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<Text-field style="Text" layout="Normal"><Font bold="true">Tab 4.1  </Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">    Limites b\303\241sicos para     fun\303\247\303\265es seno e  cosseno</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8">Restri\303\247\303\243o</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYmUScmIzk1MjtGJy8lJ2l0YWxpY0dGPS8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGOC1GNTYtUScmcmFycjtGJ0Y4RjtGPkZARkJGRC9GR0Y9RklGSy9GT0ZNLUYsNiZRImNGJy9GV0ZIRlgvRjlRJ2l0YWxpY0YnRjgvJSxhY2NlbnR1bmRlckdGPUYrLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmdvLyUqbGluZWJyZWFrR1ElYXV0b0YnRistRiM2Jy1GLDYmUSRjb3RGJ0ZWRlhGOC1GNTYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y4RjtGPkZARkJGREZobkZJRktGaW4tRiM2Ji1GNTYtUSIoRidGOC9GPEZIRj4vRkFGSEZCRkRGaG5GSUZLRmluLUYjNiRGU0Y4LUY1Ni1RIilGJ0Y4Rl1xRj5GXnFGQkZERmhuRklGSy9GT1EsMC4xMTExMTExZW1GJ0Y4RitGOEYrRjgtRjU2LVEiPUYnRjhGO0Y+RkBGQkZERmhuRkkvRkxRLDAuMjc3Nzc3OGVtRicvRk9GanEtRiM2J0ZicEZlcC1GIzYmRmpwLUYjNiRGam5GOEZhcUY4RitGOEYrRjg=">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" opaque="true" background="[0,255,255]" layout="Normal"><Font opaque="false" background="[0,0,0]" encoding="UTF-8">fornecendo os gr\303\241ficos destas seis fun\303\247\303\265es</Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/F/function -.mw" hyperlink="true" encoding="UTF-8"><Font style="Text">,</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> pode ser \303\272til para relembrar os dom\303\255nios destas fun\303\247\303\265es.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Anima\303\247\303\243o suporte da prova de que:</Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font style="Heading 2"> </Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="true" background="[255,255,255]" encoding="UTF-8">Observe que, para \303\242ngulos pequenos, as tr\303\252s \303\241reas parecem ser iguais. F\303\263rmulas para as tr\303\252s \303\241reas podem ser encontradas da geometria b\303\241sica, e s\303\243o, respectivamente:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8"> \303\241rea(setor COB ) = </Font><Equation executable="false" style="2D Math" input-equation="" 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 <Equation executable="false" style="2D Math" input-equation="" 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 = <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUklbXN1cEdGJDYlLUYsNiVRJGNvc0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtbkdGJDYkUSIyRidGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlgtRiw2JVEnJiM5NTI7RidGN0Y6RjpGK0Y6">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUklbXN1cEdGJDYlLUYsNiVRJGNvc0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtbkdGJDYkUSIyRidGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlgtRiw2JVEnJiM5NTI7RidGN0Y6RjpGK0Y6</Equation> 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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">\303\241rea(tri\303\242ngulo POB ) = </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JC1GNTYkUSIyRidGOEY4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZELyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjgtRiM2JC1GNTYkUSIyRidGOEY4LyUubGluZXRoaWNrbmVzc0dGNy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZELyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGOA==</Equation>  <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  </Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="false"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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encoding="UTF-8">, ent\303\243o \303\251 permitido multiplicar estas </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/I/inequality.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">inequa\303\247\303\265es</Font></Hyperlink> pela quantidade diferente de zero <Equation executable="false" style="2D Math" input-equation="" 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 e obter<Equation executable="false" style="2D Math" input-equation="" 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executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">Para qualquer  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  em (<Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> ,<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y6LUYjNiQtSSNtbkdGJDYkUSIyRidGOkY6LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZILyUpYmV2ZWxsZWRHRjlGK0Y6">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y6LUYjNiQtSSNtbkdGJDYkUSIyRidGOkY6LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZILyUpYmV2ZWxsZWRHRjlGK0Y6</Equation> ) (excluindo <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk1MjtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiPUYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZOLUkjbW5HRiQ2JFEiMEYnRjdGN0YrRjc=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk1MjtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiPUYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZOLUkjbW5HRiQ2JFEiMEYnRjdGN0YrRjc=</Equation> ), <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  &gt; 0 e assim <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> . Isto significa que:</Text-field>
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<Text-field style="Text" layout="Normal" leftmargin="87"> = <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="false"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" leftmargin="87"> = <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row></Table>
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<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="2"><Font style="Text">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 </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
