"*$!0bRP+^F;#!#:7$$!+p=EuX!"*$!/,hi]9'=#!#97$$!+>24BX!"*$!0f,.hx3@#!#:7$$!+uO3sW!"*$!0=0$=T4OA!#:7$$!+emh>W!"*$!0G)Hv'REE#!#:7$$!+%o.MP%!"*$!0z"z$e[lG#!#:7$$!+9)y8K%!"*$!0L=8BwSJ#!#:7$$!+K.9pU!"*$!0$>Ri>RUB!#:7$$!+v))z=U!"*$!0")3&4HMqB!#:7$$!+0S3tT!"*$!0&pR(H4jR#!#:7$$!+.Ys=T!"*$!0[#ojg$zU#!#:7$$!+l]nsS!"*$!0.W"=')QbC!#:7$$!+)\3">S!"*$!04'zpR6)[#!#:7$$!+:IprR!"*$!06)zez"y^#!#:7$$!+42n>R!"*$!0uQ!>ZB^D!#:7$$!+wJ8qQ!"*$!0,(G5/*Qe#!#:7$$!+bfW=Q!"*$!07'H\k')=E!#:7$$!*&4)4x$!")$!0Hv0*)H=l#!#:7$$!+LNy>P!"*$!0O*)pZG$)o#!#:7$$!+/QgmO!"*$!0uHa[>ts#!#:7$$!+%p5.i$!"*$!.:#oQ>iF!#87$$!+lGJqN!"*$!02%=()\(3!G!#:7$$!+;-m=N!"*$!0HV2"3*>%G!#:7$$!+w"G"oM!"*$!0`AVx*R$)G!#:7$$!+HeB>M!"*$!0/PG4IY#H!#:7$$!+;#\\O$!"*$!0fq@08=(H!#:7$$!+#GqhJ$!"*$!0kA=pEb,$!#:7$$!+_$)3kK!"*$!0%pfhDkjI!#:7$$!+#Q%*o@$!"*$!0#p%fA)e3J!#:7$$!+:*)HlJ!"*$!0c-"*Gf#fJ!#:7$$!+$f^n6$!"*$!0uw=so%3K!#:7$$!+ec+mI!"*$!0[M^es:E$!#:7$$!+JAR;I!"*$!0CfHs=_J$!#:7$$!+o:XkH!"*$!0"4GP_ItL!#:7$$!+VlU9H!"*$!0bJ3u17V$!#:7$$!+C(oK'G!"*$!0wa!o=^#\$!#:7$$!+=X`7G!"*$!0v?&=>^bN!#:7$$!*0:fw#!")$!0bFJ.Sah$!#:7$$!+&)Q[7F!"*$!/d=Zyl'o$!#97$$!+2WpkE!"*$!0_SHavFv$!#:7$$!*'3u8E!")$!07B5*R$f#Q!#:7$$!+9=(\c#!"*$!0tl*=$y')*Q!#:7$$!+b+#3^#!"*$!024i^iF)R!#:7$$!+8'GRY#!"*$!0(Q+V"f&eS!#:7$$!+-kq5C!"*$!0e/Qrh"[T!#:7$$!+T,?iB!"*$!0FGtaTLB%!#:7$$!*">94B!")$!0lL6,81L%!#:7$$!+G;OjA!"*$!0@yn"p?=W!#:7$$!+OKA6A!"*$!0k$QOPQAX!#:7$$!+@,'3;#!"*$!0ALc#oyFY!#:7$$!+0*H06#!"*$!0BjcbY"QZ!#:7$$!+W[Qg?!"*$!0Ey/AiM&[!#:7$$!+T6@7?!"*$!0sWjSd'p\!#:7$$!+'4M,'>!"*$!0/;tx"p,^!#:7$$!**3]5>!")$!0&R7Q%HUB&!#:7$$!+#Gk#e=!"*$!02!HyeO"Q&!#:7$$!+ov(4"=!"*$!0Zn4bz=_&!#:7$$!+0pre<!"*$!0rUoUjfo&!#:7$$!+#Hg'3<!"*$!0R)o;%QD&e!#:7$$!+=bse;!"*$!0d,4+D(Gg!#:7$$!+_%olg"!"*$!07Ar)oWCi!#:7$$!**)H&e:!")$!0zbV*HI;k!#:7$$!+M=L4:!"*$!0$[mx#[ai'!#:7$$!+P8,b9!"*$!08IDo)zso!#:7$$!+t&GeS"!"*$!0PNy"GC8r!#:7$$!*)*HbN"!")$!0)HJn$)=xt!#:7$$!+8wP/8!"*$!0G4)*e"\mw!#:7$$!+L'etD"!"*$!0Dq:P!=`z!#:7$$!*#zB27!")$!0[%p]8P$G)!#:7$$!+M()\d6!"*$!0NHWI=$R')!#:7$$!+iKH/6!"*$!/%o9`lb0*!#97$$!+R<Md5!"*$!0)*H?<!od%*!#:7$$!+F%pJ+"!"*$!0b.`'eSo**!#:7$$!*"4$Ga*!"*$!06jA22z/"!#97$$!*=E"f!*!"*$!0&G`C#fQ5"!#97$$!*>))*Q&)!"*$!0>%*y$*)4r6!#97$$!*=Yn,)!"*$!/3<v))QZ7!#87$$!*A$eTv!"*$!0h%[A:)fK"!#97$$!*J")p.(!"*$!0WL^)Q1@9!#97$$!*:RXa'!"*$!0Do0Z"*z_"!#97$$!*kE2,'!"*$!0KF=O#pj;!#97$$!*XI)[b!"*$!0.Q]d"=-=!#97$$!*$eK=]!"*$!0irnV'p#*>!#97$$!*iB'>X!"*$!0iS8itD@#!#97$$!*HQd-%!"*$!0FyiT;S[#!#97$$!),YJN!")$!0jY!H**oJG!#97$$!*kFt-$!"*$!0j]YQVKI$!#97$$!*obH\#!"*$!0i.,w-8,%!#97$$!)*))H+#!")$!0aS-!*QD*\!#97$$!*&)e6w"!"*$!0NL8_z!yc!#97$$!))G$>:!")$!0T$[wP&=e'!#97$$!,vhs+R"!#6$!0VFkxoQ>(!#97$$!+Nk"3E"!#5$!08eGpo8$z!#97$$!,DDg:8"!#6$!0h$o/`NP))!#97$$!*2/B+"!"*$!0y\`E7q(**!#97$$!*&GHL()!#5$!0f$yvM/X6!#87$$!(XNW(!")$!04E%)*eWV8!#87$$!+v5n)z'!#6$!0FY()ov3Z"!#87$$!*:(z`h!#5$!0<"=SH,D;!#87$$!,v=g8$e!#7$!0@ePxl[r"!#87$$!+DK#*3b!#6$!0V&zpnB:=!#87$$!,DE'['=&!#7$!08k)Gw3G>!#87$$!)$\S'[!"*$!0riY@+f0#!#87$$!-v=i/gX!#8$!0ct*G-'H>#!#87$$!,v8VgD%!#7$!0")G`C+'\B!#87$$!.vofTS5%!#9$!0GPmZAmV#!#87$$!-Dc+/_R!#8$!0sQdsQ.`#!#87$$!.Dc^Q+!Q!#9$!0FoZF_:j#!#87$$!+vp.[O!#6$!0&p@'G+7u#!#87$$!.vVVNg\$!#9$!0"oN2HQgG!#87$$!-v$*Q.WL!#8$!0nOAJ+/*H!#87$$!.DJNK?>$!#9$!030rK+G8$!#87$$!,D"3.SI!#7$!0LgMMS%*G$!#87$$!.v=FH!))G!#9$!0$)*e#yoDY$!#87$$!-DJx-OF!#8$!0$f&\rL\l$!#87$$!.D1>ESe#!#9$!0pNe")H*pQ!#87$$!*lC?V#!#5$!0UD$H/!=6%!#87$$!.v$4J-!G#!#9$!06ZzX?fQ%!#87$$!-vo:-G@!#8$!0id1\+#*p%!#87$$!.D"G+-w>!#9$!0Wx9Xx11&!#87$$!,v[=S#=!#7$!0*QVs0S#[&!#87$$!.vo%p,s;!#9$!0MtWi+3)f!#87$$!-D1a,?:!#8$!0n?po!))yl!#87$$!.Dc'Q,o8!#9$!0&="*Hu')4t!#87$$!+DB,;7!#6$!0%3le3gB#)!#87$$!.vVy5S1"!#9$!0C:8)4S)R*!#87$$!,vV#4?"*!#8$!0y'[9,['4"!#77$$!-DJq2+w!#9$!08%QPhx:8!#77$$!+D;1!3'!#7$!0<I<<?Zk"!#77$$!-v=i/gX!#9$!0ct*G-'H>#!#77$$!,D"3.SI!#8$!0LgMMS%*G$!#77$$!-D1a,?:!#9$!0n?po!))yl!#77$%*undefinedG%*undefinedG-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q$k=16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%'CURVESG6%7bz7$$!$+"!""$"""!"#7$$!*&RUZ**!")$"0F2Cs)f55!#;7$$!*"yn,**!")$"0(*)*[Ie*>5!#;7$$!*\J-&)*!")$"0PfRJS1."!#;7$$!+_TW)z*!"*$"0/_1^j:/"!#;7$$!+\H!pu*!"*$"08H873E0"!#;7$$!+dw6*p*!"*$"0@e5e0I1"!#;7$$!+a(Q'\'*!"*$"00f_tMR2"!#;7$$!+-wY)f*!"*$"03t`$fT&3"!#;7$$!+d0YZ&*!"*$"0>#zCX/(4"!#;7$$!+UN*\\*!"*$"0To?--#46!#;7$$!+m0y[%*!"*$"0y;A`y+7"!#;7$$!)dv'R*!"($"0Z'>Ia^K6!#;7$$!+;s^W$*!"*$"0&zQ$)H@X6!#;7$$!+dd<%H*!"*$"/)GWc_w:"!#:7$$!+*)3Y[#*!"*$"0o;RLD"p6!#;7$$!*\,T>*!")$"0-G^#4*H="!#;7$$!+[>0["*!"*$"0MV3!3$\>"!#;7$$!+$Q&[%4*!"*$"08?Db[!47!#;7$$!+)*)pq/*!"*$"0e:P&\v@7!#;7$$!+&fZ]**)!"*$"0d;!3x#fB"!#;7$$!*15b%*)!")$"0"3S)*Rl\7!#;7$$!+RG#Q*))!"*$"0fs&\6Ak7!#;7$$!+OyNY))!"*$"0fEX'Q#yF"!#;7$$!+</;&z)!"*$"0tX(=Qu#H"!#;7$$!+)o!)>u)!"*$"0/:z%)>&38!#;7$$!+xvo&p)!"*$"0zJ8B*[A8!#;7$$!*v*oX')!")$"0sV$4$HyL"!#;7$$!+-r.%f)!"*$"0-.&="fRN"!#;7$$!+i]]V&)!"*$"0'*He$H-q8!#;7$$!+;Fh%\)!"*$"/#4G<ReQ"!#:7$$!+-hKS%)!"*$"0)3BCMs.9!#;7$$!+kra"R)!"*$"0A[r;!4?9!#;7$$!+O_YR$)!"*$"/3=^J)yV"!#:7$$!+p7F#H)!"*$"0c%HJmHa9!#;7$$!+(zv1C)!"*$"0V6dbkDZ"!#;7$$!+z%G@>)!"*$"/k4!Qp+\"!#:7$$!+VDQT")!"*$"0XL>t-(3:!#;7$$!+;"p<4)!"*$"07tE?gs_"!#;7$$!+b%G)R!)!"*$"0*R!yUdqa"!#;7$$!+DM!)*)z!"*$"0zr]m!\m:!#;7$$!+2ckQz!"*$"0nbk6Xne"!#;7$$!+-9"z)y!"*$"0Z$o4BA2;!#;7$$!+O>HTy!"*$"0zl"=-RE;!#;7$$!+n2'yy(!"*$"/4CRNy[;!#:7$$!+$Hr+u(!"*$"0N#*=a1#p;!#;7$$!+Xx6*o(!"*$"0J>_`-9p"!#;7$$!+*p[.k(!"*$"0r"H/U18<!#;7$$!+Tp>'e(!"*$"0s'QmygP<!#;7$$!+(\0$Rv!"*$"0a'GD&*Gf<!#;7$$!+*G$3'[(!"*$"0hT%QPR%y"!#;7$$!+CqdPu!"*$"0Y)\$\Wx!=!#;7$$!+%z=XQ(!"*$"03ILL:Q$=!#;7$$!+9&Q(Qt!"*$"0`Z,*fwc=!#;7$$!+>,g'G(!"*$"0A!=*yKM)=!#;7$$!+.qBOs!"*$"0P#*o$3u4>!#;7$$!+*y1f=(!"*$"0fnlB'eO>!#;7$$!*thd8(!")$"0^<Cx**Q'>!#;7$$!+F!)e(3(!"*$"0@gMS(o!*>!#;7$$!+y4^Nq!"*$"0s94sm--#!#;7$$!+ux(e)p!"*$"0x<r%e2\?!#;7$$!+l6kLp!"*$"0cg-xm+3#!#;7$$!+aWN')o!"*$"0YrwMJ(3@!#;7$$!+(y$4Mo!"*$"0LJ^"e5T@!#;7$$!+ur.%y'!"*$"0__%e!>G<#!#;7$$!+,C5Mn!"*$"0OjSMi^?#!#;7$$!+P`%>o'!"*$"0NfGCA(RA!#;7$$!+wn!Rj'!"*$"0ulX*pFsA!#;7$$!*s3Ze'!")$"0-!>d(ejI#!#;7$$!+>#)QIl!"*$"0t;wV()[M#!#;7$$!+ba?"['!"*$"0cI[#4h!Q#!#;7$$!+no!4V'!"*$"0a"z(*e*zT#!#;7$$!+)\a(zj!"*$"0l-\%f#pX#!#;7$$!+<btKj!"*$".&y6ba$\#!#97$$!+1[h#G'!"*$"03w@k*[LD!#;7$$!+<c(GB'!"*$"068,;'3uD!#;7$$!+Y,nzh!"*$"0e*4&\,'=E!#;7$$!+A'=F8'!"*$"0b%[=0&)eE!#;7$$!+6jayg!"*$"0*oJ;LX1F!#;7$$!+w*f'Hg!"*$"0,E19<0v#!#;7$$!+.&*G")f!"*$"/D'zo$=&z#!#:7$$!+1dFHf!"*$"0&>vd&RW%G!#;7$$!+-:0xe!"*$"0>WZC;_*G!#;7$$!+4_`He!"*$"0LGe;1E%H!#;7$$!+;]2zd!"*$"0xgQW<U*H!#;7$$!)3$)Hd!"($"0wexN0f/$!#;7$$!*b\kn&!")$"0vlE-iM5$!#;7$$!+G*f-j&!"*$"0(pki8faJ!#;7$$!+n%4sd&!"*$"/x<"y*)[@$!#:7$$!+X#Rt_&!"*$"0sal%R;tK!#;7$$!+:2&zZ&!"*$"0[Sj*3XKL!#;7$$!+'*G_Ga!"*$"0mEfZ7MR$!#;7$$!+\'4"y`!"*$"0&o3!*)GtX$!#;7$$!+_CnC`!"*$"0b<w-rq_$!#;7$$!+vdnv_!"*$"0<65/*)Gf$!#;7$$!+j(4tA&!"*$"0b<6\$ofO!#;7$$!+$H2c<&!"*$"0=BhcmJt$!#;7$$!+vt,C^!"*$"0^[([zr3Q!#;7$$!+fBrx]!"*$"0/a$>,]yQ!#;7$$!+H2'G-&!"*$"0(GCn@njR!#;7$$!+GM'p(\!"*$"0xIs"[6PS!#;7$$!+#Q"GB\!"*$"0"RIuQjDT!#;7$$!+lq/s[!"*$"0#*z>AgG@%!#;7$$!+D4IE[!"*$"0F2r)>5$H%!#;7$$!+3Y&[x%!"*$"0t:Sy6hQ%!#;7$$!+ms1BZ!"*$"03(G:X#G[%!#;7$$!+lg_rY!"*$"0eK\p)G#e%!#;7$$!+u2uBY!"*$"0XwT!>\xY!#;7$$!+p=EuX!"*$"0_uZBI#zZ!#;7$$!+>24BX!"*$"0&Gt2)zz)[!#;7$$!+uO3sW!"*$".>f!p6+]!#97$$!+emh>W!"*$"0#RB+$Q&>^!#;7$$!+%o.MP%!"*$"0CSgU/$G_!#;7$$!+9)y8K%!"*$"0X_V!)[\N&!#;7$$!+K.9pU!"*$"/$ya5+o[&!#:7$$!+v))z=U!"*$"/(e'3b_=c!#:7$$!+0S3tT!"*$"02"z[#)HUd!#;7$$!+.Ys=T!"*$"0(*H$HN([*e!#;7$$!+l]nsS!"*$"0D6hEL*Gg!#;7$$!+)\3">S!"*$"0[%pE6r!>'!#;7$$!+:IprR!"*$"0FYOF2%Rj!#;7$$!+42n>R!"*$"0pG;f)z3l!#;7$$!+wJ8qQ!"*$"0;tBl*[wm!#;7$$!+bfW=Q!"*$"0*)[#z9Yeo!#;7$$!*&4)4x$!")$"0b[&o<?Kq!#;7$$!+LNy>P!"*$"0%>>++6Fs!#;7$$!+/QgmO!"*$"0t/cdr#Qu!#;7$$!+%p5.i$!"*$"0c/c'\rHw!#;7$$!+lGJqN!"*$"0PLQp+\%y!#;7$$!+;-m=N!"*$"/$\$o<"p2)!#:7$$!+w"G"oM!"*$"/KceU*RJ)!#:7$$!+HeB>M!"*$"0*z#*z6Y`&)!#;7$$!+;#\\O$!"*$"0\^q"GnJ))!#;7$$!+#GqhJ$!"*$"0y%4H7S$4*!#;7$$!+_$)3kK!"*$"0CG_u0fQ*!#;7$$!+#Q%*o@$!"*$"0$e\e2Kj'*!#;7$$!+:*)HlJ!"*$"/3yb#>4)**!#:7$$!+$f^n6$!"*$"09ER:F%H5!#:7$$!+ec+mI!"*$"035Gd&yj5!#:7$$!+JAR;I!"*$"0&f5=v1*4"!#:7$$!+o:XkH!"*$"0o'QA)=z8"!#:7$$!+VlU9H!"*$"0zK)pzJx6!#:7$$!+C(oK'G!"*$"0L]["Rw>7!#:7$$!+=X`7G!"*$"0Ju-]mTE"!#:7$$!*0:fw#!")$"099LmSrI"!#:7$$!+&)Q[7F!"*$"0f@#3Y9f8!#:7$$!+2WpkE!"*$"0DpvUK$39!#:7$$!*'3u8E!")$"0hm.4xPY"!#:7$$!+9=(\c#!"*$"0MxMEp*>:!#:7$$!+b+#3^#!"*$"._gsRie"!#87$$!+8'GRY#!"*$"0.E<B!>Z;!#:7$$!+-kq5C!"*$"0U(QgXs?<!#:7$$!+T,?iB!"*$"0dLc1=@z"!#:7$$!*">94B!")$"-A04Uv=!#77$$!+G;OjA!"*$"0pYfBb?&>!#:7$$!+OKA6A!"*$"0s5fY&>X?!#:7$$!+@,'3;#!"*$"0W].4T;9#!#:7$$!+0*H06#!"*$"0M%HyK+XA!#:7$$!+W[Qg?!"*$"0)4c_&4cN#!#:7$$!+T6@7?!"*$"0pVOZ\(pC!#:7$$!+'4M,'>!"*$"/M2**es-E!#97$$!**3]5>!")$"0L#4"y:(RF!#:7$$!+#Gk#e=!"*$"0Z-;()4f*G!#:7$$!+ov(4"=!"*$"0FRvP:"\I!#:7$$!+0pre<!"*$"0HR"4!=IB$!#:7$$!+#Hg'3<!"*$"0M")=f?_U$!#:7$$!+=bse;!"*$"0c\O^_Xj$!#:7$$!+_%olg"!"*$"0Ug]!RPuQ!#:7$$!**)H&e:!")$"0"z`6W*o6%!#:7$$!+M=L4:!"*$"0>,!)[c'*Q%!#:7$$!+P8,b9!"*$"0zeI<ONs%!#:7$$!+t&GeS"!"*$"0l[&QB#)f]!#:7$$!*)*HbN"!")$"/=o?3HUa!#97$$!+8wP/8!"*$"0kh'H$4v(e!#:7$$!+L'etD"!"*$"0.tA!yIDj!#:7$$!*#zB27!")$"0i]L4C9'o!#:7$$!+M()\d6!"*$"/[_w?yju!#97$$!+iKH/6!"*$"0&=Z4nK+#)!#:7$$!+R<Md5!"*$"0"4kB9xW*)!#:7$$!+F%pJ+"!"*$"0#=a\:"p$**!#:7$$!*"4$Ga*!"*$"0/*4K#4")4"!#97$$!*=E"f!*!"*$"0E'e(=0&=7!#97$$!*>))*Q&)!"*$"0*oLAFZr8!#97$$!*=Yn,)!"*$"0()**e+zfb"!#97$$!*A$eTv!"*$"0hqz*pAe<!#97$$!*J")p.(!"*$"0bIccA%>?!#97$$!*:RXa'!"*$"0LHT$zvMB!#97$$!*kE2,'!"*$"0d-[Fsyw#!#97$$!*XI)[b!"*$"0d1%H%eyC$!#97$$!*$eK=]!"*$"0LA"*3R3(R!#97$$!*iB'>X!"*$"0M_)H?[&*[!#97$$!*HQd-%!"*$"0$*RjbP.<'!#97$$!),YJN!")$"/TEayY=!)!#87$$!*kFt-$!"*$"0"Q#eoT64"!#87$$!*obH\#!"*$"0\@L)\04;!#87$$!)*))H+#!")$"/:/nWa#\#!#77$$!*&)e6w"!"*$"0_e]qeSA$!#87$$!))G$>:!")$"0*3]8*z?L%!#87$$!+Nk"3E"!#5$"0,0U$4m!H'!#87$$!*2/B+"!"*$"0*RHut2a**!#87$$!+vn;y$*!#6$"0Gv'3&4q8"!#77$$!*&GHL()!#5$"0dM9cC6J"!#77$$!+D*=%)3)!#6$"0*)4\jD&G:!#77$$!(XNW(!")$"0(y*>)o%[!=!#77$$!,v.367(!#7$"0M4ik!*>(>!#77$$!+v5n)z'!#6$"0$[u"HvM;#!#77$$!,D6MiZ'!#7$"0few<nUQ#!#77$$!*:(z`h!#5$"0Dcd0n1k#!#77$$!,v=g8$e!#7$"0M2?ik2%H!#77$$!+DK#*3b!#6$"0L</`%3&H$!#77$$!-vVZqZ`!#8$"04WQian\$!#77$$!,DE'['=&!#7$"/*yX!>_<P!#67$$!-D"yn_-&!#8$"0^w"ff()fR!#77$$!)$\S'[!"*$"0<]EpDnA%!#77$$!.v$fx/7Z!#9$"0&ecIf"Q]%!#77$$!-v=i/gX!#8$"0vfecu!4[!#77$$!.D"yY/3W!#9$"0zP?;`k9&!#77$$!,v8VgD%!#7$"0@\GJ@1_&!#77$$!.vofTS5%!#9$"0-aO4Hr$f!#77$$!-Dc+/_R!#8$"0/tp19ES'!#77$$!.Dc^Q+!Q!#9$"0/Q[Pn]#p!#77$$!+vp.[O!#6$"0'e:4!zT^(!#77$$!.vVVNg\$!#9$"0,*pw.z"=)!#77$$!-v$*Q.WL!#8$"0;Du-%\U*)!#77$$!.DJNK?>$!#9$"/(4&*)yV9)*!#67$$!,D"3.SI!#7$"0W=txT?3"!#67$$!.v=FH!))G!#9$"0c;uDQ*)>"!#67$$!-DJx-OF!#8$"0:sg/aeL"!#67$$!.D1>ESe#!#9$"/%\znNw\"!#57$$!*lC?V#!#5$"02gqF!p!p"!#67$$!.v$4J-!G#!#9$"/RME)HO#>!#57$$!-vo:-G@!#8$"0oR^_[#3A!#67$$!.D"G+-w>!#9$"0A*yEc/hD!#67$$!,v[=S#=!#7$"0NiOgrc+$!#67$$!.vo%p,s;!#9$"02q4h(*pd$!#67$$!-D1a,?:!#8$"0yt#4r;GV!#67$$!.Dc'Q,o8!#9$"0h)G%=;MM&!#67$$!+DB,;7!#6$"0GS#36win!#67$$!.vVy5S1"!#9$"0te05%*H$))!#67$$!,vV#4?"*!#8$"0%\YT'oA?"!#57$$!-DJq2+w!#9$"0^4P%oEJ<!#57$$!+D;1!3'!#7$"06'HVW50F!#57$$!-v=i/gX!#9$"0vfecu!4[!#57$$!,D"3.SI!#8$"0W=txT?3"!"*7$$!-D1a,?:!#9$"0yt#4r;GV!"*7$%*undefinedG%*undefinedG-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q$k=26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$"(7%Hv!"($")Wygz!")-%'CURVESG6%7fz7$$!$+"!""$!#5!"%7$$!*&RUZ**!")$!0FPV8Sf,"!#<7$$!*"yn,**!")$!0jw$Rj3I5!#<7$$!*\J-&)*!")$!04DUv5j/"!#<7$$!+_TW)z*!"*$!0p4*o'))H1"!#<7$$!+\H!pu*!"*$!0e4C6T*z5!#<7$$!+dw6*p*!"*$!0THjt")f4"!#<7$$!+a(Q'\'*!"*$!02b#)RFH6"!#<7$$!+-wY)f*!"*$!08!f1@#38"!#<7$$!+d0YZ&*!"*$!/3pkK/\6!#;7$$!+UN*\\*!"*$!0>j.r'>o6!#<7$$!+m0y[%*!"*$!0crbD@a="!#<7$$!)dv'R*!"($!0A#f;'>_?"!#<7$$!+;s^W$*!"*$!0RnEPXbA"!#<7$$!+dd<%H*!"*$!0C)HcxcX7!#<7$$!+*)3Y[#*!"*$!0a:*='HTE"!#<7$$!*\,T>*!")$!0,*H\Yo'G"!#<7$$!+[>0["*!"*$!08FnR8iI"!#<7$$!+$Q&[%4*!"*$!0T2.UI%H8!#<7$$!+)*)pq/*!"*$!0/"4/FW]8!#<7$$!+&fZ]**)!"*$!0ln534SP"!#<7$$!*15b%*)!")$!0ZrPEipR"!#<7$$!+RG#Q*))!"*$!0DdWyf9U"!#<7$$!+OyNY))!"*$!04)eLKYW9!#<7$$!+</;&z)!"*$!0(*zlSN)p9!#<7$$!+)o!)>u)!"*$!0*yL#3Bo\"!#<7$$!+xvo&p)!"*$!0:&3Ck&3_"!#<7$$!*v*oX')!")$!0;ew`%RZ:!#<7$$!+-r.%f)!"*$!0<=<Vjad"!#<7$$!+i]]V&)!"*$!0;)[cTe.;!#<7$$!+;Fh%\)!"*$!0J:g-L9j"!#<7$$!+-hKS%)!"*$!/&)o`^6j;!#;7$$!+kra"R)!"*$!0UkKY'G#p"!#<7$$!+O_YR$)!"*$!/lzs5>C<!#;7$$!+p7F#H)!"*$!0k^Sq(z`<!#<7$$!+(zv1C)!"*$!0)HW_j%py"!#<7$$!+z%G@>)!"*$!0"R-AQ!*==!#<7$$!+VDQT")!"*$!0%z&RTGJ&=!#<7$$!+;"p<4)!"*$!0&)z`MCu)=!#<7$$!+b%G)R!)!"*$!/mKP=CC>!#;7$$!+DM!)*)z!"*$!0=+EF71'>!#<7$$!+2ckQz!"*$!0WGw[g()*>!#<7$$!+-9"z)y!"*$!0C#4CldP?!#<7$$!+O>HTy!"*$!0w^p_NT2#!#<7$$!+n2'yy(!"*$!0dG$\*>r6#!#<7$$!+$Hr+u(!"*$!0hX^txl:#!#<7$$!+Xx6*o(!"*$!0ML5^N(*>#!#<7$$!+*p[.k(!"*$!/aR+$G@C#!#;7$$!+Tp>'e(!"*$!0kdC5'[!H#!#<7$$!+(\0$Rv!"*$!0Bu#o,\LB!#<7$$!+*G$3'[(!"*$!/([Yf9OQ#!#;7$$!+CqdPu!"*$!0l^.mb0V#!#<7$$!+%z=XQ(!"*$!0/X!zSK$[#!#<7$$!+9&Q(Qt!"*$!0ho,x)3ID!#<7$$!+>,g'G(!"*$!0p\nb*y%e#!#<7$$!+.qBOs!"*$!0L")*z_8RE!#<7$$!+*y1f=(!"*$!0<14By\p#!#<7$$!*thd8(!")$!0eeVf$>_F!#<7$$!+F!)e(3(!"*$!07E%Q^p3G!#<7$$!+y4^Nq!"*$!0"\vi!G:(G!#<7$$!+ux(e)p!"*$!0mNLwoJ$H!#<7$$!+l6kLp!"*$!09/&3J'***H!#<7$$!+aWN')o!"*$!0l#R=#)=iI!#<7$$!+(y$4Mo!"*$!0Qap#p(H8$!#<7$$!+ur.%y'!"*$!09X9tSG?$!#<7$$!+,C5Mn!"*$!0\#*)f&>YF$!#<7$$!+P`%>o'!"*$!0)eku9!>N$!#<7$$!+wn!Rj'!"*$!0eB**4Z_U$!#<7$$!*s3Ze'!")$!0(pv'*zf-N!#<7$$!+>#)QIl!"*$!0'**>l?t!f$!#<7$$!+ba?"['!"*$!0i&z&**)4tO!#<7$$!+no!4V'!"*$!0-.V*4'*fP!#<7$$!+)\a(zj!"*$!0&p2'HH6&Q!#<7$$!+<btKj!"*$!0O%=(z[v$R!#<7$$!+1[h#G'!"*$!0Fe^9SD.%!#<7$$!+<c(GB'!"*$!0%pPYK&)HT!#<7$$!+Y,nzh!"*$!0M$)*=aWPU!#<7$$!+A'=F8'!"*$!/7'G*o^NV!#;7$$!+6jayg!"*$!0&=LP!oCX%!#<7$$!+w*f'Hg!"*$!0#zF=bkhX!#<7$$!+.&*G")f!"*$!0)>N,D@tY!#<7$$!+1dFHf!"*$!0x7%p*zsz%!#<7$$!+-:0xe!"*$!0"[KCuIE\!#<7$$!+4_`He!"*$!0hy6Max/&!#<7$$!+;]2zd!"*$!0h<I9O6=&!#<7$$!)3$)Hd!"($!/#zz7teJ&!#;7$$!*b\kn&!")$!0$yDf!fsY&!#<7$$!+G*f-j&!"*$!0R>&QJ#Hg&!#<7$$!+n%4sd&!"*$!0DD$QRLkd!#<7$$!+X#Rt_&!"*$!0Wf6Sr<#f!#<7$$!+:2&zZ&!"*$!0"p@,(*Q$3'!#<7$$!+'*G_Ga!"*$!0FJz')y5D'!#<7$$!+\'4"y`!"*$!0UjLk?&Gk!#<7$$!+_CnC`!"*$!0E$y:],Cm!#<7$$!+vdnv_!"*$!/-6*f"H5o!#;7$$!+j(4tA&!"*$!0PJ=.%3,q!#<7$$!+$H2c<&!"*$!0>i<)>+8s!#<7$$!+vt,C^!"*$!0zMK$*pIV(!#<7$$!+fBrx]!"*$!0'=9\CGQw!#<7$$!+H2'G-&!"*$!0d_MKk7*y!#<7$$!+GM'p(\!"*$!0c9nL-;6)!#<7$$!+#Q"GB\!"*$!/8;'yX)z$)!#;7$$!+lq/s[!"*$!0DL)3B+Z')!#<7$$!+D4IE[!"*$!0sYJNA_*))!#<7$$!+3Y&[x%!"*$!0QfI6ae=*!#<7$$!+ms1BZ!"*$!0k%=q;M"\*!#<7$$!+lg_rY!"*$!0w(Qxf(*3)*!#<7$$!+u2uBY!"*$!07u5.D;,"!#;7$$!+p=EuX!"*$!0#H3e!4[/"!#;7$$!+>24BX!"*$!0G_;^s13"!#;7$$!+uO3sW!"*$!0P;/?t!=6!#;7$$!+emh>W!"*$!0%=tZqOe6!#;7$$!+%o.MP%!"*$!0Z*43sZ&>"!#;7$$!+9)y8K%!"*$!0&y![(f<R7!#;7$$!+K.9pU!"*$!0NKmkB_G"!#;7$$!+v))z=U!"*$!0NM,@$yJ8!#;7$$!+0S3tT!"*$!0V+#oA.w8!#;7$$!+.Ys=T!"*$!0uqKgP7V"!#;7$$!+l]nsS!"*$!0&f67uL!["!#;7$$!+)\3">S!"*$!02IP[>.a"!#;7$$!+:IprR!"*$!0>s"[t9'f"!#;7$$!+42n>R!"*$!0O>YHZ0m"!#;7$$!+wJ8qQ!"*$!0u9(e<8D<!#;7$$!+bfW=Q!"*$!0[zhYRhz"!#;7$$!*&4)4x$!")$!0NRYG?['=!#;7$$!+LNy>P!"*$!01&)>c%)G%>!#;7$$!+/QgmO!"*$!0\11Ia'G?!#;7$$!+%p5.i$!"*$!06A%*=vu5#!#;7$$!+lGJqN!"*$!04IIhes>#!#;7$$!+;-m=N!"*$!0J$[-4X&H#!#;7$$!+w"G"oM!"*$!0*f)o"pD(R#!#;7$$!+HeB>M!"*$!03tk*4d,D!#;7$$!+;#\\O$!"*$!0Q@]03Yi#!#;7$$!+#GqhJ$!"*$!0")yDTR@u#!#;7$$!+_$)3kK!"*$!0%=-Kg]vG!#;7$$!+#Q%*o@$!"*$!0'3M8&GR+$!#;7$$!+:*)HlJ!"*$!0"3E(=JK:$!#;7$$!+$f^n6$!"*$!/E#[#[)GI$!#:7$$!+ec+mI!"*$!0%*Q2'QhpM!#;7$$!+JAR;I!"*$!0>@Q@\Ok$!#;7$$!+o:XkH!"*$!0^dJ_Z&QQ!#;7$$!+VlU9H!"*$!0R#>a8iRS!#;7$$!+C(oK'G!"*$!0sR)[*R+E%!#;7$$!+=X`7G!"*$!0'*>(e!fZ\%!#;7$$!*0:fw#!")$!0%[2$o))es%!#;7$$!+&)Q[7F!"*$!0Dg`8,2,&!#;7$$!+2WpkE!"*$!0&>^!\b^G&!#;7$$!*'3u8E!")$!0`9`_9.g&!#;7$$!+9=(\c#!"*$!0V8I@re#f!#;7$$!+b+#3^#!"*$!0mTE7;wJ'!#;7$$!+8'GRY#!"*$!0OQ_(*=_o'!#;7$$!+-kq5C!"*$!0J-9uVy8(!#;7$$!+T,?iB!"*$!0<k\'yk'e(!#;7$$!*">94B!")$!0z(\t@s@")!#;7$$!+G;OjA!"*$!0x#RXReC')!#;7$$!+OKA6A!"*$!0AgFre"\#*!#;7$$!+@,'3;#!"*$!0^eJUe5"**!#;7$$!+0*H06#!"*$!/.0barj5!#97$$!+W[Qg?!"*$!0Cbp>'GV6!#:7$$!+T6@7?!"*$!0$4Nw3QF7!#:7$$!+'4M,'>!"*$!0."zJ0$yK"!#:7$$!**3]5>!")$!0i[$*4ISV"!#:7$$!+#Gk#e=!"*$!0\kp0&Re:!#:7$$!+ov(4"=!"*$!0Yx^y%o$o"!#:7$$!+0pre<!"*$!0)*Ge@#GQ=!#:7$$!+#Hg'3<!"*$!0xh*4Ni/?!#:7$$!+=bse;!"*$!0(Ghg<<">#!#:7$$!+_%olg"!"*$!00!HfMe6C!#:7$$!**)H&e:!")$!0t>S>C:k#!#:7$$!+M=L4:!"*$!0x'z,UM3H!#:7$$!+P8,b9!"*$!0=3(=8RYK!#:7$$!+t&GeS"!"*$!0U?4\u"*f$!#:7$$!*)*HbN"!")$!/oQ`/)[,%!#97$$!+8wP/8!"*$!0l([%e()f]%!#:7$$!+L'etD"!"*$!/yr&QJ1.&!#97$$!*#zB27!")$!0a#)fPsNo&!#:7$$!+M()\d6!"*$!0C*R6*)>[k!#:7$$!+iKH/6!"*$!0H2(*efeU(!#:7$$!+R<Md5!"*$!/4nL(y'f%)!#97$$!+F%pJ+"!"*$!0`Xtt;b!**!#:7$$!*"4$Ga*!"*$!.M/V;2:"!#77$$!*=E"f!*!"*$!0@e9>e]M"!#97$$!*>))*Q&)!"*$!0ez%[-81;!#97$$!*=Yn,)!"*$!0#)e>!4"4%>!#97$$!*A$eTv!"*$!0iU;^w8L#!#97$$!*J")p.(!"*$!03ToZG(pG!#97$$!*:RXa'!"*$!0<">4-\nN!#97$$!*kE2,'!"*$!0l-@'z)[g%!#97$$!*XI)[b!"*$!0[3)>1B`e!#97$$!*$eK=]!"*$!0a()Q!pn7z!#97$$!*iB'>X!"*$!0$)*HS9;$3"!#87$$!*HQd-%!"*$!0n#Ry>sK:!#87$$!),YJN!")$!0QIpY"eqA!#87$$!*kFt-$!"*$!009ab1Vg$!#87$$!*mT,w#!"*$!06m$*=1cv%!#87$$!*obH\#!"*$!0*fv&p1WX'!#87$$!*HszC#!"*$!04u3zFH!))!#87$$!)*))H+#!")$!/%G7_7WC"!#67$$!*&)e6w"!"*$!0$p(3<Y1$=!#77$$!))G$>:!")$!0PqQl68&G!#77$$!+Nk"3E"!#5$!0$R4>^N*)\!#77$$!*2/B+"!"*$!0=d`?&>J**!#77$$!+vn;y$*!#6$!0L%f11S77!#67$$!*&GHL()!#5$!0G5]i%H,:!#67$$!+D*=%)3)!#6$!08Jzgq(*)=!#67$$!(XNW(!")$!0:2499ZU#!#67$$!,v.367(!#7$!0F$=H)=#pF!#67$$!+v5n)z'!#6$!0sI)4K?#=$!#67$$!,D6MiZ'!#7$!0&\4=Uc"o$!#67$$!*:(z`h!#5$!0,9j8=6H%!#67$$!-vo'yD*f!#8$!0bd>A^ok%!#67$$!,v=g8$e!#7$!0Qf*)f;I/&!#67$$!-D1<9qc!#8$!0vBgzDb[&!#67$$!+DK#*3b!#6$!0k(>*fe8)f!#67$$!-vVZqZ`!#8$!0&37C_zQl!#67$$!,DE'['=&!#7$!0)*\U*zqnr!#67$$!-D"yn_-&!#8$!/2gZ-$*zy!#57$$!)$\S'[!"*$!0))R)eis*o)!#67$$!.v$fx/7Z!#9$!0AmkL'3e&*!#67$$!-v=i/gX!#8$!0()4h#4ha5!#57$$!.D"yY/3W!#9$!0R4%QQ^n6!#57$$!,v8VgD%!#7$!/Q5>`7(H"!"*7$$!.vofTS5%!#9$!0XH'>UlY9!#57$$!-Dc+/_R!#8$!09i>By+i"!#57$$!.Dc^Q+!Q!#9$!0'yJ!onB#=!#57$$!+vp.[O!#6$!0Me]'pyf?!#57$$!.vVVNg\$!#9$!0j3XL0.M#!#57$$!-v$*Q.WL!#8$!0nyJpjTn#!#57$$!.DJNK?>$!#9$!0&31BumuI!#57$$!,D"3.SI!#7$!0#3iv=JfN!#57$$!.v=FH!))G!#9$!0A$Q#=19:%!#57$$!-DJx-OF!#8$!/%\7*zX#)[!"*7$$!.D1>ESe#!#9$!0pbL'\u&z&!#57$$!*lC?V#!#5$!/>225y^p!"*7$$!.v$4J-!G#!#9$!0(*y)3u)oV)!#57$$!-vo:-G@!#8$!0/$Gb-qP5!"*7$$!.D"G+-w>!#9$!0rpbeigH"!"*7$$!,v[=S#=!#7$!0nY?dHyk"!"*7$$!.vo%p,s;!#9$!0%Haa4LR@!"*7$$!-D1a,?:!#8$!0l'\+&\u%G!"*7$$!.Dc'Q,o8!#9$!0_**HRmf!R!"*7$$!+DB,;7!#6$!0_dc![Uhb!"*7$$!.vVy5S1"!#9$!0HkA/-;I)!"*7$$!,vV#4?"*!#8$!0MPwlj#=8!")7$$!-DJq2+w!#9$!0K(R+'fzF#!")7$$!+D;1!3'!#7$!0-EX%)R"\W!")7$$!-v=i/gX!#9$!0()4h#4ha5!"(7$$!,D"3.SI!#8$!0"3iv=JfN!"(7$$!-D1a,?:!#9$!0l'\+&\u%G!"'7$%*undefinedG%*undefinedG-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q$k=36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$"#5!""-%'CURVESG6%7ez7$$!$+"!""$"#5!"&7$$!*&RUZ**!")$"0@Jxx48-"!#=7$$!*"yn,**!")$"0QKP%\JS5!#=7$$!*\J-&)*!")$"0EenX>A1"!#=7$$!+_TW)z*!"*$"0"=sYX&[3"!#=7$$!+\H!pu*!"*$"0/)3dQ)z5"!#=7$$!+dw6*p*!"*$"0"4Ol3)*H6!#=7$$!+a(Q'\'*!"*$"0$ff:eL`6!#=7$$!+-wY)f*!"*$"0"=w_x7y6!#=7$$!+d0YZ&*!"*$"0_w$*o1N?"!#=7$$!+UN*\\*!"*$"0lgd7H.B"!#=7$$!+m0y[%*!"*$"0"HL=fda7!#=7$$!)dv'R*!"($"/Jj*>"f#G"!#<7$$!+;s^W$*!"*$"0M?tx7:J"!#=7$$!+dd<%H*!"*$"0eG*f%f,M"!#=7$$!+*)3Y[#*!"*$"0z0k/aoO"!#=7$$!*\,T>*!")$"0CN*GvY*R"!#=7$$!+[>0["*!"*$"/T!)='fyU"!#<7$$!+$Q&[%4*!"*$"0-^BS)zh9!#=7$$!+)*)pq/*!"*$"0bGp;&o#\"!#=7$$!+&fZ]**)!"*$"04V%*H<v_"!#=7$$!*15b%*)!")$"08>d6N;c"!#=7$$!+RG#Q*))!"*$"0kE]6b#)f"!#=7$$!+OyNY))!"*$"0n`(GQ$Gj"!#=7$$!+</;&z)!"*$"0G04e'=r;!#=7$$!+)o!)>u)!"*$"0h(Q#>CAr"!#=7$$!+xvo&p)!"*$"0b))pwx*[<!#=7$$!*v*oX')!")$"03R4E(y*y"!#=7$$!+-r.%f)!"*$"0\xXH0K$=!#=7$$!+i]]V&)!"*$"0:+Z%G'p(=!#=7$$!+;Fh%\)!"*$"/D*G@]0#>!#<7$$!+-hKS%)!"*$"0ZM<XR/(>!#=7$$!+kra"R)!"*$"00JG3cm,#!#=7$$!+O_YR$)!"*$"0i\k&z]n?!#=7$$!+p7F#H)!"*$"/Zz"py\6#!#<7$$!+(zv1C)!"*$"0fP2PY%o@!#=7$$!+z%G@>)!"*$"0)3]dnI?A!#=7$$!+VDQT")!"*$"0XVL$R=wA!#=7$$!+;"p<4)!"*$"08pmsBDL#!#=7$$!+b%G)R!)!"*$"0\B\o'Q$R#!#=7$$!+DM!)*)z!"*$"02dP+$*QX#!#=7$$!+2ckQz!"*$"0#ffk+w<D!#=7$$!+-9"z)y!"*$"0GWFbjJe#!#=7$$!+O>HTy!"*$"0PX<9X^k#!#=7$$!+n2'yy(!"*$"0ur#fr[=F!#=7$$!+$Hr+u(!"*$"/i\z/D'y#!#<7$$!+Xx6*o(!"*$"0JYh`U3'G!#=7$$!+*p[.k(!"*$"0eD!o*)eMH!#=7$$!+Tp>'e(!"*$"0,Ht4"G>I!#=7$$!+(\0$Rv!"*$"0$HyL'*4&4$!#=7$$!+*G$3'[(!"*$"0j*y851%=$!#=7$$!+CqdPu!"*$".uP:SzE$!#;7$$!+%z=XQ(!"*$"0_cnnyGO$!#=7$$!+9&Q(Qt!"*$"0ao@%*zvW$!#=7$$!+>,g'G(!"*$"0>f82>ta$!#=7$$!+.qBOs!"*$"0O%4k+6ZO!#=7$$!+*y1f=(!"*$"0-j;Dm.v$!#=7$$!*thd8(!")$"0b,hJ-p&Q!#=7$$!+F!)e(3(!"*$"0:&HQj$G'R!#=7$$!+y4^Nq!"*$"0_NOix93%!#=7$$!+ux(e)p!"*$"/9CF=r)>%!#<7$$!+l6kLp!"*$"0@U(oxnEV!#=7$$!+aWN')o!"*$"0F_m*yuYW!#=7$$!+(y$4Mo!"*$"0=*e6TL%e%!#=7$$!+ur.%y'!"*$"0\u2mU6s%!#=7$$!+,C5Mn!"*$"0,vO'4ui[!#=7$$!+P`%>o'!"*$"0"*e^sbj,&!#=7$$!+wn!Rj'!"*$"0rK+uUK;&!#=7$$!*s3Ze'!")$"03nor!H>`!#=7$$!+>#)QIl!"*$"0y#4&4(\)\&!#=7$$!+ba?"['!"*$"0hAaP3tm&!#=7$$!+no!4V'!"*$"0sO<;/n%e!#=7$$!+)\a(zj!"*$"0wN()4&[Og!#=7$$!+<btKj!"*$"08V$>#px@'!#=7$$!+1[h#G'!"*$"0Y8qwp&=k!#=7$$!+<c(GB'!"*$"0'eof&>fi'!#=7$$!+Y,nzh!"*$"0wP,ztq&o!#=7$$!+A'=F8'!"*$"0aX'zg[pq!#=7$$!+6jayg!"*$"0s-Mb*)[K(!#=7$$!+w*f'Hg!"*$"0^x3aW`c(!#=7$$!+.&*G")f!"*$"0k^%\=08y!#=7$$!+1dFHf!"*$"08/xRO34)!#=7$$!+-:0xe!"*$"0lIQ5xAQ)!#=7$$!+4_`He!"*$"0#4<Z5$*e')!#=7$$!+;]2zd!"*$"06?65Q`'*)!#=7$$!)3$)Hd!"($"0^B%[%RvF*!#=7$$!*b\kn&!")$"/'Gh_w9j*!#<7$$!+G*f-j&!"*$"0'oGlmW^**!#=7$$!+n%4sd&!"*$"0370j^N."!#<7$$!+X#Rt_&!"*$"0d-@Ag82"!#<7$$!+:2&zZ&!"*$"00_w*G_56!#<7$$!+'*G_Ga!"*$"0ZxJ#[_^6!#<7$$!+\'4"y`!"*$"0#HU0BJ&>"!#<7$$!+_CnC`!"*$"0"fQ.I-W7!#<7$$!+vdnv_!"*$"0#=5m^)3H"!#<7$$!+j(4tA&!"*$"0%e^D$G$R8!#<7$$!+$H2c<&!"*$".U5E`OR"!#:7$$!+vt,C^!"*$"0">JTKj]9!#<7$$!+fBrx]!"*$"0$He<jF/:!#<7$$!+H2'G-&!"*$"0eP\qp5d"!#<7$$!+GM'p(\!"*$"0V]ZgH)H;!#<7$$!+#Q"GB\!"*$"0R!['[&3-<!#<7$$!+lq/s[!"*$"02%*\7>[x"!#<7$$!+D4IE[!"*$"0WqrYsI%=!#<7$$!+3Y&[x%!"*$"0<)=ewzB>!#<7$$!+ms1BZ!"*$"0*e[j:d4?!#<7$$!+lg_rY!"*$"0pq$opt*4#!#<7$$!+u2uBY!"*$"0ij80$*y=#!#<7$$!+p=EuX!"*$"0H)pjT5%G#!#<7$$!+>24BX!"*$"0T!3gYB*Q#!#<7$$!+uO3sW!"*$"/dG2p6+D!#;7$$!+emh>W!"*$"/ivSs'4i#!#;7$$!+%o.MP%!"*$"/_8<n^LF!#;7$$!+9)y8K%!"*$"0eB(pwanG!#<7$$!+K.9pU!"*$"0nZ(Rv\5I!#<7$$!+v))z=U!"*$"0&[9*)GycJ!#<7$$!+0S3tT!"*$"0*o!y"*)R(H$!#<7$$!+.Ys=T!"*$"0_zER`\Z$!#<7$$!+l]nsS!"*$"0HAFj.[j$!#<7$$!+)\3">S!"*$"0*yTD/\KQ!#<7$$!+:IprR!"*$"0#f6e%3)=S!#<7$$!+42n>R!"*$"0wQ1"fWOU!#<7$$!+wJ8qQ!"*$"0fCyS^vX%!#<7$$!+bfW=Q!"*$"04MiQ\Qq%!#<7$$!*&4)4x$!")$"0ud8<'=X\!#<7$$!+LNy>P!"*$"0W([&*=6B_!#<7$$!+/QgmO!"*$"0$\C.%)yKb!#<7$$!+%p5.i$!"*$"0,Pc/b7#e!#<7$$!+lGJqN!"*$"0t5'*oYU:'!#<7$$!+;-m=N!"*$"0&*p8P]O_'!#<7$$!+w"G"oM!"*$"0>UJ0]A"p!#<7$$!+HeB>M!"*$"0^`c")phJ(!#<7$$!+;#\\O$!"*$"0iWZZW)*z(!#<7$$!+#GqhJ$!"*$"0CI8f%**o#)!#<7$$!+_$)3kK!"*$"0%3$emA&4))!#<7$$!+#Q%*o@$!"*$"0ld"3o(zL*!#<7$$!+:*)HlJ!"*$"/;/>\(='**!#;7$$!+$f^n6$!"*$"0YS_E?(f5!#;7$$!+ec+mI!"*$"0()=\uR;8"!#;7$$!+JAR;I!"*$"0db$4%\z?"!#;7$$!+o:XkH!"*$"0*=MY#f[H"!#;7$$!+VlU9H!"*$"/74-w2'Q"!#:7$$!+C(oK'G!"*$"0,rz+Cy["!#;7$$!+=X`7G!"*$"0z:/%p6)f"!#;7$$!*0:fw#!")$"0K*o8nh3<!#;7$$!+&)Q[7F!"*$"0#y0mSFZ=!#;7$$!+2WpkE!"*$"06VlA+M)>!#;7$$!*'3u8E!")$"09#GqLkU@!#;7$$!+9=(\c#!"*$"0'e">c1.J#!#;7$$!+b+#3^#!"*$"0`0&ok:;D!#;7$$!+8'GRY#!"*$"0m$\fcB8F!#;7$$!+-kq5C!"*$"0Z?F,$*3'H!#;7$$!+T,?iB!"*$"0Aq6;(o6K!#;7$$!*">94B!")$"0AO<d.s^$!#;7$$!+G;OjA!"*$"0(o=W'>0"Q!#;7$$!+OKA6A!"*$"0y"y$\CG=%!#;7$$!+@,'3;#!"*$"0Tx)fli'e%!#;7$$!+0*H06#!"*$"0K_&>(R+/&!#;7$$!+W[Qg?!"*$"0a;TO'*)[b!#;7$$!+T6@7?!"*$"0GjDYi'*4'!#;7$$!+'4M,'>!"*$"0Y2d5#=un!#;7$$!**3]5>!")$"0Pm6cUg](!#;7$$!+#Gk#e=!"*$"0iWW)RH'Q)!#;7$$!+ov(4"=!"*$"0XYbe/rH*!#;7$$!+0pre<!"*$"/>uW0CX5!#97$$!+#Hg'3<!"*$"/[I5O@t6!#97$$!+=bse;!"*$"0jZu>(*4K"!#:7$$!+_%olg"!"*$"0K@cJx5]"!#:7$$!**)H&e:!")$"0@v&f>)[p"!#:7$$!+M=L4:!"*$"04l#3%3p#>!#:7$$!+P8,b9!"*$"0[>yRz6B#!#:7$$!+t&GeS"!"*$"0fn(4-=gD!#:7$$!*)*HbN"!")$"0u(oPH&='H!#:7$$!+8wP/8!"*$"0'f-#f6XX$!#:7$$!+L'etD"!"*$"/'\$z=&4+%!#97$$!*#zB27!")$"0B"))eS"zq%!#:7$$!+M()\d6!"*$"0H&e)G/3d&!#:7$$!+iKH/6!"*$"0u2U"e`Cn!#:7$$!+R<Md5!"*$"/$=@e$*3+)!#97$$!+F%pJ+"!"*$"0wTV6@U()*!#:7$$!*"4$Ga*!"*$"09@c)Q%e?"!#97$$!*=E"f!*!"*$"0hu@*[v%["!#97$$!*>))*Q&)!"*$"0;9"Gu$4)=!#97$$!*=Yn,)!"*$"0:,omq5U#!#97$$!*A$eTv!"*$"0u#Rw@O"4$!#97$$!*J")p.(!"*$"0&yd)\n!yS!#97$$!*:RXa'!"*$"0')z4h%4^a!#97$$!*kE2,'!"*$"0w?'Hp6hw!#97$$!*XI)[b!"*$"0tYxVe[0"!#87$$!*$eK=]!"*$"0=qrIcnd"!#87$$!*iB'>X!"*$"0sg/VulR#!#87$$!*HQd-%!"*$"/z"fb1t!Q!#77$$!),YJN!")$"0n')Hn#eHk!#87$$!*kFt-$!"*$"0WU&y,f!>"!#77$$!*obH\#!"*$"0t^$Rz0*e#!#77$$!*HszC#!"*$"0E2`TTf"R!#77$$!)*))H+#!")$"0=z,#zx7i!#77$$!+vQ2#)=!#5$"04*Q([3*pz!#77$$!*&)e6w"!"*$"0OmLXb%R5!#67$$!+DQCS;!#5$"0c#>&>\:Q"!#67$$!))G$>:!")$"0y&pP;pw=!#67$$!+Nk"3E"!#5$"0J8*)\Ts&R!#67$$!*2/B+"!"*$"0:Vtjl$3**!#67$$!*&GHL()!#5$".(f:w/><!")7$$!(XNW(!")$"0WduEsuD$!#57$$!,v.367(!#7$"06P(3ru))Q!#57$$!+v5n)z'!#6$"0P!*zLD1o%!#57$$!,D6MiZ'!#7$"01gW(*HZo&!#57$$!*:(z`h!#5$"0Qc$*\AJ(p!#57$$!-vo'yD*f!#8$"0hl\HVVv(!#57$$!,v=g8$e!#7$"0(*\?c'4[')!#57$$!-D1<9qc!#8$"0)>r%)oSu'*!#57$$!+DK#*3b!#6$"0cfi?ed3"!"*7$$!-vVZqZ`!#8$"/v$**GHFA"!")7$$!,DE'['=&!#7$"0R-6"p*>Q"!"*7$$!-D"yn_-&!#8$"0T17wh!o:!"*7$$!)$\S'[!"*$"0"4435_'y"!"*7$$!.v$fx/7Z!#9$"0(=k$zN%G?!"*7$$!-v=i/gX!#8$"0#***z")>FJ#!"*7$$!.D"yY/3W!#9$"0([!\,)f[E!"*7$$!,v8VgD%!#7$"0\))z'fsZI!"*7$$!.vofTS5%!#9$"/8Z(=]\_$!")7$$!-Dc+/_R!#8$"06g!*oY$*4%!"*7$$!.Dc^Q+!Q!#9$"0j/Y"el&z%!"*7$$!+vp.[O!#6$"0'Q;=')GYc!"*7$$!.vVVNg\$!#9$"0YCoPpTp'!"*7$$!-v$*Q.WL!#8$"0Z`I%*>o*z!"*7$$!.DJNK?>$!#9$"0P/(3">Bj*!"*7$$!,D"3.SI!#7$"0YiyS93<"!")7$$!.v=FH!))G!#9$"01(4XHXP9!")7$$!-DJx-OF!#8$"0M2C.1Xy"!")7$$!.D1>ESe#!#9$"0(p'Qi7HC#!")7$$!*lC?V#!#5$"0XXHhL%eG!")7$$!.v$4J-!G#!#9$"0()*z3<N+P!")7$$!-vo:-G@!#8$"0e"y[:Ow[!")7$$!.D"G+-w>!#9$"0<'\-Z&*el!")7$$!,v[=S#=!#7$"0=i!*yhS.*!")7$$!.vo%p,s;!#9$"0c))3>"\z7!"(7$$!-D1a,?:!#8$"0$*zD0.L(=!"(7$$!.Dc'Q,o8!#9$"0v^=l4_&G!"(7$$!+DB,;7!#6$"0t72y$\tX!"(7$$!.vVy5S1"!#9$"0a]!y%y@!y!"(7$$!,vV#4?"*!#8$"0&*\i))\aW"!"'7$$!-DJq2+w!#9$"0*y7%)[G(*H!"'7$$!+D;1!3'!#7$"0OS"\+f<t!"'7$$!-v=i/gX!#9$"0#***z")>FJ#!"&7$$!,D"3.SI!#8$"0YiyS93<"!"%7$$!-D1a,?:!#9$"0$*zD0.L(=!"$7$%*undefinedG%*undefinedG-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q$k=46"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$!$+"!""$""!!"";$!#7!""$"#7!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"y6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%ROOTG6'-%)BOUNDS_XG6#$"$g"!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%gP!""-%.BOUNDS_HEIGHTG6#$"%SO!""-%)CHILDRENG6"