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<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="3"><Font style="Text">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 &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="4"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a1 := Generate(integer(range=-9..9)):
while (a1 = 0) do a1 := Generate(integer(range=-9..9)) end do:
b1 := Generate(integer(range=-9..9)):
while (b1 = 0) do b1 := Generate(integer(range=-9..9)) end do:
fn1 := Limit(sin(a1*theta)/(b1*theta), theta=0);
ans11 := value(fn1);
if member(ans11,{`infinity`,-`infinity`,`undefined`}) then
   ans1 := 'dne';
else
   ans1 := ans11;
end if;</Text-field>
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</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 4.1</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="5"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
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<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn1`</Font></Text-field>
<Text-field style="Text" layout="Normal">
<Font encoding="UTF-8">Se o limite \303\251 indefinido(ou infinito), entre com a sua resposta como </Font><Font italic="true">dne</Font>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
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</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="6"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L127">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="7"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline>ans1;</Text-field>
</Input>
</Group>
<Group labelreference="L162" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="8"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L124">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if ((`$RESPONSE` = infinity or `$RESPONSE` = -infinity or `$RESPONSE` = undefined) and evalb(`$RESPONSE` = <Font style="Maple Input" foreground="[0,128,128]">`$ans11`</Font>) = true) then
   rrr := 'dne':
else
   rrr := `$RESPONSE`:
end if:
evalb(`$ANSWER` = rrr);
</Text-field>
</Input>
</Group>
<Group labelreference="L161" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="9"><Font style="Text">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.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="10"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L22" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Be sure to look for singularities caused by attempts to divide by zero.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">A plot of the function near the limit point can help.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="11"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="12"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button0" caption="Nota #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Be&amp;MediumSpace;sure&amp;MediumSpace;to&amp;MediumSpace;look&amp;MediumSpace;for&amp;MediumSpace;singularities&amp;MediumSpace;caused&amp;MediumSpace;by&amp;MediumSpace;attempts&amp;MediumSpace;to&amp;MediumSpace;divide&amp;MediumSpace;by&amp;MediumSpace;zero.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button1" caption="Nota #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;A&amp;MediumSpace;plot&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;function&amp;MediumSpace;near&amp;MediumSpace;the&amp;MediumSpace;limit&amp;MediumSpace;point&amp;MediumSpace;can&amp;MediumSpace;help.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button2" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="13"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L126" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="14"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="15"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button3" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea0`, `value`);   ANSWER :=  ans1; if ((eval(parse(StudentResponse)) = infinity or eval(parse(StudentResponse)) = -infinity or eval(parse(StudentResponse)) = undefined) and evalb(eval(parse(StudentResponse)) = ans11) = true) then   rrr := 'dne':else   rrr := eval(parse(StudentResponse)):end if: if evalb(ANSWER = rrr) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L143">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="16"><Font style="Text">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 </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="17"><Font style="Text">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 &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="18"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L139" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a2 := Generate(integer(range=-4..4)):
while (a2 = 0) do 
   a2 := Generate(integer(range=-4..4)):
end do:
t2 := Generate(choose([1,2,3])):
ff1 := (sin(x^a2),cos(x^a2),tan(x^a2))[t2];
fn2 := Limit(ff1,x=0);
ans21 := value(fn2);
if member(ans21,{-1..1,`infinity`,-`infinity`,`undefined`}) then
   ans2 := 'dne';
else
   ans2 := ans21;
end if;<Font style="Maple Input Placeholder" placeholder="true">
</Font></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkZmYxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYoLUYsNiVRJGNvc0YnL0YwRj1GOS1GNjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GWS1JKG1mZW5jZWRHRiQ2JC1GIzYmLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0Y5LUYjNiYtSSVtc3VwR0YkNiUtRiw2JVEieEYnRi9GMi1GXm82JFEiM0YnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjkvJS5saW5ldGhpY2tuZXNzR0Zgby8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZocC8lKWJldmVsbGVkR0Y9Rl9wRmJwRjlGOUZfcEZicEY5Rl9wRmJwRjk=">LUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMqJEkieEdGJyEiJA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJGNvc0dGJDYjKiRJInhHRichIiQvRi0iIiE=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">OyEiIiIiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEkZG5lRidGL0YyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9Rjk=">SSRkbmVHNiI=</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L144" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o</Font> 4.2</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="19"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L142">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn2`</Font></Text-field>