Figura 5.6 Gr\303\241fico de 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI8RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMEYnRjlGOQ==

Portanto, para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= 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 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctRjM2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GNkY5RjtGPUY/RkFGQ0ZFRkhGLw==e para todos os valores racionais positivos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRInBGJ0Y0RjdGPi1GIzYkLUYsNiVRInFGJ0Y0RjdGPi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYG8vJSliZXZlbGxlZEdGQkYrRj5GK0Y+ (na forma reduzida) com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\255mpar, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Jy1GLDYlUSJ4RicvJSdpdGFsaWNHRkgvRjlRJ2l0YWxpY0YnLUY1Ni1RJyZyYXJyO0YnRjhGO0Y+RkBGQkZEL0ZHRj1GSUZLL0ZPRk0tRiM2JS1GNTYtUSgmbWludXM7RidGOEY7Rj5GQEZCRkRGZ25GSUZLRmhuLUYsNiVRKCYjODczNDtGJ0ZWRlhGOEYrRjgvJSxhY2NlbnR1bmRlckdGPUYrLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmhvLyUqbGluZWJyZWFrR1ElYXV0b0YnRistRiM2JkYrLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMUYnRjhGOC1GIzYmRistSSVtc3VwR0YkNiVGUy1GLDYlUSJrRidGVkZYLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjgvJS5saW5ldGhpY2tuZXNzR0ZbcS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zbci8lKWJldmVsbGVkR0Y9RitGOEYrRjhGK0Y4 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEjMC5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

J\303\241 que limites em menos infinito s\303\243o facilmente convertidos em limite no infinito, as t\303\251cnicas desenvolvidas para limites no infinito podem tambem ser aplicadas para limites em menos infinito.

<Text-field style="Heading 2" layout="Heading 2">Exemplo 5.4</Text-field>

<Text-field style="Heading 3" layout="Heading 3">Observa\303\247\303\243o</Text-field>

Exceto quando \342\210\236 \303\251 trocado para -\342\210\236, esta discuss\303\243o \303\251 a mesma que aquela discutida no Exemplo 5.1.

Para o nosso quarto exemplo, considere o limite em menos infinito para uma fun\303\247\303\243o racional cujo numerador e denominador s\303\243o ambos polin\303\264mios de quinto grau. Tal fun\303\247\303\243o \303\251:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNMMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

O mais alto grau no denominador \303\251:

IiIm

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEjTDFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiw2JVEjTDJGJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGK0ZZRkBGK0ZZRkA=

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

Note que o limite do denominador existe e n\303\243o \303\251 zero, como se v\303\252 no Maple via:

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

A Regra do Quociente para limites pode ser aplicada para determinar que o valor para este limite \303\251:

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

L0khRzYiIyIiKiIjNQ==

Figura 5.7 contendo o gr\303\241fico da fun\303\247\303\243o racional dada confirma este resultado.

-%%PLOTG6&-%'CURVESG6$7^x7$$!&++"!""$"0y_Sd#==!*!#:7$$!0E^-r\z%**!#7$"0;*yoxF=!*!#:7$$!0E_9.hE!**!#7$"0=%*=Th$=!*!#:7$$!0uZb<H<&)*!#7$"0d6mRc%=!*!#:7$$!0@T-rf/!)*!#7$"/>m3Ib=!*!#97$$!0x`(>RV\(*!#7$"0bX5<]'=!*!#:7$$!03;-[E@q*!#7$"0Q#fm6u=!*!#:7$$!0kGnOUJl*!#7$"0,uwKO)=!*!#:7$$!0W([EH[-'*!#7$"0@+`wN*=!*!#:7$$!0d8<&f)>b*!#7$"0*3QMf.>!*!#:7$$!0Y"H1O/+&*!#7$"07bB3S">!*!#:7$$!0&3<gFHa%*!#7$"/lYkFB>!*!#97$$!0\(\V")y-%*!#7$"0#RZ#=Q$>!*!#:7$$!/'>R/s5N*!#6$"0eGD?X%>!*!#:7$$!03;#**RB,$*!#7$"0cvHY\&>!*!#:7$$!0Gb+GwfD*!#7$"0H@[6X'>!*!#:7$$!0w_XZg@?*!#7$"0,"\z+w>!*!#:7$$!0Jh#G9dc"*!#7$"/djF&e)>!*!#97$$!0#HeH0a."*!#7$"0CmwGu*>!*!#:7$$!0c7&)>*fc!*!#7$"0nrn)y2?!*!#:7$$!0kF&=r40!*!#7$"/l$[z#>?!*!#97$$!0,,#f\0c*)!#7$"0x>PW..-*!#:7$$!0-/3h%)[!*)!#7$"0GfV>?/-*!#:7$$!0h@tD%*y&))!#7$"0HFofG0-*!#:7$$!0d9H")3s!))!#7$"/x?@ok?!*!#97$$!/.1")3ca()!#6$"073O2r2-*!#:7$$!018;qI(3()!#7$"0,Y'f/)3-*!#:7$$!0E^A&GBf')!#7$"0&*p5!***4-*!#:7$$!0Y#\In43')!#7$"/#R$RZ7@!*!#97$$!0W)o6+2e&)!#7$"0nNRJ[7-*!#:7$$!/'>*)em'4&)!#6$"0)4qi#p8-*!#:7$$!0Y#\SG#fX)!#7$"0><"z^]@!*!#:7$$!0"4=#pJwS)!#7$"0px#*yG;-*!#:7$$!/">QeqgN)!#6$"02*yZBw@!*!#:7$$!0ybhb[$4$)!#7$"0h$=/[)=-*!#:7$$!03:!R!p#e#)!#7$"0>Q!o--A!*!#:7$$!0`0T>2-@)!#7$"0$4Ep#\@-*!#:7$$!0#Ry<(o*f")!#7$"0/Y$QdGA!*!#:7$$!06AWU^36)!#7$"0-juz?C-*!#:7$$!08E-<I%f!)!#7$"0iLq&RcA!*!#:7$$!0Pu3R0*4!)!#7$"0Q*pvNqA!*!#:7$$!0#['4:f#fz!#7$"0r'Ha"[G-*!#:7$$!0Y#\(GK!4z!#7$"0XVeO$*H-*!#:7$$!0h@j,zG'y!#7$"0`SqVGJ-*!#:7$$!0$e;f@)*4y!#7$"0kg(3_GB!*!#:7$$!0pP&z0nix!#7$"0%RxQsUB!*!#:7$$!0(QxnlA7x!#7$"0#fS$f!eB!*!#:7$$!0.0?@XRm(!#7$"03kcEHP-*!#:7$$!0['Hr\L5w!#7$"0F%4fl*Q-*!#:7$$!03:?W7Rc(!#7$"06'HSL/C!*!#:7$$!0GbgXA7^(!#7$"0'zPQ@@C!*!#:7$$!/%zQD,KY(!#6$"071s0oV-*!#:7$$!0mKbgt1T(!#7$"0%Q(Q#4aC!*!#:7$$!0;K%G6Nlt!#7$"0my<1#pC!*!#:7$$!0/2u6MPJ(!#7$"0r(ftk'[-*!#:7$$!0$\)HjuQE(!#7$"02uBIP]-*!#:7$$!0zd0sZS@(!#7$"08*f!Q5_-*!#:7$$!0w^B6/W;(!#7$"0bM$=_QD!*!#:7$$!0$oOY@r;r!#7$"/j!>[bb-*!#97$$!0b5"oe:lq!#7$"/r<H@uD!*!#97$$!09Gm**=g,(!#7$"0mNGdAf-*!#:7$$!0)e<`ZIkp!#7$"0X8QB:h-*!#:7$$!0kG(44\<p!#7$"0^0Z7#HE!*!#:7$$!0Ll!\Gvlo!#7$"02q4V!\E!*!#:7$$!09GE!o>;o!#7$"/z1*>$oE!*!#97$$!0)\*pPhnw'!#7$"0$)yOJyo-*!#:7$$!0e;L)e7:n!#7$"/0(==&3F!*!#97$$!04='3xcnm!#7$"0>:Abys-*!#:7$$!0,-Cjh)=m!#7$"0JDGZzu-*!#:7$$!0_/pL%3ll!#7$"0i4$zZqF!*!#:7$$!0iB2S$R;l!#7$"0(3p')>"z-*!#:7$$!0$e;)z(fmk!#7$"0$z\Dr7G!*!#:7$$!005I&p&fT'!#7$"0&oRW$\$G!*!#:7$$!0d9>;3%pj!#7$"0[Dmsc&G!*!#:7$$!0&)pzl)y>j!#7$"/*fl:"yG!*!#97$$!0d94'oaqi!#7$"06$*HR2!H!*!#:7$$!0OrUWty@'!#7$"00vhO`#H!*!#:7$$!0X*)eV"Rrh!#7$"00Qy"RZH!*!#:7$$!0CZu%3w<h!#7$"/O4dDtH!*!#97$$!/17wLOpg!#6$"0#Gj'))p*H!*!#:7$$!0$\)zgw9-'!#7$"0OP0Z3-.*!#:7$$!0Os%[H)*pf!#7$"0*)p+Ip/.*!#:7$$!0Y#\')4G=f!#7$"0%p)evN2.*!#:7$$!0Hdk&)R7(e!#7$"0/5GF#)4.*!#:7$$!/'>fE%G@e!#6$"0<4&H%[7.*!#:7$$!+#\KDx&!"($"0O]'=E^J!*!#:7$$!0u[Z0&o>d!#7$"/*3]4/=.*!#97$$!0"=OGt&Rn&!#7$"0KQ&*og?.*!#:7$$!0$e;stV@c!#7$"0NWSbgB.*!#:7$$!0QwA&e1sb!#7$"0c&z-wkK!*!#:7$$!09Fu?rJ_&!#7$"0v]B%p$H.*!#:7$$!0hAlmPUZ&!#7$"0(yq#pJK.*!#:7$$!0GcAbGVU&!#7$"0G%p.y`L!*!#:7$$!0@TssD9P&!#7$"0&3#R\oQ.*!#:7$$!0jDr,>HK&!#7$"0X%y([xT.*!#:7$$!0U$olm.v_!#7$"0)\R%3)[M!*!#:7$$!0=N+A^QA&!#7$"0(e96k#[.*!#:7$$!09G1?xF<&!#7$"0)e4$oq^.*!#:7$$!0.1_BNp7&!#7$"08^e`&[N!*!#:7$$!0yc87KE2&!#7$"0r!yte'e.*!#:7$$!/$fQz$>F]!#6$"0zf[W!>O!*!#:7$$!/05m&[S(\!#6$"07'[+wdO!*!#:7$$!0PtYfEL#\!#7$"0ly"3\&p.*!#:7$$!0Pue"z.y[!#7$"0`f"Q%)HP!*!#:7$$!0&)p*fg5F[!#7$"0#>P%[#pP!*!#:7$$!0KjYfOex%!#7$"0o2>k(4Q!*!#:7$$!0)e</3"[s%!#7$"0NYah4&Q!*!#:7$$!0>QYO.vn%!#7$"/$zyg**)Q!*!#97$$!0v]6D>&GY!#7$"0`4Y$=JR!*!#:7$$!0b44")fyd%!#7$"0Qy@XZ(R!*!#:7$$!0oNh$GOFX!#7$"/G*yQ">S!*!#97$$!0d82\?aZ%!#7$"0E0q\e1/*!#:7$$!0(HfW'p'HW!#7$"08;M,z5/*!#:7$$!/'>z-l"yV!#6$"0$)ph%HcT!*!#:7$$!0rT$G*[kK%!#7$"/umv/1U!*!#97$$!0>QO)3hwU!#7$"0a![R8bU!*!#:7$$!0RxW;`8B%!#7$"/^LBr+V!*!#97$$!0([(*et`xT!#7$"0;2n'>cV!*!#:7$$!0U$o7$[>8%!#7$"0&)HkJVS/*!#:7$$!0-0ST<*yS!#7$"0)>%*)z;Y/*!#:7$$!0nMH3w>.%!#7$"0jKS.P^/*!#:7$$!0v\H+u/)R!#7$"0P:E&>sX!*!#:7$$!07BO%=VJR!#7$"0jB.?$HY!*!#:7$$!08E_\h-)Q!#7$".6`l/p/*!#87$$!0sV<9rK$Q!#7$"0p&)Qc![Z!*!#:7$$!0oOtp&e#y$!#7$"0vRh#y6[!*!#:7$$!0T#[lx$*HP!#7$"08$4J")z[!*!#:7$$!0=Nge2To$!#7$"0[n^>1%\!*!#:7$$!0Ptmt4Yj$!#7$"0yz[<!3]!*!#:7$$!0d9\htMe$!#7$"0W[$\gz]!*!#:7$$!0b5h*oWLN!#7$"0%G))yk^^!*!#:7$$!0rTLZV][$!#7$"/=w`KB_!*!#97$$!0d9\s*HJM!#7$"0ko[%G0`!*!#:7$$!0-.md3IQ$!#7$"0UZj`6Q0*!#:7$$!0@T#ouWJL!#7$"0.$REfka!*!#:7$$!0*ydSas%G$!#7$"0f"RtYUb!*!#:7$$!0>PM#fkLK!#7$"0Yw([=Ic!*!#:7$$!0kF&ySe&=$!#7$"0Y6!RH:d!*!#:7$$!0.1AgX`8$!#7$"0'z!3_q!e!*!#:7$$!0AW)3$Gi3$!#7$"0b*[jl**e!*!#:7$$!0C[Y02[.$!#7$"0f\uA)**f!*!#:7$$!0['HvAG&)H!#7$"0/^$Qc*41*!#:7$$!0%pQNgjMH!#7$"0[C`_]?1*!#:7$$!0d9><4W)G!#7$"0y=>MLJ1*!#:7$$!0sV2!fDQG!#7$"0RT%*>iT1*!#:7$$!0%zeV!f`y#!#7$"0"G%GT$Ql!*!#:7$$!/)fRYZ!QF!#6$"0"HvYd^m!*!#:7$$!0)f>_Mg(o#!#7$"0wEa1nx1*!#:7$$!09Fk4A$RE!#7$"02*=U'4!p!*!#:7$$!0f=d&=r&e#!#7$"0-fN'QWq!*!#:7$$!0>PkK*GRD!#7$"/KMQ[tr!*!#97$$!0Rx/M*f'[#!#7$"0ySgleK2*!#:7$$!0^,$Q"y&QC!#7$"/K(G&\qu!*!#97$$!0ya**[]gQ#!#7$"00J^"QNw!*!#:7$$!0FaG,G2M#!#7$"0Ahd8Oy2*!#:7$$!0:H=+6"*G#!#7$"0oz@,'fz!*!#:7$$!0/2u^^#RA!#7$"0tMu@t83*!#:7$$!/*z\gC%*=#!#6$"0oZoNIK3*!#:7$$!0(Qx'*4yR@!#7$"/c#*Gp;&3*!#97$$!0%*)yI!*3#4#!#7$"0*)=Y=9r3*!#:7$$!0mKDvK0/#!#7$"0CU%=>K*3*!#:7$$!0D]5)eR"*>!#7$"072hxK:4*!#:7$$!0*zfP;oR>!#7$"0A"fp4)R4*!#:7$$!0v]TznG*=!#7$"/J)Q"HJ'4*!#97$$!0W([L(H6%=!#7$"06_=dG!*4*!#:7$$!0D]qot:z"!#7$"0nE&ysx,"*!#:7$$!04<9EQ@u"!#7$"/AXhcn/"*!#97$$!0pQxw-0p"!#7$"0y*)Qq%)y5*!#:7$$!/-/$fWHk"!#6$"0UD#z%>56*!#:7$$!07Co^QUf"!#7$"04(*f`CW6*!#:7$$!0jE8Ah/a"!#7$"0#zBg_V="*!#:7$$!0tX^Gq<\"!#7$"/'>,8<B7*!#97$$!0%ze#ou>W"!#7$"049()Rfl7*!#:7$$!0;Ku$QL"R"!#7$"0A;C_'=J"*!#:7$$!0oOj/&yW8!#7$"0xS#y&[d8*!#:7$$!0'>RUb;&H"!#7$"0vv(GW(49*!#:7$$!0oO`uBfC"!#7$"0T_34ul9*!#:7$$!0Z$pG.D$>"!#7$"0@1")HyI:*!#:7$$!0c6.Kon9"!#7$"0#GE/qJf"*!#:7$$!0Np=tPJ4"!#7$"0'40L#yr;*!#:7$$!0rU0ESZ/"!#7$"0x$)*3%p\<*!#:7$$!0NqS#\`o**!#8$"0&G"HsFM=*!#:7$$!0sW*G$)f`%*!#8$"09UHt&[$>*!#:7$$!0uX"4(yl$*)!#8$"0(eVI*eZ?*!#:7$$!0)Rz3u;m%)!#8$"0h;mA@i@*!#:7$$!/rT.:hmz!#7$"/o%\o())H#*!#97$$!07@Uw$4zu!#8$"0&R1)>+]C*!#:7$$!0b3<R>1&p!#8$"/PZ\#*zj#*!#97$$!0@Ry7UL\'!#8$"0&*f;xfDG*!#:7$$!0TzecU"of!#8$"0wan#Gp2$*!#:7$$!0#\)pOFWZ&!#8$"0dc*y$pdL*!#:7$$!0Y#\=4[&)\!#8$"0)>K")z7p$*!#:7$$!0DZ%4b9'\%!#8$"07Vtx%))4%*!#:7$$!0%RymV0(*R!#8$"0&=]vn!>Y*!#:7$$!0=Lm6E!oM!#8$"/T#Ru<P`*!#97$$!/uZ:!fH)H!#7$"0j7\XlCi*!#:7$$!0Mm#esaVF!#8$"01#HK98y'*!#:7$$!0Gb5]NT]#!#8$"0v(=e\uW(*!#:7$$!039GF3#[A!#8$"0&3'p4\@$)*!#:7$$!0(GdW5G#*>!#8$".k:8VG%**!#87$$!0Hbg*ffk=!#8$"0K`A4*)4+"!#97$$!/x`Z4"pt"!#7$"0V['*=B(35!#97$$!06?!**eA4;!#8$"07\x9Wx,"!#97$$!0`-0&3a"["!#8$"0W'H#f.%G5!#97$$!/p(yjb6O"!#7$"0,fg%[RS5!#97$$!0E^_Uq2C"!#8$"03;)\)p[0"!#97$$!0XQ*=yd!="!#8$"07A9g%Hj5!#97$$!0jDE@&Q?6!#8$"0))pX?&ps5!#97$$!0#GJ1E>g5!#8$"0uWq(HD$3"!#97$$!$+"!""$"0V;?^(>&4"!#9-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$!&++"!""$!$+"!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$I#!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%?L!""-%.BOUNDS_HEIGHTG6#$"%!\$!""-%)CHILDRENG6"

Figura 5.7

Gr\303\241fico da fun\303\247\303\243o 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

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>

with(RandomTools): randomize(): nn5 := Generate(integer(range=1..6)): nn6 := Generate(integer(range=1..5)): ff3 := sort(Generate(polynom(integer(range=-9..9),x,degree=nn5))): gg3 := sort(Generate(polynom(integer(range=-8..9),x,degree=nn6))): fn3 := Limit(ff3/gg3,x=-infinity); ans3 := value(fn3); if ans3 = infinity then ans3 := `∞` end if; if ans3 = -infinity then ans3 := -`∞` end if;

LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLCZJInhHRiciIiUhIiciIiJGLiwsKiRGK0YsISIjKiRGKyIiJCIiKiokRisiIiNGLkYrISIkRjZGLiEiIi9GKywkSSlpbmZpbml0eUdGJUY4

IiIh

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 5.3</Text-field>

Encontre `$fn3` Se o limite \303\251 indefinido, digite sua resposta como dne. Se o limite for infinito, digite sua resposta como infinito ou -infinito.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=ans3;

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

rr := `$RESPONSE`: if rr = infinity then rr := `∞` end if: if rr = -infinity then rr := -`∞` end if: evalb(`$ANSWER`-rr=0);

<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>

Replace this text with hint 1.

Replace this text with hint 2.

Replace this text with hint 3.

<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea2`, `value`); ANSWER := ans3; rr := eval(parse(StudentResponse)):if rr = infinity then rr := `∞` end if:if rr = -infinity then rr := -`∞` end if: if evalb(ANSWER-rr=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mn>0</mn></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mn>0</mn></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1">Ass\303\255ntota Horizontal </Text-field>

<Text-field style="Heading 2" layout="Heading 2">Defini\303\247\303\243o - Ass\303\255ntota Horizontal </Text-field>

O gr\303\241fico de 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 \303\251 dito ter um ass\303\255ntota horizontal se, para a reta (horizontal) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUklbXN1YkdGJDYlLUYsNiVRImhGJ0Y0RjctRiM2JEZXRj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj5GK0Y+ , pelo menos um dos limites 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 ou 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 existirem.

<Text-field style="Heading 2" layout="Heading 2">Exemplo 5.5</Text-field>

Encontre a(s) ass\303\255ntota(s) horizontal(is) para 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, que \303\251, para:

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

LCYqJiwmKiYiIiQiIiIpSSJ4RzYiIiImRidGJ0YnRidGJywoKiQpLUkkYWJzRyUqcHJvdGVjdGVkRzYjRilGK0YnRicqJkYrRicpRikiIiNGJ0YnRidGJyEiIkYnKigiIzVGJy1JJHNpbkc2JEYxSShfc3lzbGliR0YqRjJGJywmKiRGNEYnRidGJ0YnRjZGJw==

Mesmo que o primeiro termo nesta fun\303\247\303\243o n\303\243o seja uma fun\303\247\303\243o racional, ela pode ser tratada exatamente da mesma forma. Limites para o segundo termo podem ser avaliados com a ajuda do Teorema do Confronto(como no exemplo 3).

Observe que para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= > 0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNiYtSSNtb0dGJDYtUSkmdmVyYmFyO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPC8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInhGJy8lJ2l0YWxpY0dGQS9GOFEnaXRhbGljRidGM0Y3LUY0Ni1RIj1GJ0Y3RjpGPS9GQEY8RkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GZW5GT0Y3RitGNw== e assim LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ki1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkobWZlbmNlZEdGJDYkLUYjNiZGKy1GIzYkLUYsNiVRInhGJ0Y0RjdGPkYrRj5GPi1GOzYtUSI9RidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjI3Nzc3NzhlbUYnL0ZTRlxvLUkmbWZyYWNHRiQ2KC1GIzYmRistRiM2J0YrLUYjNictSSNtbkdGJDYkUSIzRidGPi1GOzYtUTEmSW52aXNpYmxlVGltZXM7RidGPkZARkNGRUZHRklGS0ZNRk9GUi1GIzYmRistSSVtc3VwR0YkNiVGZW4tRmhvNiRRIjVGJ0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRj5GK0Y+LUY7Ni1RIitGJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjIyMjIyMmVtRicvRlNGXXEtRmhvNiRRIjFGJ0Y+Rj5GK0Y+LUYjNiZGKy1GIzYpRitGXnBGaXAtRiM2J0ZjcEZbcC1GIzYmRistRmFwNiVGZW4tRmhvNiRRIjJGJ0Y+RmZwRitGPkYrRj5GaXBGX3FGPkYrRj4vJS5saW5ldGhpY2tuZXNzR0ZhcS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zjci8lKWJldmVsbGVkR0ZCRmlwLUZfbzYoLUYjNictRmhvNiRRIzEwRidGPkZbcC1GIzYnLUYsNiVRJHNpbkYnL0Y1RkJGPi1GOzYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y+RkBGQ0ZFRkdGSUZLRk1GT0ZSLUYjNiRGVEY+RitGPkYrRj4tRiM2JkYrLUYjNidGK0ZocUZpcEZfcUY+RitGPkZfckZhckZkckZmckY+RitGPg== . O limite no infinito desta fun\303\247\303\243o v\303\252-se facilmente que \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv. Por exemplo, o Maple d\303\241:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEleV9oMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KC1JJ211bmRlckdGJDYlLUY9Ni1RJGxpbUYnRkBGQkZFRkdGSUZLL0ZORjhGTy9GUlEmMC4wZW1GJy9GVVEsMC4xNjY2NjY3ZW1GJy1GIzYnLUYsNiVRInhGJ0Y2RjktRj02LVEoJiM4NTk0O0YnRkBGQkZFRkdGSUZLRk1GT0Zpbi9GVUZqbi1GLDYlUSgmIzg3MzQ7RidGNkY5LyUrZXhlY3V0YWJsZUdGREZALyUsYWNjZW50dW5kZXJHRkRGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0ZicC8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSJmRidGNkY5RmlvRkBGK0Zpb0ZARitGaW9GQEYrRmlvRkA=

IiIk

Da mesma forma, para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= < 0, 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 e assim 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. O limite em menos infinito desta fun\303\247\303\243o v\303\252-se facilmente que \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKCZtaW51cztGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjNGJ0Y1RjVGK0Y1. Por exemplo, o Maple d\303\241:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEleV9oMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2KC1JJ211bmRlckdGJDYlLUY9Ni1RJGxpbUYnRkBGQkZFRkdGSUZLL0ZORjhGTy9GUlEmMC4wZW1GJy9GVVEsMC4xNjY2NjY3ZW1GJy1GIzYoLUYsNiVRInhGJ0Y2RjktRj02LVEoJiM4NTk0O0YnRkBGQkZFRkdGSUZLRk1GT0Zpbi9GVUZqbi1GIzYmLUY9Ni1RKiZ1bWludXMwO0YnRkBGQkZFRkdGSUZLRk1GTy9GUlEsMC4yMjIyMjIyZW1GJy9GVUZccC1GLDYlUSgmIzg3MzQ7RidGNkY5LyUrZXhlY3V0YWJsZUdGREZARitGYXBGQC8lLGFjY2VudHVuZGVyR0ZERistSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuNGVtRicvJSZkZXB0aEdGanAvJSpsaW5lYnJlYWtHUSVhdXRvRictRiw2JVEiZkYnRjZGOUZhcEZARitGYXBGQEYrRmFwRkBGK0ZhcEZA

ISIk

A verifica\303\247\303\243o gr\303\241fica destes resultados pode ser vista na Figura 5.8:

ISIk

A verifica\303\247\303\243o destes resultados podem ser vistos na Figura 5.8:

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

-%%PLOTG6*-%'CURVESG6&7fy7$$!$+#!""$!0Q"*pj"*3-$!#97$$!/&**)z&p*y>!#7$!0J^nUM'=I!#97$$!/">Q7r1'>!#7$!0Rf(z1$e,$!#97$$!/4='f#4S>!#7$!04JVhE=,$!#97$$!0_.2mx$>>!#8$!0$)e9/9q+$!#97$$!0\)pz6w)*=!#8$!0ECML:;+$!#97$$!0d8F1Z'z=!#8$!0x$z'pVi*H!#97$$!0a3<]b)f=!#8$!0O8@u30*H!#97$$!0.05/(QR=!#8$!03>x(3i%)H!#97$$!0d9HA%)*==!#8$!09Gj'*R!zH!#97$$!0U$o;u*zz"!#8$!0Y^EsdQ(H!#97$$!0mJjA7&z<!#8$!0%=tdH'*pH!#97$$!0,,-G-(e<!#8$!/))*[BNl'H!#87$$!0;Kk)o!yt"!#8$!0'yFb5IkH!#97$$!0d8FIqwr"!#8$!0w1f#oVjH!#97$$!0*ydbVQ*p"!#8$!/@*eNFQ'H!#87$$!0*)ydfSwn"!#8$!0R*)z%HzlH!#97$$!0[&4z2Af;!#8$!0VC&4TsoH!#97$$!0$oO`TzP;!#8$!0ZpD2AN(H!#97$$!0(\**ez#)=;!#8$!0&H\#)***)yH!#97$$!0%*)yP!>!)f"!#8$!/Yf@p$e)H!#87$$!/'>R-/#y:!#7$!0mD3KDK*H!#97$$!0Ryc8Hvb"!#8$!0Bm<`h9+$!#97$$!0OrU8V&Q:!#8$!0$*y[[;#4I!#97$$!0<Mo;k!=:!#8$!0nNXTbu,$!#97$$!0)e<vAz'\"!#8$!0wa_z#\DI!#97$$!0xa4.v#y9!#8$!0NebyU<.$!#97$$!/&**)**eFe9!#7$!01!o`')RPI!#97$$!0-.1%[hP9!#8$!0'z(RVP</$!#97$$!0iC\--uT"!#8$!0>c7")HU/$!#97$$!0;Kk3XyR"!#8$!094`/)yWI!#97$$!0-.1WIhP"!#8$!/[PV%3J/$!#87$$!0kFb')=mN"!#8$!0hT7"\YRI!#97$$!0OsW4'yN8!#8$!0WnjydL.$!#97$$!0pPv]3pJ"!#8$!02)zDk$f-$!#97$$!0(Rz=.F'H"!#8$!0flc[cf,$!#97$$!0zd:R^oF"!#8$!0[*yf$R]+$!#97$$!0V'G<Ibc7!#8$!03T*GHR#*H!#97$$!0;Jik2nB"!#8$!0J*fDl@zH!#97$$!0b4>QJf@"!#8$!0'***GOm]'H!#97$$!0D]+P@f>"!#8$!0&yL<ai^H!#97$$!029GCea<"!#8$!0CVs9V'QH!#97$$!0,.1ck^:"!#8$!0^%y?b5FH!#97$$!0OrUx;l8"!#8$!0VP8-f"=H!#97$$!0nLnIW^6"!#8$!0C&QxCR5H!#97$$!0#\)p^Gg4"!#8$!0H"z1$>h!H!#97$$!0X!4)4Zc2"!#8$!0^iI@<Z!H!#97$$!0*zfz%Rh0"!#8$!0c"*4<!o1H!#97$$!0T"Gw(yW."!#8$!0F(pO/#G"H!#97$$!0(Rz)>Ad,"!#8$!0tb'3X_@H!#97$$!0*)yd:LV%**!#9$!0O)>x)y]$H!#97$$!0T#['43.v*!#9$!0Oc3!)p0&H!#97$$!0NpQ<v!Q&*!#9$!0yK[Nq/(H!#97$$!0OrU0a\N*!#9$!0d?b?;'*)H!#97$$!0'=Pu/SY"*!#9$!.3Qt@H,$!#77$$!/.17![\%*)!#8$!/=rd15OI!#87$$!0%)oP:FOu)!#9$!0U#pe5&*eI!#97$$!0'Hf=p/V&)!#9$!0#pH<HP!3$!#97$$!0mKl5_.N)!#9$!0-V>]$o)4$!#97$$!0zd:"R/U")!#9$!/"3Q*f$[6$!#87$$!0W([(46N%z!#9$!0c;8*yiDJ!#97$$!0['HfYcMx!#9$!0iw;AE58$!#97$$!0V&3<yTXv!#9$!0&fIkRyHJ!#97$$!0pQx9vjL(!#9$!/#HY#e"37$!#87$$!0W([(p[h8(!#9$!0@*Q`d8/J!#97$$!/,-/'4k$p!#8$!0vAiV=#zI!#97$$!0nLnM"yFn!#9$!.t5sAU/$!#77$$!0kFb5Fc`'!#9$!0u)*HCDS+$!#97$$!0'>Ry[$)Qj!#9$!0,h:qp`&H!#97$$!0">QwGb@h!#9$!07s'\(GP*G!#97$$!0`06#=#[#f!#9$!0M8I(p*=$G!#97$$!0oOtYFOs&!#9$!0B9+.FUw#!#97$$!/)f>*z,>b!#8$!0DAGmhEp#!#97$$!0rT$o?%4L&!#9$!0Z"[S*Qji#!#97$$!/17C#f/8&!#8$!0"R`3eMdD!#97$$!0rT$oC]J\!#9$!/t&zr_J\#!#87$$!0d9He!o=Z!#9$!0/-*\yLKC!#97$$!0@U%)[u3`%!#9$!0(HuOj=)Q#!#97$$!006AC&=9V!#9$!0\@6kU<N#!#97$$!0KkGd7k@%!#9$!0[5!R)f8M#!#97$$!0f<N!*R'=T!#9$!0d2()QN_L#!#97$$!0%*)yd*)*=-%!#9$!0Xq#f")pLB!#97$$!/.17!e^#R!#8$!0*y(\mwpL#!#97$$!0V&3</8@Q!#9$!/4%\1?iM#!#87$$!0b5@#G5<P!#9$!01wTyJ<O#!#97$$!0NqSTaEh$!#9$!0xu7*p$RQ#!#97$$!0:Ig+1#3N!#9$!0=t'He28C!#97$$!0&3<M39=L!#9$!0#fUIFm%[#!#97$$!0h@V1+j6$!#9$!0#**e4C$ye#!#97$$!)KK>H!"($!0#p/)e/er#!#97$$!0-05?)z0F!#9$!0aZmM.T)G!#97$$!0w_0rR5_#!#9$!0/iS&\g_I!#97$$!0oOt'y$)3B!#9$!/M`2wIoK!#87$$!0Z%*)ypN4@!#9$!0Pmgm!4([$!#97$$!0Y"HeG!=">!#9$!0(p2Qz!>r$!#97$$!0b4>e"49<!#9$!0-hn!R\OR!#97$$!0([(\fQC^"!#9$!0BiOfIT:%!#97$$!0=Nq!)*o)H"!#9$!0v3Z:8LN%!#97$$!0LmKX'p+7!#9$!0%Q"ejcUU%!#97$$!0\(\*4.F5"!#9$!0V:gMOSZ%!#97$$!0f=P4?&y5!#9$!0T*HoS/#[%!#97$$!/(Rz3PV0"!#8$!0[Tt&e-)[%!#97$$!/3;#3a,."!#8$!06"HA:z"\%!#97$$!0">Qw5(f+"!#9$!0:+\SNJ\%!#97$$!0:Igq!)y")*!#:$!0O*f`d$=\%!#97$$!0@T#[10w&*!#:$!0/Z_=aw[%!#97$$!0F_/f?UL*!#:$!0F;eDN.[%!#97$$!0LjE`!R#4*!#:$!0^eL;1'pW!#97$$!0:Gc7T$e!)!#:$!0u.#=(y!yV!#97$$!0(Hf=<HCq!#:$!0v))e%fJ#>%!#97$$!0nLnM$\#*f!#:$!0e%HBYd#)Q!#97$$!0Ou[(\pg\!#:$!0>TP&fA<M!#97$$!0e;Lm%fMS!#:$!/z!**\@f%G!#87$$!0ze<N%\3J!#:$!0f2<_%4A@!#97$$!0D^-0y*fD!#:$!0`B$)o"GE;!#97$$!0rV([<Y6?!#:$!0:JUEU&*3"!#97$$!0<OsWXHY"!#:$!0pEB6.4C&!#:7$$!0E'Gd9HW"*!#;$"0HO[C_hU&!#;7$$!02NqShXb%!#;$"01H'H^x``!#:7$$"0-6;Kko^$!#=$"0z(RXi^.5!#97$$"0HnMp)*[i%!#;$"0">,qpv]9!#97$$"0[=PuGY@*!#;$"0#=x)[*pr=!#97$$"0(f>RQ5&*>!#:$"0l](R-hSF!#97$$"03?S![uoI!#:$"0RV4Au\W$!#97$$"0Qxa4JM4%!#:$"0CJDWg#oR!#97$$"0nMpQ<"=^!#:$"0[=1m[BN%!#97$$"0xa4>SI.'!#:$"0jPKN)=(e%!#97$$"0([(\*H'z%p!#:$"0#R*p`#RLZ!#97$$"0lHf=ECY(!#:$"0#=@.*[Cy%!#97$$"0V%)oP*)o(z!#:$"0YAm6T7"[!#97$$"0#=Os47M#)!#:$"/twVS"*=[!#87$$"0ARyc_8\)!#:$"0b/oHaD#[!#97$$"0h;L;%e[()!#:$"08,$)3%[A[!#97$$".%zed"e+*!#8$"0Gm;v6!>[!#97$$"0LmKDcT+"!#9$"0v&)*pTJwZ!#97$$"0F`1$4t26!#9$"0\1y_A$*p%!#97$$"0_.2u&*QJ"!#9$"08`Tj'\)[%!#97$$"0w_0"p.0:!#9$"0d/)RcZhU!#97$$"0-.1__Hq"!#9$"00uaB(*f,%!#97$$"0>Qw7Pw!>!#9$"0h]H1j;w$!#97$$"0sU&3`m6@!#9$"0Ex'e?8:N!#97$$"0Fa3PL:K#!#9$"0-Bv_1eF$!#97$$"0'=Pu_Q1D!#9$"0kJCzC?3$!#97$$"0Ryct%[9F!#9$"0*[?41[()G!#97$$"0%oOt'QM#H!#9$"0=KE(>j?F!#97$$"0x_0^/[7$!#9$"0'z6mWm)e#!#97$$"0b4>)Rm2L!#9$"0s&\F:v$\#!#97$$"/&**)z:5DN!#8$"0**oT$Q<6C!#97$$"0e;Lm+sh$!#9$"0RF0)\u&Q#!#97$$"0nLnu*H4P!#9$"0M>*HzulB!#97$$"0)oPvGV;Q!#9$"0ng+oY!\B!#97$$"/,-/gcBR!#8$"0O\P7d!RB!#97$$"/%ze(pR=S!#8$"0$)*od;]NB!#97$$"0pQx%zA8T!#9$"0mB#\6hOB!#97$$"0%)oPbss@%!#9$"0NM;mPGM#!#97$$"0**)zfrJ@V!#9$"/'\]L1RN#!#87$$"0Y#\)Hn%>X!#9$"0a!36m&oQ#!#97$$"0_/4=;is%!#9$"0wM&=R7NC!#97$$"0)[(\>wg"\!#9$"0*p@s05*[#!#97$$"0uY$pe'37&!#9$"0R"*[iyYb#!#97$$"0lHfy%eL`!#9$"0A`vz8xi#!#97$$"0rS"Gsv=b!#9$"0'>ZB*[Hp#!#97$$"0Z$pQ&[(=d!#9$"0"42)4jGw#!#97$$"0He;8f`#f!#9$"0`")evRB$G!#97$$"0@U%)G([Fh!#9$"0)f_d$Qd*G!#97$$"0%oOtm0Bj!#9$"0<`W<a8&H!#97$$"0He;8.-a'!#9$"0Bd0'GB0I!#97$$"017C))=`t'!#9$"0Wr:n(yXI!#97$$"0#['HfYO%p!#9$".$o"***Q!3$!#77$$"0c6BYAC8(!#9$"//'GGaQ5$!#87$$"0u[(\V!)Qt!#9$"0fFFIh57$!#97$$"0c5@i$*H`(!#9$"0>tB[i&HJ!#97$$"07C[Oxft(!#9$"0t3S+%3JJ!#97$$"0*oPv5VMz!#9$"0[!Q6,1EJ!#97$$"0(Hf=P>U")!#9$"0V!)GR")[6$!#97$$"0$f=PQHU$)!#9$"0MC37N%*4$!#97$$"0uZ&4^#pa)!#9$"03cgn@+3$!#97$$"0He;$>')\()!#9$"0R%H!)oHeI!#97$$"0([(\zRj$*)!#9$"0"))yBh7PI!#97$$"0w^.Zk+:*!#9$"/y'fNMD,$!#87$$"/#RyOA7M*!#8$"/v=/!Q6*H!#87$$"0#Rycl.X&*!#9$"0<G&)3+)pH!#97$$"0b3<u7,u*!#9$"0Q?oD#[^H!#97$$"0Pu[x>n&**!#9$"01H:>3U$H!#97$$"0([(\bGW,"!#8$"0@]oJdA#H!#97$$"0&4>QurN5!#8$"09<P\sB"H!#97$$"/17W*>^0"!#7$"0u&\a,*o!H!#97$$"0">QOKMw5!#8$"02J*H>s/H!#97$$"0rT$[`l%4"!#8$"0'>a/<$f!H!#97$$"0mJjq5b6"!#8$"0^pG&=^5H!#97$$"0"Gc_flN6!#8$"0E63+-y"H!#97$$"0'>RQ!)yb6!#8$"0."GpUWFH!#97$$"0b4>1Ye<"!#8$"0_LdI())QH!#97$$"0e:Ja:^>"!#8$"02=,*R5^H!#97$$"028EOYf@"!#8$".Ao1%3lH!#77$$"/,-W'*zN7!#7$"0mevv3'yH!#97$$"/#RyG%pc7!#7$"0)[(*Q2\#*H!#97$$"/.1s*3cF"!#7$"0#y0!f.V+$!#97$$"0)\**QK^'H"!#8$"0&zDW(*3;I!#97$$"/,-%)e`;8!#7$"0mVZ)yxDI!#97$$"0$oO$z4lL"!#8$"0s)4)37O.$!#97$$"0[&4>EPd8!#8$"0R5LjZ'RI!#97$$"03;K/)ew8!#8$"0'\YmN<VI!#97$$"0lHfEniR"!#8$"0X))*zFvWI!#97$$"0lIhY&*zT"!#8$"0#G9!*p=WI!#97$$"0He;dowV"!#8$".3%R;tTI!#77$$"0=Nq+)yd9!#8$"0L?n&H_PI!#97$$"0'Gda*[#y9!#8$"0Q"e#z`<.$!#97$$"0nMpacq\"!#8$"0jVQ\+a-$!#97$$"0yc8$[5<:!#8$"/x$*zZ$y,$!#87$$"0nMp]+q`"!#8$"0sx/=[)4I!#97$$"0Rxap#Ge:!#8$"07>Ytd6+$!#97$$"0iC\Ijqd"!#8$"0nc\cqO*H!#97$$"0uZ&HAt)f"!#8$"0wuci&e&)H!#97$$"04<Mw'G=;!#8$"0_[1Op!zH!#97$$"0"Gc_\jP;!#8$"0%R@#pkN(H!#97$$"0zd:ZS%e;!#8$"0&[sZ[()oH!#97$$"0$e;`,Lz;!#8$"0.di>$elH!#97$$"0w^.nO$)p"!#8$"0"y2Wf)Q'H!#97$$"0oOtu?&=<!#8$"0=8JmZM'H!#97$$"0%)oPV=#Q<!#8$"0xz$zNLkH!#97$$"0MoO$4df<!#8$"0U$Q?nlmH!#97$$"0d8FyY!y<!#8$"0Z+QJ(opH!#97$$"0=Nq'pE*z"!#8$"/GA$[^T(H!#87$$"/%ze0:#>=!#7$"0&)y^e,"zH!#97$$"/(RzYq*Q=!#7$"/v6fT]%)H!#87$$"0*yd&fT(e=!#8$"0M%\Mf=!*H!#97$$"0OrU*o!*y=!#8$"0_A7(>.'*H!#97$$"0LlIx"G+>!#8$"0`Y.!3.-I!#97$$"/">QW!))>>!#7$"0A?GkRr+$!#97$$"0@U%[oAR>!#8$"0[kx&3k6I!#97$$"0#HeOy!*f>!#8$"0aS%H$)p:I!#97$$"/,-/Qa!)>!#7$"0yobeS)=I!#97$$"$+#!""$"/3ghA*3-$!#8-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q)y~=~f(x)6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""$-%'CURVESG6&7dw7$$!$+#!""$"#I!""7$$!/&**)z&p*y>!#7$"#I!""7$$!/">Q7r1'>!#7$"#I!""7$$!/4='f#4S>!#7$"#I!""7$$!0_.2mx$>>!#8$"#I!""7$$!0\)pz6w)*=!#8$"#I!""7$$!0d8F1Z'z=!#8$"#I!""7$$!0a3<]b)f=!#8$"#I!""7$$!0.05/(QR=!#8$"#I!""7$$!0d9HA%)*==!#8$"#I!""7$$!0U$o;u*zz"!#8$"#I!""7$$!0mJjA7&z<!#8$"#I!""7$$!0,,-G-(e<!#8$"#I!""7$$!0;Kk)o!yt"!#8$"#I!""7$$!0d8FIqwr"!#8$"#I!""7$$!0*ydbVQ*p"!#8$"#I!""7$$!0*)ydfSwn"!#8$"#I!""7$$!0[&4z2Af;!#8$"#I!""7$$!0$oO`TzP;!#8$"#I!""7$$!0(\**ez#)=;!#8$"#I!""7$$!0%*)yP!>!)f"!#8$"#I!""7$$!/'>R-/#y:!#7$"#I!""7$$!0Ryc8Hvb"!#8$"#I!""7$$!0OrU8V&Q:!#8$"#I!""7$$!0<Mo;k!=:!#8$"#I!""7$$!0)e<vAz'\"!#8$"#I!""7$$!0xa4.v#y9!#8$"#I!""7$$!/&**)**eFe9!#7$"#I!""7$$!0-.1%[hP9!#8$"#I!""7$$!0iC\--uT"!#8$"#I!""7$$!0;Kk3XyR"!#8$"#I!""7$$!0-.1WIhP"!#8$"#I!""7$$!0kFb')=mN"!#8$"#I!""7$$!0OsW4'yN8!#8$"#I!""7$$!0pPv]3pJ"!#8$"#I!""7$$!0(Rz=.F'H"!#8$"#I!""7$$!0zd:R^oF"!#8$"#I!""7$$!0V'G<Ibc7!#8$"#I!""7$$!0;Jik2nB"!#8$"#I!""7$$!0b4>QJf@"!#8$"#I!""7$$!0D]+P@f>"!#8$"#I!""7$$!029GCea<"!#8$"#I!""7$$!0,.1ck^:"!#8$"#I!""7$$!0OrUx;l8"!#8$"#I!""7$$!0nLnIW^6"!#8$"#I!""7$$!0#\)p^Gg4"!#8$"#I!""7$$!0X!4)4Zc2"!#8$"#I!""7$$!0*zfz%Rh0"!#8$"#I!""7$$!0T"Gw(yW."!#8$"#I!""7$$!0(Rz)>Ad,"!#8$"#I!""7$$!0*)yd:LV%**!#9$"#I!""7$$!0T#['43.v*!#9$"#I!""7$$!0NpQ<v!Q&*!#9$"#I!""7$$!0OrU0a\N*!#9$"#I!""7$$!0'=Pu/SY"*!#9$"#I!""7$$!/.17![\%*)!#8$"#I!""7$$!0%)oP:FOu)!#9$"#I!""7$$!0'Hf=p/V&)!#9$"#I!""7$$!0mKl5_.N)!#9$"#I!""7$$!0zd:"R/U")!#9$"#I!""7$$!0W([(46N%z!#9$"#I!""7$$!0['HfYcMx!#9$"#I!""7$$!0V&3<yTXv!#9$"#I!""7$$!0pQx9vjL(!#9$"#I!""7$$!0W([(p[h8(!#9$"#I!""7$$!/,-/'4k$p!#8$"#I!""7$$!0nLnM"yFn!#9$"#I!""7$$!0kFb5Fc`'!#9$"#I!""7$$!0'>Ry[$)Qj!#9$"#I!""7$$!0">QwGb@h!#9$"#I!""7$$!0`06#=#[#f!#9$"#I!""7$$!0oOtYFOs&!#9$"#I!""7$$!/)f>*z,>b!#8$"#I!""7$$!0rT$o?%4L&!#9$"#I!""7$$!/17C#f/8&!#8$"#I!""7$$!0rT$oC]J\!#9$"#I!""7$$!0d9He!o=Z!#9$"#I!""7$$!0@U%)[u3`%!#9$"#I!""7$$!006AC&=9V!#9$"#I!""7$$!0f<N!*R'=T!#9$"#I!""7$$!/.17!e^#R!#8$"#I!""7$$!0b5@#G5<P!#9$"#I!""7$$!0:Ig+1#3N!#9$"#I!""7$$!0&3<M39=L!#9$"#I!""7$$!0h@V1+j6$!#9$"#I!""7$$!)KK>H!"($"#I!""7$$!0-05?)z0F!#9$"#I!""7$$!0w_0rR5_#!#9$"#I!""7$$!0oOt'y$)3B!#9$"#I!""7$$!0Z%*)ypN4@!#9$"#I!""7$$!0Y"HeG!=">!#9$"#I!""7$$!0b4>e"49<!#9$"#I!""7$$!0([(\fQC^"!#9$"#I!""7$$!0=Nq!)*o)H"!#9$"#I!""7$$!0\(\*4.F5"!#9$"#I!""7$$!0LjE`!R#4*!#:$"#I!""7$$!0(Hf=<HCq!#:$"#I!""7$$!0Ou[(\pg\!#:$"#I!""7$$!0ze<N%\3J!#:$"#I!""7$$!0E'Gd9HW"*!#;$"#I!""7$$"0[=PuGY@*!#;$"#I!""7$$"03?S![uoI!#:$"#I!""7$$"0nMpQ<"=^!#:$"#I!""7$$"0([(\*H'z%p!#:$"#I!""7$$".%zed"e+*!#8$"#I!""7$$"0F`1$4t26!#9$"#I!""7$$"0_.2u&*QJ"!#9$"#I!""7$$"0w_0"p.0:!#9$"#I!""7$$"0-.1__Hq"!#9$"#I!""7$$"0>Qw7Pw!>!#9$"#I!""7$$"0sU&3`m6@!#9$"#I!""7$$"0Fa3PL:K#!#9$"#I!""7$$"0'=Pu_Q1D!#9$"#I!""7$$"0Ryct%[9F!#9$"#I!""7$$"0%oOt'QM#H!#9$"#I!""7$$"0x_0^/[7$!#9$"#I!""7$$"0b4>)Rm2L!#9$"#I!""7$$"/&**)z:5DN!#8$"#I!""7$$"0nLnu*H4P!#9$"#I!""7$$"/,-/gcBR!#8$"#I!""7$$"0pQx%zA8T!#9$"#I!""7$$"0**)zfrJ@V!#9$"#I!""7$$"0Y#\)Hn%>X!#9$"#I!""7$$"0_/4=;is%!#9$"#I!""7$$"0)[(\>wg"\!#9$"#I!""7$$"0uY$pe'37&!#9$"#I!""7$$"0lHfy%eL`!#9$"#I!""7$$"0rS"Gsv=b!#9$"#I!""7$$"0Z$pQ&[(=d!#9$"#I!""7$$"0He;8f`#f!#9$"#I!""7$$"0@U%)G([Fh!#9$"#I!""7$$"0%oOtm0Bj!#9$"#I!""7$$"0He;8.-a'!#9$"#I!""7$$"017C))=`t'!#9$"#I!""7$$"0#['HfYO%p!#9$"#I!""7$$"0c6BYAC8(!#9$"#I!""7$$"0u[(\V!)Qt!#9$"#I!""7$$"0c5@i$*H`(!#9$"#I!""7$$"07C[Oxft(!#9$"#I!""7$$"0*oPv5VMz!#9$"#I!""7$$"0(Hf=P>U")!#9$"#I!""7$$"0$f=PQHU$)!#9$"#I!""7$$"0uZ&4^#pa)!#9$"#I!""7$$"0He;$>')\()!#9$"#I!""7$$"0([(\zRj$*)!#9$"#I!""7$$"0w^.Zk+:*!#9$"#I!""7$$"/#RyOA7M*!#8$"#I!""7$$"0#Rycl.X&*!#9$"#I!""7$$"0b3<u7,u*!#9$"#I!""7$$"0Pu[x>n&**!#9$"#I!""7$$"0([(\bGW,"!#8$"#I!""7$$"0&4>QurN5!#8$"#I!""7$$"/17W*>^0"!#7$"#I!""7$$"0">QOKMw5!#8$"#I!""7$$"0rT$[`l%4"!#8$"#I!""7$$"0mJjq5b6"!#8$"#I!""7$$"0"Gc_flN6!#8$"#I!""7$$"0'>RQ!)yb6!#8$"#I!""7$$"0b4>1Ye<"!#8$"#I!""7$$"0e:Ja:^>"!#8$"#I!""7$$"028EOYf@"!#8$"#I!""7$$"/,-W'*zN7!#7$"#I!""7$$"/#RyG%pc7!#7$"#I!""7$$"/.1s*3cF"!#7$"#I!""7$$"0)\**QK^'H"!#8$"#I!""7$$"/,-%)e`;8!#7$"#I!""7$$"0$oO$z4lL"!#8$"#I!""7$$"0[&4>EPd8!#8$"#I!""7$$"03;K/)ew8!#8$"#I!""7$$"0lHfEniR"!#8$"#I!""7$$"0lIhY&*zT"!#8$"#I!""7$$"0He;dowV"!#8$"#I!""7$$"0=Nq+)yd9!#8$"#I!""7$$"0'Gda*[#y9!#8$"#I!""7$$"0nMpacq\"!#8$"#I!""7$$"0yc8$[5<:!#8$"#I!""7$$"0nMp]+q`"!#8$"#I!""7$$"0Rxap#Ge:!#8$"#I!""7$$"0iC\Ijqd"!#8$"#I!""7$$"0uZ&HAt)f"!#8$"#I!""7$$"04<Mw'G=;!#8$"#I!""7$$"0"Gc_\jP;!#8$"#I!""7$$"0zd:ZS%e;!#8$"#I!""7$$"0$e;`,Lz;!#8$"#I!""7$$"0w^.nO$)p"!#8$"#I!""7$$"0oOtu?&=<!#8$"#I!""7$$"0%)oPV=#Q<!#8$"#I!""7$$"0MoO$4df<!#8$"#I!""7$$"0d8FyY!y<!#8$"#I!""7$$"0=Nq'pE*z"!#8$"#I!""7$$"/%ze0:#>=!#7$"#I!""7$$"/(RzYq*Q=!#7$"#I!""7$$"0*yd&fT(e=!#8$"#I!""7$$"0OrU*o!*y=!#8$"#I!""7$$"0LlIx"G+>!#8$"#I!""7$$"/">QW!))>>!#7$"#I!""7$$"0@U%[oAR>!#8$"#I!""7$$"0#HeOy!*f>!#8$"#I!""7$$"/,-/Qa!)>!#7$"#I!""7$$"$+#!""$"#I!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q&y~=~36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%*THICKNESSG6#""$-%'CURVESG6&7dw7$$!$+#!""$!#I!""7$$!/&**)z&p*y>!#7$!#I!""7$$!/">Q7r1'>!#7$!#I!""7$$!/4='f#4S>!#7$!#I!""7$$!0_.2mx$>>!#8$!#I!""7$$!0\)pz6w)*=!#8$!#I!""7$$!0d8F1Z'z=!#8$!#I!""7$$!0a3<]b)f=!#8$!#I!""7$$!0.05/(QR=!#8$!#I!""7$$!0d9HA%)*==!#8$!#I!""7$$!0U$o;u*zz"!#8$!#I!""7$$!0mJjA7&z<!#8$!#I!""7$$!0,,-G-(e<!#8$!#I!""7$$!0;Kk)o!yt"!#8$!#I!""7$$!0d8FIqwr"!#8$!#I!""7$$!0*ydbVQ*p"!#8$!#I!""7$$!0*)ydfSwn"!#8$!#I!""7$$!0[&4z2Af;!#8$!#I!""7$$!0$oO`TzP;!#8$!#I!""7$$!0(\**ez#)=;!#8$!#I!""7$$!0%*)yP!>!)f"!#8$!#I!""7$$!/'>R-/#y:!#7$!#I!""7$$!0Ryc8Hvb"!#8$!#I!""7$$!0OrU8V&Q:!#8$!#I!""7$$!0<Mo;k!=:!#8$!#I!""7$$!0)e<vAz'\"!#8$!#I!""7$$!0xa4.v#y9!#8$!#I!""7$$!/&**)**eFe9!#7$!#I!""7$$!0-.1%[hP9!#8$!#I!""7$$!0iC\--uT"!#8$!#I!""7$$!0;Kk3XyR"!#8$!#I!""7$$!0-.1WIhP"!#8$!#I!""7$$!0kFb')=mN"!#8$!#I!""7$$!0OsW4'yN8!#8$!#I!""7$$!0pPv]3pJ"!#8$!#I!""7$$!0(Rz=.F'H"!#8$!#I!""7$$!0zd:R^oF"!#8$!#I!""7$$!0V'G<Ibc7!#8$!#I!""7$$!0;Jik2nB"!#8$!#I!""7$$!0b4>QJf@"!#8$!#I!""7$$!0D]+P@f>"!#8$!#I!""7$$!029GCea<"!#8$!#I!""7$$!0,.1ck^:"!#8$!#I!""7$$!0OrUx;l8"!#8$!#I!""7$$!0nLnIW^6"!#8$!#I!""7$$!0#\)p^Gg4"!#8$!#I!""7$$!0X!4)4Zc2"!#8$!#I!""7$$!0*zfz%Rh0"!#8$!#I!""7$$!0T"Gw(yW."!#8$!#I!""7$$!0(Rz)>Ad,"!#8$!#I!""7$$!0*)yd:LV%**!#9$!#I!""7$$!0T#['43.v*!#9$!#I!""7$$!0NpQ<v!Q&*!#9$!#I!""7$$!0OrU0a\N*!#9$!#I!""7$$!0'=Pu/SY"*!#9$!#I!""7$$!/.17![\%*)!#8$!#I!""7$$!0%)oP:FOu)!#9$!#I!""7$$!0'Hf=p/V&)!#9$!#I!""7$$!0mKl5_.N)!#9$!#I!""7$$!0zd:"R/U")!#9$!#I!""7$$!0W([(46N%z!#9$!#I!""7$$!0['HfYcMx!#9$!#I!""7$$!0V&3<yTXv!#9$!#I!""7$$!0pQx9vjL(!#9$!#I!""7$$!0W([(p[h8(!#9$!#I!""7$$!/,-/'4k$p!#8$!#I!""7$$!0nLnM"yFn!#9$!#I!""7$$!0kFb5Fc`'!#9$!#I!""7$$!0'>Ry[$)Qj!#9$!#I!""7$$!0">QwGb@h!#9$!#I!""7$$!0`06#=#[#f!#9$!#I!""7$$!0oOtYFOs&!#9$!#I!""7$$!/)f>*z,>b!#8$!#I!""7$$!0rT$o?%4L&!#9$!#I!""7$$!/17C#f/8&!#8$!#I!""7$$!0rT$oC]J\!#9$!#I!""7$$!0d9He!o=Z!#9$!#I!""7$$!0@U%)[u3`%!#9$!#I!""7$$!006AC&=9V!#9$!#I!""7$$!0f<N!*R'=T!#9$!#I!""7$$!/.17!e^#R!#8$!#I!""7$$!0b5@#G5<P!#9$!#I!""7$$!0:Ig+1#3N!#9$!#I!""7$$!0&3<M39=L!#9$!#I!""7$$!0h@V1+j6$!#9$!#I!""7$$!)KK>H!"($!#I!""7$$!0-05?)z0F!#9$!#I!""7$$!0w_0rR5_#!#9$!#I!""7$$!0oOt'y$)3B!#9$!#I!""7$$!0Z%*)ypN4@!#9$!#I!""7$$!0Y"HeG!=">!#9$!#I!""7$$!0b4>e"49<!#9$!#I!""7$$!0([(\fQC^"!#9$!#I!""7$$!0=Nq!)*o)H"!#9$!#I!""7$$!0\(\*4.F5"!#9$!#I!""7$$!0LjE`!R#4*!#:$!#I!""7$$!0(Hf=<HCq!#:$!#I!""7$$!0Ou[(\pg\!#:$!#I!""7$$!0ze<N%\3J!#:$!#I!""7$$!0E'Gd9HW"*!#;$!#I!""7$$"0[=PuGY@*!#;$!#I!""7$$"03?S![uoI!#:$!#I!""7$$"0nMpQ<"=^!#:$!#I!""7$$"0([(\*H'z%p!#:$!#I!""7$$".%zed"e+*!#8$!#I!""7$$"0F`1$4t26!#9$!#I!""7$$"0_.2u&*QJ"!#9$!#I!""7$$"0w_0"p.0:!#9$!#I!""7$$"0-.1__Hq"!#9$!#I!""7$$"0>Qw7Pw!>!#9$!#I!""7$$"0sU&3`m6@!#9$!#I!""7$$"0Fa3PL:K#!#9$!#I!""7$$"0'=Pu_Q1D!#9$!#I!""7$$"0Ryct%[9F!#9$!#I!""7$$"0%oOt'QM#H!#9$!#I!""7$$"0x_0^/[7$!#9$!#I!""7$$"0b4>)Rm2L!#9$!#I!""7$$"/&**)z:5DN!#8$!#I!""7$$"0nLnu*H4P!#9$!#I!""7$$"/,-/gcBR!#8$!#I!""7$$"0pQx%zA8T!#9$!#I!""7$$"0**)zfrJ@V!#9$!#I!""7$$"0Y#\)Hn%>X!#9$!#I!""7$$"0_/4=;is%!#9$!#I!""7$$"0)[(\>wg"\!#9$!#I!""7$$"0uY$pe'37&!#9$!#I!""7$$"0lHfy%eL`!#9$!#I!""7$$"0rS"Gsv=b!#9$!#I!""7$$"0Z$pQ&[(=d!#9$!#I!""7$$"0He;8f`#f!#9$!#I!""7$$"0@U%)G([Fh!#9$!#I!""7$$"0%oOtm0Bj!#9$!#I!""7$$"0He;8.-a'!#9$!#I!""7$$"017C))=`t'!#9$!#I!""7$$"0#['HfYO%p!#9$!#I!""7$$"0c6BYAC8(!#9$!#I!""7$$"0u[(\V!)Qt!#9$!#I!""7$$"0c5@i$*H`(!#9$!#I!""7$$"07C[Oxft(!#9$!#I!""7$$"0*oPv5VMz!#9$!#I!""7$$"0(Hf=P>U")!#9$!#I!""7$$"0$f=PQHU$)!#9$!#I!""7$$"0uZ&4^#pa)!#9$!#I!""7$$"0He;$>')\()!#9$!#I!""7$$"0([(\zRj$*)!#9$!#I!""7$$"0w^.Zk+:*!#9$!#I!""7$$"/#RyOA7M*!#8$!#I!""7$$"0#Rycl.X&*!#9$!#I!""7$$"0b3<u7,u*!#9$!#I!""7$$"0Pu[x>n&**!#9$!#I!""7$$"0([(\bGW,"!#8$!#I!""7$$"0&4>QurN5!#8$!#I!""7$$"/17W*>^0"!#7$!#I!""7$$"0">QOKMw5!#8$!#I!""7$$"0rT$[`l%4"!#8$!#I!""7$$"0mJjq5b6"!#8$!#I!""7$$"0"Gc_flN6!#8$!#I!""7$$"0'>RQ!)yb6!#8$!#I!""7$$"0b4>1Ye<"!#8$!#I!""7$$"0e:Ja:^>"!#8$!#I!""7$$"028EOYf@"!#8$!#I!""7$$"/,-W'*zN7!#7$!#I!""7$$"/#RyG%pc7!#7$!#I!""7$$"/.1s*3cF"!#7$!#I!""7$$"0)\**QK^'H"!#8$!#I!""7$$"/,-%)e`;8!#7$!#I!""7$$"0$oO$z4lL"!#8$!#I!""7$$"0[&4>EPd8!#8$!#I!""7$$"03;K/)ew8!#8$!#I!""7$$"0lHfEniR"!#8$!#I!""7$$"0lIhY&*zT"!#8$!#I!""7$$"0He;dowV"!#8$!#I!""7$$"0=Nq+)yd9!#8$!#I!""7$$"0'Gda*[#y9!#8$!#I!""7$$"0nMpacq\"!#8$!#I!""7$$"0yc8$[5<:!#8$!#I!""7$$"0nMp]+q`"!#8$!#I!""7$$"0Rxap#Ge:!#8$!#I!""7$$"0iC\Ijqd"!#8$!#I!""7$$"0uZ&HAt)f"!#8$!#I!""7$$"04<Mw'G=;!#8$!#I!""7$$"0"Gc_\jP;!#8$!#I!""7$$"0zd:ZS%e;!#8$!#I!""7$$"0$e;`,Lz;!#8$!#I!""7$$"0w^.nO$)p"!#8$!#I!""7$$"0oOtu?&=<!#8$!#I!""7$$"0%)oPV=#Q<!#8$!#I!""7$$"0MoO$4df<!#8$!#I!""7$$"0d8FyY!y<!#8$!#I!""7$$"0=Nq'pE*z"!#8$!#I!""7$$"/%ze0:#>=!#7$!#I!""7$$"/(RzYq*Q=!#7$!#I!""7$$"0*yd&fT(e=!#8$!#I!""7$$"0OrU*o!*y=!#8$!#I!""7$$"0LlIx"G+>!#8$!#I!""7$$"/">QW!))>>!#7$!#I!""7$$"0@U%[oAR>!#8$!#I!""7$$"0#HeOy!*f>!#8$!#I!""7$$"/,-/Qa!)>!#7$!#I!""7$$"$+#!""$!#I!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q'y~=~-36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%*THICKNESSG6#""$-%%VIEWG6$;$!$+#!""$"$+#!"";$!#]!""$"#]!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#"""-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#"""-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ(DEFAULT6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"y6"/%'familyGQ(DEFAULT6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5-%%ROOTG6'-%)BOUNDS_XG6#$"$g"!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%IP!""-%.BOUNDS_HEIGHTG6#$"%SO!""-%)CHILDRENG6"

Figura 5.8 Gr\303\241fico da fun\303\247\303\243o 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

Note como a fun\303\247\303\243o oscila mas se estabelesce em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4= para altos valores positivos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, e em 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 para altos valores negativos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn.

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>

with(RandomTools): randomize(): dispinf := proc(f) if (f = infinity) then return `∞`; elif (f = -infinity) then return -`∞`; elif (f = undefined) then return dne; else return f; end if; end: nn7 := Generate(integer(range=1..4)): nn8 := Generate(integer(range=1..4)): ff4 := sort(Generate(polynom(integer(range=-9..9),x,degree=nn7)),x): gg4 := sort(Generate(polynom(integer(range=-8..9),x,degree=nn8)),x): hh4 := ff4/gg4; ans41 := dispinf(limit(hh4,x=infinity)): ans42 := dispinf(limit(hh4,x=-infinity)): ans4 := {y=ans41,y=ans42};

KiYsKiokSSJ4RzYiIiIlIiIqKiRGJSIiJCIiJiokRiUiIiMhIiJGJSEiKiIiIiwoRiwhIilGJUYqRipGMEYu

PCMvSSJ5RzYiLCRJKWluZmluaXR5RyUqcHJvdGVjdGVkRyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Quest\303\243o 5.4</Text-field>

Encontre todas as ass\303\255ntotas horizontais de f (x) = `$hh4` Identificando cada ass\303\255ntota como equa\303\247\303\243o y = L para um valor apropriado de L, insira a sua resposta na forma {y = L} ou {y = L1 , y = L2} .

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>

ans4;

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

rr4 := eval(`$RESPONSE`,{infinity=`∞`}); evalb(`$ANSWER`=rr4);

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>

What limit condition(s) define a horizontal asymptote?

Replace this text with hint 2.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>What limit condition(s) define a horizontal asymptote?</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea3`, `value`); ANSWER := ans4; rr4 := eval(eval(parse(StudentResponse)),{infinity=`∞`}); if evalb(ANSWER=rr4) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfenced open='{' close='}' separators=','><mrow><mrow><mi>y</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mi>&infin;</mi></mrow></mrow></mrow></mfenced></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfenced open='{' close='}' separators=','><mrow><mrow><mi>y</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mi>&infin;</mi></mrow></mrow></mrow></mfenced></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Resumo</Text-field>

Uma das mais importantes ferramentas na avalia\303\247\303\243o de limites no infinito (ou em menos infinito) \303\251 o limite fundamental 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

Este fato \303\251 utilizado para avaliar limites no infinito de fun\303\247\303\265es racionais. Uma das aplica\303\247\303\265es fundamentais de limite no infinito \303\251 encontrar a ass\303\255ntota(s) horizontal(s) da fun\303\247\303\243o.

<Text-field style="Heading 1" layout="Heading 1">Pr\303\263ximo Cap\303\255tulo</Text-field>

O pr\303\263ximo cap\303\255tulo continua a discuss\303\243o de limites e limites no infinito. Dois dos t\303\263picos de discuss\303\243o no cap\303\255tulo seguinte ser\303\243o:

1- limites no infinito de polin\303\264mios racionais onde o grau do numerador \303\251 maior que o do denominador;

2- ass\303\255ntotas verticais e obl\303\255quas.

yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\ZKa:AR:?K;@k:HjB@jyMfOL;Hj:@J:B::FZ<^Z?VZ@FZ;FZ;J:B::F:AB;[j:LZ>VZ?nZ=nZ@NZ<V:@J:@K;HjJ@MCLjZ@o<@prDlCLk:AsJAuZEmbENc<yjEPsHlD@Y;EsSLM=HNLDTSEv;QmB@J:DJ;Dj:LJ;Dj;V:<J:FZKNZLF^=F`;Gd\\N`[Gh;PbKPdMFnk`ZyQUSr:=J;@k;@K:x]pIgd?[PPcgplcGba?d@?nm`yniq=WoBGtNI\\b`_iAdY@oDg_[@o]>dSoyuwnainPvqbX^JKwlMtETgeK;Qm<xsmITdil^pp@HNGQm<xSoAKoEk?]Po\\JdUky\\t]\\T_p<aeK=WmIexCFicibdm=MMolKeYQNYNNo`bOwVFtbXhSoq[p]_@_SinfXh@GpGqftajHhvon`cWwVFtfXhSoq_x_LOmU``oqkbots^oIQdIPdT<jYEoAkTPMA]@^dI`dTpnGic]Omonkew_Oi^dYlMofhHpGQ]Ai`QPwLhxCGomxdRovGXfTXsoA_oIcd`wNqtsVnRovlhyDgaDOgf_tP=NdwNdd_gN=bLAEVMTjecGM]MatPffU@oLq]aW\\NpbeOawirpXsPWpIFvCPeAI[Pxfrvj^`tK>oiV_aaeyNxEouLgxqw[vijeoylvmnyjd`tK>OUSy?XvmiyObFOyp=F[CE=WFJYV\\SyMkIsyGwIvdgXHA_jpxWYbFAk>Nw]V`LxwdylwNeSYofXh@kldYLqUcd`OqtsVNDuXIoKQWuhtNIue:OxHcg]UYGUSeSwVG\\^OynPi^`tppprXx@?qmIe=vhDXfqOkdopPytX>gPmIUoAUOGUSeUwVHDNdwJEQWea=fYucLov`e;rect]ttLQuttRnXWIhpMPwLexcEOgeykqVGHx`MPwLUwLUdUUY]usU>tkPyMedCgXHjxDoXBUghom;pUcb`qnttbP=NmUh@:beGWmutRoVGV_OY^Oq^`hsW;ZcFom<VSKTwMTdHOfTx@cleYLoIccXpMGeaeKfFdQL;:LSdaG:cfXC?:LtXs`e;:dC:JDmpdUGNP_L_@oSYOf:\\ntobGiEP=v^dQlQpf`HpGQ=eS_Oy^eYDGTmU<v?ASoEs@eSGW>xUcB_SEog@fYDobHuc\\_Gl_G_t_nNudS?P`N<M_@;C?qtOkdsbl`n@iVMQtTQQ<PWGtTdut[PLMLk_PlI]uOTnfllpEV[`THMkZlvMUPv<qZ`v=QUcDr>\\M<XnIMLf=U\\XMl=Rf@tHIM;EM\\TTnIJ?QKTYl[LsfmJOEkfTTfUt:EKBaLSQrCQK\\evfPjb`kg]kI@k;pu]Lwe=SBYYPiqPYM^tV_XY_`wGTXp^gxWg^XvKv\\fnbMW`JwqTIl_vhpHn?^rZIqppcL_hSQ^Bh]aVbp>_GIZDxchic`nvbpcrWnKObl^bHFsL>dBiaBHjDycGa[Fht;FlBo]bWZDOZ@vcnFaB>c?>b^qvX`nYPjU^\\N_m^`fA`h_OmcFq=_lNXv^Pfk?dDg\\DQgpng]xd<xoN>yXHZN_uiy^y^Z;_jrFvChd?AtB@fRo_RHvxGeVhqPh`kN`_^vmO_@fr:iuMFlDn^?Qu[vjMg`Fisl_lQY]hVt:prA?^o@ceifTAhR>s^yahO[oNbQg]ZVqwQtaYyNHgb@uZYf\\^iLOyqg_T@_GHb<Xxpifmwo]pokFdagcx_dRG_tP\\JX[GvZ_n[M`nOn[L_aL^tm?cZHv<H_Ch^b`lVNZKO[cHmZ>s_Hm;_r\\@mK@b_^_<@aZf`cNg?ab`_mm?boQf_@obH_bnj^OsH_dD?ab>slFdNadDPjdh`NNa?o^OwcLg`NVp<GnCp]B^tLWb\\h^b@xIGdJowF?_CPwGOsI`ZSAboY^Q_`LpfKg[KIo?O[@`^RHl\\AnR`bBWc<PiDXjc`fZHlbNhL`g\\xjb^hm>nZ?\\;V`^nqcOnMnl?Q]Lxsw`@Csb]TlmrbCs:cV@cbR]d_KTZ_hFMTascf[D<_cJWR@;CASVnKWvMt^[EbsRbMxJ=CoGBc?BNsHn=fLkHj?IJwUTmEvEC[?vsmwcSh[mB]gfRQi]]C_CSs]SEiGsaV_YxR;eiGrCYy]ChECW?WHXofUms\\AsB=h=KXlmJIDTb`XltRlQU;LNJEkSDnFho;LsWLLAMy@dVghSLtk^XMT<olqMxLsidSj@JieRbewDitidWSUQQQuOiYePLVenfllwEVbUS_PrvmLTEt[Ls_XL?LnSLtK`r\\xKnlKvITNTyDTlvdmphRH@SCup:ljlMW>mN=Tnb@JJTT;lnPAtJLsFQjgLnfPLK<RCLvfLptpJ]auv@qwIpIeqYmuY]vPYVh=q?`juhxAmxlmSwQLhPLlLrK`rLDrtMycpkPENV=YFtslLPtplOISV=SZ]qkxw\\iPqXlZYpSilHeooer@QsPuSKauDDlBmjVeTN@j^DSN\\RHEOOLNS<NOLr^mK_TSnTpZDkFTLc@j=DSKYlRmJLmVK]WO]rSItLLL:QoBLPILVlURkQO\\ho>avFLxLas_hR<<OfAXGIKpaJx@SZTNLLtRPVS`odlMCAL[gcVQpDHowFnKPr?wbKIePPnO_wQ@cK`dGWpBa_Ia]o`]jivwqqgXZVGZQh`LouWxbBFlVIdZvf]ff>HkaO^rIZCAhdx`hwvwY^[n[H^d=QqrIolNwhhgHqsY@eDQdXftPgd=qgCVhcv]tWtlPqdwlQH_DWurnrRvpy?ZVX_^hyoAmpqvqhaoQrA_dd`hcAbrWniF]HiZfob<Gr@xZBhdqVeW^p\\f^]vmTYfYHrjWuWw^LavJPemF^YHpsOxEA_Wxoiwhror`N_cPnNGe[fa[_tlp[uXvkF`jWvk^e\\ViL>a>^rk_wBWvTPt;xs<dH]V=?FM=XxOGc]UDCyH[h;KCH?i\\AD=_T:cHckCBCEtACE[iMst^Ar?]DH?GnmBB;U<Sd]sR^[V:OR:KdscFVIh^]E@Kg^IEGWXLGsKER@uC;CIb?eKOUoaV?atBKFE;Y[]fguhmmX>_SseH\\ovp]XaAWUucOmH=mF<SU?UE?mVLcftGVh]SJMXAQYi_icMF@UXjur\\CVSMRZKs?MVlgdR?EXMnsDO?LQeULfHtsPPThn_Is>YqJHmBPXDDvKHKXPsJYUcuk_`LO`vDHmt@MZexu]laHqU]RsLpG@UgxSmXm]qyJEKCEujlOoXkE<Wv<rVaqwuQsxiDgbIAkSWsRVxjvvShrEvnWxpay_nAoUpxZYaY`xeXdga_gykuQb[^he^lffjfHfLPwRI_gBcshnkBRkVkCE<CUS?v\\wCDmBx;c=KulCrS_VCIFY[Vl;I>?B\\[ra_M?QncupnLX==o\\lJLaxS<t]LkSTPI]Nqdp<dsfTlrpNDENFHTLlqCAMbTlLpkfATrqNVET=aoGeUXaUVWcGWhxHl^_[rovP>xDanR@q`WdfGoR`mmW[lobp>bUw[pXcIiohvlrHgTf^NpqYqvwYwipfqv\\fqsMfsfNpNvv@^_MP`mQq\\@snGuFNn\\@u\\om_?`WvZZAoFGsF^d:@hP`gKFdC_mcHZ@@_PpcO^dl_b;Gsj>]\\GjDP_xYukPgQqxfhobhfgxeTIpevZfflEnrD^yl`dh`Zb`td>\\SNk:w`BHoFGaF_vCoxb>oH`e<VljNhYPg\\>`@WcDwfL@f]N`baj<_cdafZNn\\^s:`\\B@cHP[\\`_<`\\ShdYie^atB_srQbkx\\nVl=y]wwiWHgioprfZXG`mN^k^sPH[gn_ExbU@qPQh:htgAvwXlkyrnYxAOsywg;gc=ggNWgY^lvgdeW[OPgcAfdpfvphnysl`_PPg?_[PPsfVl`ns<h]NGbJ`dBaf:hDCE\\_DDGUJ_j@Pv^Ds`MO\\LrS`lSLLaQoBLpAQLK<KheNNUX`mKJqRf`LFduFHUgLNs\\Kl<SmtQ?XnM@NHxnVQKI\\MLYnTTL^mS_HNYDWOmrRaMNIuuatBHVk=R<HNyQV:DNYdnMlsXeRZTP_Pm=<klYnwlmk<O_IlbxXjeUelm`PVeHUwYs^\\y^qu_yvhQMApwbpvOiw;lpkYuAMpMMY?tWkuO\\TNgISLYUAIN:MxWdNAQV<mThiNJ`nuuLQhN_aqEMsEmmMmok\\ksuLFIySLsyo[L_mpFxZ?]j?k]YymOcsxuy>\\=`r`?aahp^xum^gwim;`g>Q[e`lshZbXwBXkCY^c^m]@]_oQIR:KVQOu]wVCARxwuTCfMkf:qUowW`?bDev[ac\\IyowrSmhnmikuSo=GEyrqwh?eV>SvrKwxgBQYD[wVpQGogvpmGsidUwfYys_WruSFUGyWeYsAgrcrM[DdwuJSYB?UTgsLKdO=EfqVfwTh_hCOgQStYQI_Uu>UbHWidyI:gimyCcGYeeD<[VL=i^aiw?DW]BEEg>gwTcwMYue[gckDoEHXgVfUY`GhSwEpmwy;RVOwIifrcrMXtSDk=lMeMMJlPI=SPuxjqoA@ju=pTutCLskmnq`WFTvuXxbytdtqr<YkejRMqJXu?qVr`XUqJMivaUsLluKPuk\\shxuFEulhvriLDYNHEUwIVUaoa]kkUynpsxIn@xMBHTetxOqtD\\rBQVcpKMlQ[qxTaXsetbEL]lKCYPGDXMlvkDUyao\\xLquPQarn@mutJq]uHPyiHTkQKAdtydthARehtnhMFV_m?]]qdaqkWGqVYvvf`HPy=`j;xkigZXA`volOWy=_cCGa[GxTgeFVwIXkbFoV`b>gfIXoWGi_Y`PHasijKypJnks`fdxcw_dIOuyesQrHOWwmbuSWFMfTAiwIhtOwnagfSxPErDsbYwYMawmsFHEXgugqahSuhbyUdSCG_y<iSc;hLsHOiyH=sgYwOsb:YFM=F_QfVodlAG<Yw>SSWshwWdq?e@ieuMidoDJ_BA=HQuWYysb?qodMT`Rr<VNtjAyLdUKk<QuUSmimYdWEtRwIBtpj`OLAMLLp_YmrHwmXu=aSHaMuutXUL[Epj`vo\\L?mrRAyNtrvtOfXPmqmdXYsUlvOwUVcnVc;?sryjOybmwawQluOdxpZc@a[QvDHwv^yy^]rVvkqoYYcchgK_rpa_Hhn\\vgIq^TWqcFk:As^ObBiurypafqmwr@QdeIuHAeqNygGhhxol^s>VbOhKOioWISCDI[Sr[BgoS[ogG?WfmI\\QrFQeHQyx?Y<iUm]ckeepwcqMfa]UHQE_sYRoTGuDE]EM]XT=h\\iXAGTbGVZwYcQbHeFXkuFsCCeFpydNUV^oGNHs=YjZinpHUSmw^@LnLv>MPPMW[uLD`RFeTEEy]ekFuTiTQsIpK<Ka`J?tTBEx>]qPUyP]Rj=JjYUHuvdEkmYWAeMhEVQEvNYouiLhaONXVAPvJXl^Iqt<MTTX;YX<LukuR^XJ;ArSUpBYv:DSwhNk@r;]rKEm[lJl\\s]ML<InEpNs=X@mV@qkC=nAMmW<PJmpfAd[OkwSEabCADbCRn]TFsRNov^aUNOS;;vJos^]UD_btCBmGFWcigMU?[rFEc`afGKum<T`\\vmLvJisXUmL<Nu@LVUTZDX=MqpPsXyt\\tRSTSO<ULXkFPrPuuQQoaLVkDuext>\\urdVOtOAUk@pvRLum`yWYWUPOWpm`amclLMmkuPRw\\vRtOxDTMqSKupPpV@Nd_ojBPZ@`gNAk^IlDNo>Fanw`HNcgWj?F\\XFe\\Nns^kJau<>i:FrGFkvGtKwfhycsP^of\\bnjvi\\OgubPejHs_gwkY_LG]fNsVPpOg_PosDgo[`tR_dRhrBwJ?sReBDIVkED_ysDMsF=CiOCQ]RCgBUar:EbCMt`oH]?wmoFYcD^KhBABbMG;mVn]rDYrdqdd=HPOxB?iO]YRMfQWttsSpOxSMVCgetQv`giVSia[bQiVbaXs[HUmCmsi;QRmYsSEdYUTFIVtKv<IGU]iQSYWIhGEYV_Uh;vc;sseb>sge_GZsB>]eNGE<YX?mTKmFBqR?SCn?dbUb\\YRCsc^]RWCt@OV@ch]MsfOc]EeG?iawFTkcb;gm?fhCe>EeN[fSUhCeeFAf[Orbmvj;r^OUWucDmSe?CCgW<aSRCXdaw;MT\\;uHeX>Si<?cEYRmSDguEd]Sr[YO[tWxST\\rrama=RcpqMLuL=k]mjdEov=TYHNShSmXJU]N>qJ=Gh?OaE`]O^ihxaHaop_vxVg@@vnfxx?nxAtvhykIxqpgc`vpfkvXvHickidhq]Cv`PvkwPeYpkLngZ^cuw\\JVbQn[HV_HXdlqrwg]]_r<qtTiqkF\\DVesIw:@oa__OIdPqpopjf@cSql<x\\wNdSxta_uPWymNv[PakyoNxy:>[T_[@@kxYfa@unhoJXuNW_\\qsxomoim`Oyw`o>@bOYgrf]cyd`AeoWuqa]USy[GQYIQQUqaH@SwgyvM[R]wf<qh]wdncwC;ypyU__dvUdg@X;qUdmMD@KfYkMITG\\Svxity^]a_W?m`vsd_xNnd^odXVtno`yAZax`?Ig=ooQAdpgthBRirbScFmw_srH]E]?U?oGqEtV[brWXYQWcwU=yVxgTQiWPqwgsTf_sDYtWCeDAglyU>AR;WevIxAYEEeTRgvQUYryVfYrRUwDgiZ?YA]Tt=gsQITGBQ_wxQtnIfocrW_Xnid^_C;SSbCubSfJcht[TCSw]SRCsXdUugwdMSB<EYCyX@ufIwbQsdbASHyI:EwoAw_yfI=tPMyViV`?CXEvnqI]yCMuslgwliEQAYHKH<iWCSvgYw_GFvyqHmvjYQ`tYLuOsMUu@QntjdISV]SUExk\\rLpppIV>PRIyvYHvQyY:xMeyQqpOfPUjTQQik?lUO]jxuNCdxg]ra@VCLXChXIUwYEm>YNQHlXePvlrPdVKDQIevdTtYEM]uxgPy[]nBhJ=TK_aSo]K^HQg<ooYj@doxdvmMR`qxAaRWhyklktdVko_kp^:h]_hhbih@A`mnlDwkPwuQWq]NsF>ZqaleQqjWuvNhY>hfQ___][_kjIfvvvX`aPXydX]^hbkOZw>qO@cUGf[AxMOnbitaFfZ>iO^io?aIVs?FqFPvew[H>iIae?yvuW_Wia;Ao@WrZqk=ojevqA?]Box]HoiGwVydRfdRpr?o_Y`hc^nDifVHoO`s]W\\`ytTFkHYf?A_FOwrpmOYnsXoOOb=?a]_w\\YpdGxTwp:WrO^m`Xpyxfh_qpWwPiiOOqcN\\VHoK@fTQnmxfgVe<XiNowCPn`?^qp__qrv`gUOs\\F`EA_xqsr^cHAi]yloAgoY[o>isG`qijYpdTyhAN[xQym@^fnkZG`OopUIsgws>pjsFk_fgFpbm^si>]aW`V`eCwihGpYVufxZJvoyohyVrhYcuIOChPSCXEfm[elssypXcIM[UPKamximbAO<=JCIuKTTKiQ?XxI\\KtXuEEVOmr^@YB\\oNlrspJuxN]]odpJeplIMujxxfhkZdThUKa=SR\\mDmTYEWFAQ<EjTDpC<qRdJMLnUQLRHjkXRkpRK@jJLWYUWkIOAdW[tN:lKdHNBAQh]R^UpX\\XFulvuR^vZIHrIobwG\\BXvHP_:W`VPs^nwN^jROvFXnFHpF?`?Q`Voh`b;OeBSSL_D:CrvMhGARGgFbkF_qI^yfXUfBWH]cf^=SJsRn_V^GdaOE<]SD;I?KvC;r^<t`LVLyN:LT\\MsfAn@`LAAN^DX:AThDtaerqDRp\\SHPOo@kRLW>XX;=VHMQ^LVrmlXIKPpOxMMhhQfttxIo`AMHAQqPKfdPFmss`rt`XqiPKlLAEOApmOivQPNcmxsUQW]QZ]SyeJuYVEPqaMM\\TMndL]PlbmWViMKHJLHnN=J;=t>mKchjJqJGAr]uJ?ltB<VjEt:\\m<Iw_lKdhOhMKo@KZEP>QV_USHUJLmjdXKU\\YEhJa`KPpWRmPeMSSDOdtV_PuJaoVtlCxJ;iR?DYApK:Tkt<\\=VqbhnVImH>mGG\\MNjS>cAhrSbBsHN_SMaVS]b?MD_mXC]tNuuIWS\\QXfuwtQxeAdoEgc;vIcdZaylexnyr@muxsshUuDaiUCVHKxEAUT;EiywKGVesxHsByircHPWaQ=eYxenWAq^LsgUj^XS=<SV<tNEmF@KD`S^LRUdJ>EMl<Qc@JKPkB@J@dxl<LRLOLiO;=NS\\S>INWdt;=lDUM^NoLg[?q^MG^kAc@HrKfsCXbpN_fOwa^]PImmOt_Q\\PPl;ahPH[RFjC`dmG`?Qs@Oc^OwkaZU@bgad?GmDAk?>rBI_K`o<HknVbFflcWZI@fsanRIa:QhLG\\pw^N^]k^sdHnUX\\Yh^HAwUV^@XfJNqBpqcnm?ImB@mcPgr>d>@sIv]a?v[H]<NykWZA@]pI\\oiei@oQYvB@r`i\\UO_GpybVlSvkFY`pyoNVvixrivou`qGWxI`l_`g@_auGpDoZcim<wZIo_evjWxqaTBKesauNwYrcHcoBF]rwQS>IFuswiQdPcExIIrsRsofeUu?uSVwr>=vC_VrMyekgtsXPSI@eFoWHFwROASqeIPQg`ExnKekmcvGvqYUOir=CSAsDQww<atdMTdgIZAWfoXXwUDuUkidtqtXISI;d^YRsCYiuWOYVp?YuMfmQS?ubechu_cOIXLGyOwU`CtduuLIthEcSWePKF\\KvNAWROr\\]iKYISYcUsUosxh[hmctTOh]YxRCiReDmcHlsE>SHbEIHMV=EsSmxnACE=dPoUQIb^USFyUg_BVQSeqt=Uck;UegCR[v\\?Go_skUTTOePeSjAfVaDHGGmmb<GgUIYRIILKHROimyXUCyKOTgPV;tlc`vbtKDxTfUnaUk\\POyMwvpTCmkJAsF]RkxY:dPXPWoUQ[=KbQOUInJ<k^IUMEJhlkExmpQpsio@PVMPotxRmxMuIu`YQ=AVJ=prdoLdJGYvSEMIusoTsLqQRIo`mZLqleAghv[>q_N^xwQ\\Lf^d?[sXbH>aOPd[`s=AefadhHwkIlrgl]Hk:Wk`Gkj>sxqtsGoAgnRxl_Vgy^_JV^IiZS>om?k\\N^enkeagh>]`i\\\\HibFw_Nd[wmq@uT`vhqoBFhrfZMIZPH_cWv_FfVfujxkOf_\\V^?ImIWqXam\\weOFe]^_Aa^@?]snxa>\\@FecX`]irNH\\A>^L>tC_amhhwN^f^m;`_]X`Bvl;>q`pZZHwJHZ`adA@kp?_GQ^:a[JVZ\\ad=@hFgZDfbrq^<nlPXbtVsNGe^NsfOZ>O^]@jCU?gsJoClOFG]iDkDVMTaCbLcsvadS=d=;wZ[I<EeGCU`cX>scZcSdagW=Ga?wbsH`MBZkF<KGeWxdGBFiFXotb]WNOY^oUZCyOStCEY<iV\\AUEWvZIe]eea;sLsXfehyYVIqCdgIiwu<]HawdFEI[gHNmHf?ebQXi=i\\?IqiX]MyKccFifRSdZSRQ?VSKD[acB;gRYdXwSn?V^QH;CVQeR>iBJAXC=Sl;rRsHdagJ]h[OL?N`L_dDYvkNkfydcfZO>sFPd;^cHH_l>j^?jL?[^_bJOsFokbN^<G]C?lBXk[^lS`[=X\\hplGXfnhl@pptyy:nyyVxwo\\\\nxogy[gvfYyoNiBfiCaa\\piE@tSQk;yYYwy;riYCsoY[yGIih=yxfYwQeHlCF\\aDLIFQoFcqD;qf\\qFBSV?sRp_C?mHCMc?Mt`ecGAdD?Sl_c`SDdQfF=TM_fDOGCCcJqvBOtBqVCIg`KiJST\\WTY=VBgRAQG[Eyh_uTWgCWBj_rkuWPSFC?C;QXl]gUtOFHQN@m]=uNDs[MJ<yoDLnAHRg=TJlNHMXWumKdSlDPZxV?etmyMAHjL@kgTuLMW:@MXDkRLLWeTmu^q?>QR_;sj=ruKtKeROsBoCHJYiKmdCABdKW^MgOqwRmrrsRCUXQSI<]RWmfO=dpyH==bYcY[qtZ;XEWGkKrvsDwIXpUWcYfAyVUIfk[EsebpgCNIWBOvhoV@eF\\KvLcW@_wLKTHMgfKBV=XT[rB;Vl[C?mV@?GbCHbWV:SdwCs:?iZSc[eeBaT:cF>Se>]brcDjcE>OFsMH^khESfloSQeR>wBDIeNkccABB=FAmSD_cRMcwKG\\GclKTSCTPEt_CT`eRm_VSgsLOdn;GqaXS[C>;hSKwZ_R]Uc]OUSUSEovBmvEgfLoDV_EcKDrgf^eT>wEL]x[ECIGV<]SC[Bf;IZsrv_dn?BUYDR]D>;uFCxbMTHCyc;VLLoshVLLr^hLQ=sShnRqlL<J:HVT\\S^EunYtIaU^@xEMKTIN^PjsMpx`wN]RVlP;ISUdNgHOFIr]LV@=vB`vtHJGIN@DkbAJB`JmisEDoBlPdiUDDUHMvgDJImLLIl`mMDalBtKnlX`XjaPL?HnaLmwMSTIYhtXS=o@lO`LTsxkAEp><mFLtrdNGmP<ymPAlNHs[ALfYTEAj^\\j\\PLUXNsDRW`QLMTaeSO<jsxNRaL:\\YDYQN@lL=SaUtKPvFLP;Ml:dsFLW@qOYLXd<nddMBeqLlxYPKtDPOQY=LysUYxTwRuskTyCEXi`qf\\w_tNmIUxANepOUysqYWxAwvyTh\\yEuSXpul@Xe\\kOYq<qOvtO\\]K<`s``UJ=T=ANK@M?DNNTQN\\tSiQc]MWASZUyLPvDpKNDo^AMCEt\\ALitR_PsJPSfMX;iNHYs\\DJJUX[\\JcHNJhRJ`TS<k\\lJGeP>DuCLPSLj^EmCAlDUnEpY:ApftyqDT[uo?yt\\eX<au_TxEpSituYmTXpuIUpYqYxxY:lX^Hq:ay<]xLessqMApNWIJF=SitsZ@qpiYWPyxmObeV^Pp^AW;TkYXoiaO`PvTpKV`mO`pDujJIW]pxLIKMIp=<Xe<YNysCaK\\XWAhoxtSkUjCHytMvR=SpmxY<xLMwutYB]JZmmlYSj`OKpvamNIasltSHEx]DpEQoCux<XrpMsj@LheuoaqslvVpxbXVCpu@tRs]w?YlrlRAElYhRQhOq@tpXmvhKPAqcitEEXEHx>qr[<k[PRmeYZQWWIWHLP\\XnTmnm`PeeO_Qm?QRYytVYuq\\M?MXk\\JQhMEuRdasc`J^Dsl@KKxNo`voAvM]oV`xOhomxiXvo^ykCIctQfkpxPxaKguWqcZQrMN^rFfAh\\]`t_P_bN`h`bJ>ufpkixy:>_qibegxI@ylywYf`c@krY`MvxkGwuGkUadfQq^Gwv>i@fd[IqVihE^[bnaVoZ^nxp?ofQf_GpvxbqNyc^hcvkdYbCPtO?mBXuiNf`fx?PqpvhOAfNhomvj`iZyAZtwjKwut?f[^[`oiE>c?xvtVm=yhdHerwckXfY^llIqvWf?HtkhuHQ^m?q@ybWV_HxuwgfPGyu^mkggVwkZqpCQ\\tnjA?\\QgmdYnXgv]xxnvboXgSVuCxfbvtRhhdYeE@gu`c^>bZGeVWni?qFHjtHrb>m^IajAvbhhkpnjy[by]OGonPuHynma_m^Z?wm<Xp@A`AOuSWqgiuXxhMXZZPZ=vxe`pgo_dpiefh;qkZXnxHwxPnT?vT_iYO^mPwVyel@pOWfcYvM^xQ_svWd>QxUi[L`sdyhSGdC`jBxhTOqUNZlPiIavyAZqFtaw]gvv\\ie_?ofgrtpklh`tvolxuDOdliwhvy:Fggqdax]wAZyWjdAoYWpdW_x`]]Wvvqd\\ynIYqm^iFWihngFHvoGhF`k>WsYNiH`xhW_L^pF?[<FtAp\\OWoVYmfAnEowF@janm[>go?d?N`hWf`ynC@kYG`lFoopkeYh=^ff?fEF`Iav_`tiQpE@Zh`b>gjYYn;`vCwy:veKadeyahybsqic`]_IcyVcWOuMAqL^jfApDO\\Hfu]q[DvnJ_uUictHf\\VZ<vofqhMAoCns=A_DI\\bomEv_fxiypyJonv^vs`e\\oug?^F>xR^o]?qrpwvimaockx]\\_ukVsrx_xvixyjyEfSSrQixQeIQcwuGoieqsVxeu]]BxKsk=UhcFKSGhGxKdLIyY:@vXUlvdp>UYjTuUXYadslMpFXvTlQ]PMousmhLtIQTunXauv\\qkmKl`m<isSusoUQlHLqpsJ@yy=j<DqOQXVewfLPfUKBIvVYPtqXXyxSPKfiPJHj=QKkdLMDWmXXG`PqQnDqpt`kT@s;@OHPWaxsYMslQXhoyMYuCyedI^pXxhy]?WlsHubOnw`rlF`TVysIoG`cmOws`eIo]JhqthlK`uO?[Bqrm^_AgpAOiq>`Qah`W^:>hIx]LhoP?whqgUQwuYn`v^XX_EGo@XuIIumycM^kQFhNXppynqOqFhnEV]Cofy>v_tuawU;U]aUEEwowd\\wrdyC`sU_WufwIuyu_OiOyWiIcHUEYYWUKGqMbKgEpEs:ibU]y[ErMiuh_wOmE>gF\\ww_siL[XpUycKToqC=Cxbgr;?vesWtwFYUV_[FCau;?Sfar@_EoCxtAhgyXTHmvhWQmJrpXe`KkpxuYmppLDdWwmo;HkZayPpXWLO_UlLlTMTLVTpthNP=TZXWKpkhQoHiWOit<Uvq`Ky]WQqYn<m=aqcxtnpLieWFexB<RA\\QHeVhMokHKQHqsLS\\em_=qwyoYpXL<qmEsLAUieWq<KUMn>ApAum?xTdLSOprw\\PY@r>UxiIUOim_Ixptwp@QRhVY@PhDPMlmvDM_EPx\\yptX@ATdPXCLv=PqDQnGitkaM]yQjDqAxK;IWh]vgPuDItN@NeqKUfep?guqcKxaD@mAW\\iYgVXxXrnMyhMguStbsCMAdhYiiaWlCglESc;F=AgnEfRiFekemaRymgDuiK=ys?Th?rRyB?;fNYgCWwRQR`EiAyvh_wlsudCuL?vmSXEUdIEXZwErou]wCfAe]GwD]h;kFo_SB?xSermmwoeFqqUDYycOct_SZ?SJ]OUAwhupJaL]=VTTsryQ;qUd=rG`qUXp`EonQohxMDLldar@@OmmtxpPShY\\EqUuuIAscLVT=U:TYOis@PWEeooLUCIx=TXDdy@AuEDVCTjb@rd=lDhlUIJdaQrUJYpL`tqO@OHHMEQoDyW=QWrUS;ilwuvhhrULquhKbLjPMJIAky=j<tTt@rOArAlXf<U@eUAQxYyL_AlmxkaUrWyMIPpyXpGpJ=hVllnLUYuuJotRcqWauXylOpDpayRvqlWUj=<r:<RihqMIwOltcaJFqKLdX?XvRDMaYOGHVjDV_UymmvC]W<hrAER`iwfdUhaJ>xnpeKFAYvqlwhPRhWBinBEjmasl@rUEU_IxStO\\@jK\\W_HP`anIIk@tkHeUEEX]Nf=YdehyDynBgkxGdjv]NQs^_ywNkuAZmxlPHpkYsUviwglSonL>^j^_nX^rxZho_xy\\wFvMopIhdrPqvVfFVajidbNqM?ogqbm_lUOwoxdK>y\\ov`vijYpMyppvergjL`^nVkgVc^V_;pl:OZPgbK^\\i_r@Nb@O_aqdmhbX?eHyfZa<YCDYWOGxTmriET=wgx]HSsUlab:]eYEtTWiToGKGT\\KrGuhB]wGgfjuh@?sRGgBwbEExhcGgyDMSCHgvRwx>wsDOCMmEiUu]etpqfe_YKkVhWbVAHpcGEUFoUucMSmSY;Cx[EsJEuy\\myLMYite\\tApywhMYatE]s;ykCllpAthuX\\mrPppPXYuhYETRpevPauCMU\\UnXhtSTtpmTV]neAP=IsElKeyReDlW`q:LV:asx\\tAqTOMy`Mxp=uempHIv\\iYDdQEEY_mTBdT`HvIdpj]UPmxqLrkIS]xO?uRkuklDohykaIPATXeDTuMYEuPopughoupSb@SLHSB`nOxMNuXPet`QM^TrATleTqCpQTaJ^EjA<UPetu=OM`xf`K^\\WTLVAIJuQP@IpFmyTHM\\MMUYM_eytlKmlkIDtKiUEiXoDlm<PMloKHVjYs]hu`TrKMs=MVQpWl<m=aQehTWLYDiU]qWUPQqqPsqxHyrfLv]yr^UOhuPQtrmevCDLW<ruEUc]wyoriXqdqdHWwxygsInnacsOsy_ZkA\\JQwuvsE?vA`uloi;Vh@Xsm_f>_wrpR]R?itdkGq_fV;ugsTMCg=IB>awIsbRAUosEmyxbeFFcFBASReXFmVPuvKeUSgUtOGK[c@mvT_fBMBH;Bf=chCFiAIHKx`[E;[Uy[wNKRhsfdixEcRokHQiE?MFLsWZaXCEeZGHtgXt_WOyBmsrWEfgQXHEHSkWm=hSGfsyfVoeOqRKuNo]opXXpayOet=YOrAWiENeyMnpYMuoLXxeqQBiqoyk\\QkZmon=odeuQ=uYauwDmryLT`q=adOFrqWq_vrIg`ZYi_nZGGmBWf<`bN^dSG^;xrDPmBH]lGdJogvVtfWd;>xSnnlgdJ?]ZfZj>]ZojNwhc`eHPc_HbO@q^Akdg^C_bZPkMNb>^jJIjlV\\<_ZMH_^FjlF]pNbFnwkpew`oyAZ?`nvPnqy\\Ng_hhdYD<wDA?v<sbjcIwYx>YrGSuV_rgaxSEiuQw_]yGyW;SISiB[SF]KB^Sx?wdt_c?CDMCEJwSwwFtGYCWWd?IRmfC_DSiv;?USATWgGqqFIUXg?FHAU@CEg_bOGc^?EpIWcWyGad>uHmMEA?seYeWebu;GBseCySTsR?GxJUsUySruvRsYfQUpYewAylOGlKIrsYI=IPmHw]GKsytEgsqta;ePMdFWtVGSftdjXqq?aT`xnxbMfs<gqi@dFXfX?qBpZRnfAFqfG^Wovch`EppQOdcyfmw_lNn>FmBxlOnsHymvPqgp\\SQ\\GqnvVyEi_NHm]FayAZ@FpyVsynnf_wTQbJgpkp_RNqixhB_lanvgyfZpvAAwPOr?@pNXj<OeEovHYmGwutXwOneFiky`oWakh>jVVehy]?vhs?pihhKN\\TGduif?ih]Pgd_mhamopcfW[@^[QnhPOhaQvKxkVFpeIuiIoXfepwbIwZ[AxWoxw_`gwvaYegnhvwZiQe?n^^Ou^otSf]=wnWWqq`enFwZG`e^nbvuS^bS?abaZx^mRYiPVmkWb`VtNOmAqloWyg?sjpsE@ZANxCIhA`clXs?VqsPjYqlvVebipUPklfc_hh>`^Yf\\W`tpndh_kvop;yuKovn`x[Hm\\VgRHeEPkJolPyuD?_=YecwsFvtWgq`Nq]geF`c=o\\>Y_tfiBAfP`blvjDGtnggfHjK>^FwcKIeYIdeVwontHqc^OpppsGh_TXqIWlRGxhynMqxphge`lf^gEojh>qioxPnw``[n>pGFkTGiahnMHguh`DxtKYmGnpuYr=>aBpZR^]RWiNv`wq`gis@AhMin:p[POpZo^mY\\`Glk^cdAoYI]>Yer>wAfrap`qq_AnnXyhx>iLQuoq`hp]_QpBifqVlBGdYaxrqwkiZ`P`yNkahappyOGi>nbKGsVQaTafq^`FpnCnr_VmqHuUodPahPxta^gsOoupiW`qUQ\\e_l=>vkwi\\XuagcSx`YPxc_]xG]MQuhy^qdW]rDGSX;y;mGPqhn=EMOUfsV=IC\\gT@aXSgCPGX`]StwSO]igMW=?cJGtCIfViWi?wWehD;imme_gT`EbGmF`yfR]C\\MF\\eyScYuuv`kdmgsGKfZcS_IHdcutigOMrJQD:kX_SWlasdcgqwhc]fPoyF=egyx>kbm]E>Sr<GujkXcgup_uCMSN;unAcwQhZ]HSiCGqHwQUxgVQucF_EgydhkV^kRtYvS]HTyV>eeB[rlasFwcO]C\\[imOyHqsGoTKUUrieVOPcasclnohSotRFXKkmtnUN?pX]UtRiQN@oTMUqtRkUVmDLVLxLMWUIwh=N]pJNYkvPktpS@hs`xwRmtdhqSelfyw@LUUEYcanwmQhpY?iMY`SWHTltlcUTjxj>lQEeTThTXyY:LSc]MxEMuho?TYEak;Hk;@r]Uy\\YQgqppdtoylTus[Dv]QlxDsm`N_MP@ElYTryDOgynuXt[lmi`KEpOuLsfQO[hufHX:EPviLw<o^YUDdu\\mxMqUKYOdh`s^gNQaxOtGao_F]p`^JfrX?Z[fmpNvGHiUitAwfpppe`gxpts_v?IuA?oga_WIwJysQnr??gq^`qW_nhu`HpTWp_^pVQy[wbA@d;ixxwelgvq@uio`IivDWZP?ixivixnDhgCie_``IPsO`\\hW^dxdBQ\\GA[=XjuilWvqGSuEiemGJMt`yCqgGjcEFaTTIC<yVrGt@uUjWwmocJaD^aH>Wr<WvkGWpMD`qWLSvrIg:eW@MBgovjIsTaxeqxPOgCGs;?RssVEGt:EcCcEFOBMyh^]seOrHUTgewpEufGuaAc]OUGcUrWtsWH;MEkKfweFb;VHQGgovjGcqyFYigIsEGgWb;C=mwD_cpmXIshUaVX[ElOukygqWwwGcBqfLQe<qhxIWhKwogBC[fmidAuFgqgTEs<cC`svJQd\\[hSADEUikww\\sDuIhpcytOIqQbmgfVqtOycRyGiGgOehD;ipEWmmtJQSHSTmGWf]jhtu[iQUAQh<tTXp?QXpqoUikHpVdUVC@MDQyF\\nCYRj\\kPTNlDmqXmnlTvHoimxxmO:<V`LPyhRIYxk`mp@tUqTImLlySw<w^mLdmRMyM;EpFPupylQipP\\uc]TCYveHJGaUTetgdqkTO\\Tp]eRp]VllSP]RMmMwQQy=tiUoBEXduki`uudxWhmudO\\LM=EQilOeeR``XXAYYlvouKHTmTeNGIPhhWd<QZmtweupTYitPAUSduJSPXpiO@`vS`tFlN`dvditqTMBqW=TS<PPQdnHioPpxKpNeLn]YuuQRPmv<IlN\\rQEnKiVWhohNok_l>ynvV`[G\\AqjdouLIqK_cd>s>QfAQkhAsaOdlGmDPg\\>mAqnXy`@NynykP>nFvqlwthGgl`gdivNxsLP^KHsF^n=QkBfh@HlSgahgcBvbSx^VqpSGihip`Wo>xiFoiewnVoeFwf@a_?YoJYgOAqlfykvaO^lwx\\wqigh`HWtsYkINfnqxGWfhfakGi=Od?IsQHe`An<Gxw>g:PjNFmLQ_B>lranknwMogC>ZbAom^jp>acxp>FmCidK?_;FcVHnKheeO[NQhOWwPoZDOpc_\\LIbNn^>H[nF^:^j[NZ<?g:?lT@c?^vtfpXnb`Yb>`q]Wuuytj@ewxigoob`umFj]_uyOicytovlgYslx_YVtGyoWOthVxpGpay];nxxgv^qdaiytgymfmaVxGVbvp_wIproyVPi`Qpwiq<Nc?g^]QiCH[[@dLDC]V<[Vl=G^ED^Mhfmb:?DTcTKERL]tqOi;Mwk]SIwRlwew=DVGvJ_CmiGVWefac[]dgcdASiI=gKQfMIYXkuYCRZCwYcfYWCdcH@CgmaGTsgmoFtyVq[efubpGtYOYOiw@MVpggbawwmTE_duIvuCTUsFF=DsMW@QDoeTROHV]yWAHyiTIwGruXWiUsQBRGuX=yxmf;=FAObXkrHScaeFSWgFcwyLXDYtqiVjqtBPng\\vCUMWyODam[YU:]jP@RNEl[`nkHRPaSqmL=Yws<TBGf>xcZffuAtlyn[GoEQrKG`l?yLFZsQno@caIr<n_VNfPvcO_liau=og^ydZPc:o\\NIcf_dqYhdhoZalhI\\lar>WgkIfIa_k^dc_[l_b]xnhIr`gk[a`hyvF?pH@`Q@ivydbNgaxnFQjVOcln[Y?k;Gp^XpFhlEwoJpusW^gA`F@jV^udhm<odEghWGhKPZJN\\:n\\kY\\YHrn_uQY_tojRxv_irrqi^P]>?gGAc>glLx^GWiEorTqf<_[Yo\\A>pVPxZYnNagWhpgAv^qb\\OdJhZWHmNP]hirlH_Rppaf^IGdoah>IxbXlXi\\Wnp\\Qk_`ffaqFGueXdCVir>h;Wp[GtKn^_>sHHZwiqCYZb@aRopWaftai_No<Odlp_VWjLXtcaxsih@aaKndRWppH[>WgI^]Pp_\\Q\\Xywf^kCYt=Nnk^i:^gwOwwob>VeHou^>k<O]Rp\\?AuuGlTVvVNZBNtV^veXkFvhjxkeyoKwwDvkB_m^igt`bSH\\\\^elAauGlT_rKFkBnwRWm=V`npqCQ\\F?n`GcyFmmPeuV[Gfl=p_>A^CVugfsjXf\\p^fVeI^peF^HXcdFwUqa^Pe?WoLaZY_[@oaoAfYO_aWqKvrEQ]]iwE`yJipLArkhsFFyfnmO`d^yxSW^cFsoPc?otAQicN`OVbNqxv`_>^mRVZrY_:pqBW\\kWbpV_@@yM^bBqsG>fyAZhvi?ndmWxqWedweB^rUq_lA`tQnn>cZFaR>^?OxS_\\h?_eHh_olXa^`_f^N]S?hXfrHYwfYpa`tVfkmWth^ZFpif_lPXurn\\rF_@?a<pbHVp_OoXNlv^v\\WiQP_affwPbmO`gF]bIZjQtunabnpkppxphWigag]m>lWNscArkHr\\wtN_gmXhen[T`j_qoHWr<VqW?q?`hKgf^Ns<fsr>qkokRNnU?dGH^BIrj_uhW^>g`EQ\\H?m>yfcniSQoufkVxglXeKX^r>cAp[@om@avuPctvpoWZBhkl_lAGaMVyK@bP@wrynbVbGNe:F]u_iX_uQ>chqZr`rx?idy]\\VpvXk]fppXs;fxP>j_NyvPd]_wSn_jHku>mO_[dao>oxDgbUAuOnbkpkV`fR>^A>s`Wpba\\<w`OacoAc<obG?o:xbka]WvdVqwfVp[WcL^aCa`UplrN^UaeF@e`Qj>VbOpbCqsrhg^pc`niSgwY>pV_yUoo^Hfl^it@sMyZ;uWWUC[XT[FJaEZ;t=gvDyRUkgbQGU_wpCH]eY<;RCSY@[UNsxQEu`OrJ]feUeC=HjcuLSEaQBAcH[WB;CytgSpOdA_vEiIIYbWOb@SyfKglot\\?TN;v\\;Imyb=iXJ?udIgSGipaW>gF=_C=ebbqR<;efICMSuiauDWZ@HqLVrZVqY_h]ocXihB?meA`l?[=q]r?x;Go^`m<`kvGeffu>ynx^nHQeT^`A@rxnioAtRQfqomwN]xGuYVsbpf<HyTVhDOrZOfBv^Mwl=>ZVqtb^uMypUIiOWehPfK_lUvdvVhMOwTwvG^q>^n>^joa`HHa`Wj^?\\lGb@F^HIZ=ggIN_=VkINl?IwUYhv@ltPv_O^>GsanxCIbvhrW@pK?]\\I`SghDqhoG[GySwDPYBZQfVadfmyoWdv[CEQUE_BHyCx?GGSvP?rFMXDkeYSi?AdmwVaucF;S`Cd:kIxKFYcDe_sbIuN[Ef=Bq=TJ]GQsUJeXAUf_mHPuFbIFYmT_UXfchBODlKisQHesFe]F^aGNava_V=;uAeg=uBhEv^uRsAvcOTVUSI?d:uDuurWMI_oRrKg^sThCShES>uE^CGl]T>WET_DS_cZoCNCGlETKaVMaVSeRADOl<l?Al^HSlLoFXWBqwgYxh`MrYLAPXoem<uw\\HkIUkjtwe@SitSFIyCYRp\\Y:qUMevAynUQRx<n]muQAMcUUiItr<Ky\\WvQTpuOYQNa`xrirh@oxmS_`k^<s_uVpIRJPRM@N>\\tRhNJdULDN;qJ?mNWmKcIJ?eL@@VbUJOlN:Qke\\NQHh@IZpO[lHg`^jC>[<GZBNb>^J=VBcCBKTMKb>EVgGDpoRscvZeRnKBIECwOx\\ECQaW\\EUEUwsYEUUuAcvruXkSuy;BpgSXWuRsyfoyA?GjwDqIEUwDIAWPqEnCDZ[Fl?Y[mFniiQeeAmtxQwjmXjOuEwRNatMcTMEh^ODLmDO[d`[BCGS[?dJKEKEd<KTKET_uEqsIdmRtaSBSfRyCNMhPKTkaIO;EuASIWgq_DaSRsiIfuyTYGLqhloWjyVqmvuqdAkT:[fBGRLMEMMS<qTiaB]SRRkDTygFwtKoX\\?tOYIA;dkkW=]cY_HsUwmWcEUi\\cs;geOOhSeiF=UJCfBEUHAB@]VxeERwe<UgZcDusGdCT`[VR_rIKc_QeW]d>UxBkdSQTD]VOAwSeDVSVCMCl]wj;rHcxSuUGWe]=Ie_S^YF[AD^IUoaVEAFOYT;aBKYB;kRokVAggsiU<Gt>agOwDBCYFstWqSZmgeqSQkW^QV\\WdVWFa_w:oXgiuxMTqiT_mT>MFBQx;gUQgupkto]b[MSSasSOWuGYfmB<KfKWCX[VxMsuEb:yhGuXVaF:cEjKh?WiPwIPiUSmrOMbs?WfUigacpkdDCfqwE>qbA_i_;ILSU]?DCOhKmCV?uFqd:KGkgeC=S@SbFgdlCUQeUV[ch]XFCuRCG\\IhOGWxqeNWFtqThufc_B>ufJ_rsIxEoEpeVFgF;;SN]B^[tcwfGihQgXmeWN_GKCHKKtjKDxefouhOOD\\GtCoYVgVd[UkgVp?Gf]e<wDQmuDEeFYefAuWsTr_Ro=X\\ms?CIhOxPUEiCGJ[g^MD>]xmiWCqGbeR<]T<sB_Ms`qgvEGKAUI]d:?DRGhH]guMrkKG<iDQ=U@mrLisAKUusi?]feIcj_dv;CH;sl_gxMCgwHKCXcsFKSRZuC[uuNsXQcDmYsfsDMADXAUd=XrGVKMe`=eIKBGAhB[rR]ThevhAwhcFC=C@KI[ysFwEwcUycTNaCDMHliF[Ie\\oX]]c]=TFKBvgdl=UuAiDguF=V\\_C_cCFGiJUiKGyHOetSgKGdVwCI[S:QUXAeC]TG;DrEfFWbukvqUCmAGSMtIGu_cXpsbFgieebMAhO`WZaSiiJ]lMVxJrhOM]RI`J]]T:AVPPTYhs;dJZamOMTWDPK`mMTSOhl:iW\\XsONf\\>]c>ZU@^_Yf:FcH>]<xZ_fkmp\\SOqX@v>irIqja^xAAZqHmLi\\B`vJFfRqhNIecf`IP^HGjA^rlIacvg_ovQgcoOrYoim@sZWhgireOsR`c\\I`FgdJNoMW^sG_dAn<g^eq^@_eMVaTphqYm>of_O``QZrVZ>QwCagRVZ;qbNObR?l[`cbncpvtvg_FXnE^_mQ^nGqGIxCfevw_?`d<Y`bGubPsK_gRVvYPgXQx\\_sCi[vxZ?^g`p`eyhBftt>gFhv^orAH`kVZqx]\\`weNi]pv<^clG`Ia]jQvnhkJ^i@W_`@jFAnmQvu>idg\\Eh`Eax@IdyNwgVxTWaw^ppVnNwb\\qosG\\GacA?jPOsZgdoWaRGeOGhlpfK?luI]Y`q]qu^hbo_wcgkiq\\P`ZAVfIhZk`v:_mk`dqYysfuZPZ?FhtFmrxx[Pcm^utYqdh\\@qeOw^M?skFlhieporLguS?iC@kl>h_^u<VtaxgR>Z;ahJ>kw>oMo\\agg>_vTwr^fm<v[ChwCalqxnFijoNraF[ew^:@rvqdnHw>Hp[F`NOh<GmuVtcNcBPr_VwsG]jOdqHhGw\\U`xFqsF?xKFrsQwCYgTNvr?_H?mBAyJPfDQuiikjQpm^ka>flx^E_mU>`u^lioqqnrTXw>PuM^tFWj[wwUOnBX`:>kKAZj?]\\XddFqUvhmXqCG\\tVeQ?fKoo@whXwfCFiP?vA_]SptIylRnmNax>fp`h^pfgZibkW\\Sx^F`;YyY?wtcXS[T?OhPCvd_bnAs:;sQCIgsI\\qSv_T_]d_=U;aBoCrSORrMR>EGsKtjmgOIWVWDomYWMb^WT>[cIybUQDP]T>=h;Kf>SIbQxf]eMoXtwtn_c_osBibVyxdEcMwsSGwisTL_gvUiAyBhYSJOsBScj?Ed;FmUoRXUKHNn`lBTLcLSalKFlrbmUd]POATCtnRELv<JEXWE]Jm@NQmmBakbexBdTm<K<mvkXKutVhDrLqJhUmD]vb`kGUPA\\SF@XC`q_mLEXxCIk?MLu<YX<Kj`YchTlTMkULcLSKmOl`kSioW\\onmT;huvApFMS<ao_@KlDmGALDAKlTL=o\\G_lS`[ZpjcOpMH^KHdGa[^pj;_\\lVlbns<?qSXs:VZOhd=xtqx[b>tr>i_`xRWkhPv]AqlpdEIaQfepVaMWqth`josWWsUakeWkCY`phcxijoPxcXx_wxSwksAigFac>Z\\>]ZOZEwrN`uUitKFdB_n`Hslfk\\njLWbb>^RInC?lBAolhc<Xm[>l:_ZlVl[bMQCd[d\\kVOafJ[RZ=KJ\\>Hk^<J<EWZ@L><nJFbENgG@tovsR>skneafhqplTIuO__Aarmoe_ifoimAHoi`s:pYwsBiFroWwEyNadrsth]ChkwvSbAmvhcygMvAcGxEUqqy_]gQEr_QGtqwmwsaWsQsEFYIAyS;wGqyufuRPyeO?WL=WXwhZ?DT;D^oV>MB=oF>GcJKEJmF=oNLTL<aJMDO[\\JSak^Ll><SGQk>LSpTRN]SlAXRIO[dr[exrDUGaTOIKFaQ^IKNaUZAYeTmsiTk@l`DSWTTmIlFtKsATeIqKaylyY:LWQiowMQqHLMATS@PE@SHURA<qZaPEURmAWWtp=]K[=pwYSQHsKdMklY;it:LqxqNeMv]PO`<jQ<SedqYhyK\\UNhtSeuDdVR@sraN^qK^eU=dV`EP`lox@W`ulc\\ge^i`Q]lqid>tGNjen^rysagppPdNXkkFjKPheapqNqv?mqnkMAjxI\\SPydVaWArYyuTF^Gh`CqvAovJ@vunqegnlnouGr[gj\\hf]h=ocRIRggTQoSQ_HaSG]MVEEU`yI:]sOiGWqRb?gFcVViUZ?efgs`=FQSi]oh;ktlqb=[fxQvfosiGts]UHyI:gT>CF:CS^?cY;ECSGHWusuSceS\\KT`me`At_Cs?utT?wjKEiWTSYhpEUrWEMaWm_ftqU^;uy;bTkrOqhmydZ]htqrmEDNEFXuHI=sAyI:ACpaBvyv_ORUqs\\WCbKD\\MfL;Ck]gweRAEy[EEMQEoUd[AEJECssxVEx_Wt^aGG=hmsUxwVTYUTeRNQCE]iL_GGWxQau>avcOgxos<YCaUE_KV?miV]H@SVQaWCQTcoTUGgCkd_QBcCWCeW`wY<sU_UR]gXoCDIOwrSSF_S`YFnKGGiu`AEh;R<ODEyTjAs?YYSOTu]h]Oih?SWKtKoYakyGiWG?UdyHhCV[AvlYc[MVYqDtQguAg@ScdCT:qSGMBfIeUOC\\Wi[WyXMVtcVr[DB=T`_GkqYoOxBMYD_cgCdk;r^MCA]tgmhkMV@AD<KTA=DvmtKiU=ghpebpUC^ueN[hB_xR;fEuEdkUyWwKauHiw@MuAKbfmGlIHq?TsaxsUuhMVpmc>_IaSTL;HK_B:EU=UY_?HOWdBYxFIDZ=EZ]uwguwQSGWhtGiUwF\\cX:cFsAcryc?CDWkhQGUSst\\kfL]twebb]gXSSSucOKXFmvFiy_itGqReUhV?S?GXN;IMKhIUiDYcbMy<iBdGtpicR]B_CHWITu]V:shvothtVrTJZMjGUk^QpqPXxXYIQOudnR@KAAkPhSLEkRAnQIPMaT_UNcHQDQtIEmQUNneVsxtsYN;eVYaVpPvw\\qADMsTJ]TO^<xIDXdTTLdQ@MrylnApvbtq`qxdPwm]NvaN:HQL<yhHxJ<ljEpqLjuHKMewAMY<XT:qyq`rvEugeTK<m:`nJHKtPJIIOv]w^hU?TRoIStLM]Do?Ay:EpJqk@=QRiWBLjLYYIdpf=PHLX?]vhenwpMXQQ^`sv@S@moV=LrUO]HYwAugyRVEVehNR=qumtfuP=xY:DqPDPn`TtAjvyvY<thTUm`uiLP`qpC\\sBMSMEl`]vR@xZUohdmPDUU]rFYSP@MOTwsqpO<vBLSKyWKmnxixQXTqmrOHwTmT_ALFiwPLL=uYBTo<imW=jHiSFUVWExHLv>eY<Xo@PwsETtLnEaSCDKqmj\\YqgqpMijT`S_AoCeXCHs<qSUIkiuXATxj@R[AklyK\\UxdtuOiuTXVcEoyhtR`rxAkmyw^ym>`yrdWahOgmnT\\n=lLk\\OBuJFPrPtWkiospnBHSgQxrIqMYUjmTpTMyPOWDpkUj@dskqUPIOFh_GNm>a[r@spwx\\fnVgg[xxPVum^e;Fl>^kxO[Wn]pGuMVaCo>QhAYRjWseWEhiTgYfyAddyulyBkWgjiUU?Y;edK=tfaCBygW_F\\UIoYi_yXUmsoCFvSvMSu\\OSNuV_SUwOhKGThCDiQf^MbRIWigSQaW^cW:Kcl_cBkc[_rACdUIG@SuLwQ>xY:DY>tKuqv`EsGpQVAM:`jgLP]\\MyAotEogmXmelDEPsTj\\lvT]qXeXUUxWwuQHlb?[TVrZA`IqugprcQiSitVNmlfa>xvnIbIQhaWpTYlcN\\>Wv]HdmGkCY]SqgaO]vhkKGkL^l_y]<Xos@qoi_:iky_wPAhyNoVWyAhZ]hyvpb<?u[?`RQqr_a]Hp\\@sMFaHYdlvgrhoPFeopwI^olHnFHbI`qFpd\\PkEH^CO[d^_@hcB^jBafJQjfVm`^jC>lCInJhbF^n@@bSp^L;\\jC@lCMPNHkJbDaBEwTioWn=BKae__cuuyt?upACOSrsCfRsreibhwwPqVSSuf]vwEroQw@qfwaEuOhbuGqirdKqQxne`sRHXIqm[Er]]xxyMdaWQIPw=qaMUsmyeltgpx_ey]Ey]UoYdW^LT_anQhMbmN=q^MF>?dZSc[_DS_cDSc[_TL[fCMD_mfG;DZaTLeCN=C<;L>:::@n@iUnuupTrt<m=DkALMUqUOpxTER^]sj]ss\\ruqLLqlqQM``pE@P>Dn[AP>Dn:NB:Z>NmJFj[^`Z:abJOrHUHciw>=vYSr<aoqQNd]gJY^`VSguO[vZqSlwglEW<KT<MtjKFr=BrcfWiyJQH[KD>;FlSbL_hJgWDOx?qBKeGX;RUActqGQGCReH^ECmIVQ[FbMHwqi_]c;]byotk?ye?dcYRxIV?=E<KCUgiIAdtCh^MTIQigGyhEc?KWZShLoSamdJSBhaXh=Xs[R:yBUqbEMRpWds_Do[YIGGiwuTUd<ohNEFNsHJKT`AbB[Ev;iIOSiqyPiISQBccc:oiRkrIOuo?TPOd_UU\\CWo?BkGfWcewqVRSDG_iO[fbQgqUsAUYTyI:[CyeB@SUuufiuEcODRcsJkuK]wT=sPmrXOvWiCkcHSAs:=Fn]sBoHeUeg[dcoSPsdJAfIuX^uVn[wrkR]]s\\WsHUV_qx^GWpYBEiRn[rjqXmQUBqdL]eb=FOkdEGFBMWBEdCcd;WxK[eU]vW;EFKX;;G[crWctp?S=oEQCUSirBmwOqsHEYDYHNaBaCTGMElUCSQSTSTbaXsudIUDSKRrkFYiVVQRm?FKUF:gS^aiD_I?eDH?xukcm_Dv[g:As[YYQiCF_WNOElsRwItNQG<=D_KCqEid;SRgYjwgdCIdGs;Wd>=SauVP?d<qTEkvp;tKgKIuxOYp<UPW\\Q]AOdutJTjlPQqLn:Em?ujBHRWTnHUwM]qVHxluyt]t<qpNTNBlW[lJkEOslqblY?ptXpsgisKhMl]jAiWFTR>eOninNdSUDkDUxoiJC=Vjlv=PjJMTlLt<QK_ew^Yj_hmr`Vm`OSYur\\lvmtJljk\\J=xj`mpJTjxLsgUjT`XLTJ=@N^mon`wh=ODITJXPSHYDETqQUBqtLEm<iKEEwL\\kAAxPuuOQuMMQr@R>qXcyOmeVwEK_YPpTQI@NSPLliNCIqL\\pJejN@LT<<K:CB[[pJ:::\\ltqkPiSNeRj=NAEQyhLRLqG\\MFyd?@qHQfd>]VP^`gvEyg>ohji\\:A`ENnb?ef?lT@\\^n>MR<=g:?DT;D^oF>DMn<nCENB\\J[<K>:::::::::::::::::::::::::::::::rYyYp6:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlITQjRiotJSlDSElMRFJFTkc2Ig==