<Text-field style="Text" layout="Normal">
<Font encoding="UTF-8">Se o limite \303\251 indefinido(ou infinito), entre com a sua resposta como </Font><Font italic="true">dne</Font>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea1" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label1" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="20"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L141">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="21"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline>ans2;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="22"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L138">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if ((`$RESPONSE` = infinity or `$RESPONSE` = -infinity or `$RESPONSE` = undefined or `$RESPONSE`=-1..1) and evalb(`$RESPONSE` = <Font style="Maple Input" foreground="[0,128,128]">`$ans21`</Font>) = true) then
   rrr2 := 'dne':
else
   rrr2 := `$RESPONSE`:
end if:
evalb(`$ANSWER` = rrr2);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="23"><Font style="Text">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.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="24"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L29" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Be sure to look for singularities caused by attempts to divide by zero.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">A plot of the function near the limit point can help.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="25"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="26"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button4" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Be&amp;MediumSpace;sure&amp;MediumSpace;to&amp;MediumSpace;look&amp;MediumSpace;for&amp;MediumSpace;singularities&amp;MediumSpace;caused&amp;MediumSpace;by&amp;MediumSpace;attempts&amp;MediumSpace;to&amp;MediumSpace;divide&amp;MediumSpace;by&amp;MediumSpace;zero.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button5" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;A&amp;MediumSpace;plot&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;function&amp;MediumSpace;near&amp;MediumSpace;the&amp;MediumSpace;limit&amp;MediumSpace;point&amp;MediumSpace;can&amp;MediumSpace;help.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button6" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="27"><Font style="Text">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 <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L140" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="28"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="29"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button7" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea1`, `value`);   ANSWER :=  ans2; if ((eval(parse(StudentResponse)) = infinity or eval(parse(StudentResponse)) = -infinity or eval(parse(StudentResponse)) = undefined or eval(parse(StudentResponse))=-1..1) and evalb(eval(parse(StudentResponse)) = ans21) = true) then   rrr2 := 'dne':else   rrr2 := eval(parse(StudentResponse)):end if: if evalb(ANSWER = rrr2) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mi&gt;dne&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mi&gt;dne&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L157">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="30"><Font style="Text">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 </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="31"><Font style="Text">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 &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="32"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L153" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a3 := Generate(choose([-1,0,1])):
b3 := Generate(integer(range=1..9)):
c3 := Generate(integer(range=1..9)):
f3 := sin(b3*x):
g3 := tan(c3*x):
h3 := `if`(a3=0,f3/(c3*x),f3/g3^a3):
fn3 := Limit(h3,x=0);
ans31 := value(fn3);
if member(ans31,{`infinity`,-`infinity`,`undefined`}) then
   ans3 := 'dne';
else
   ans3 := ans31;
end if;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwkKiYtSSRzaW5HRiQ2IywkSSJ4R0YnIiIqIiIiRi8hIiIjRjEiIiYvRi8iIiE=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">IyIiKiIiJg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">IyIiKiIiJg==</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L158" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 4.3</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="33"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L156">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn3`</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Se o limite \303\251 indefinido(ou infinito), entre com a sua resposta como </Font><Font italic="true">dne</Font>.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea2" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label2" caption="Entre sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="34"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L155">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="35"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline>ans3;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="36"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L152">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if ((`$RESPONSE` = infinity or `$RESPONSE` = -infinity or `$RESPONSE` = undefined) and evalb(`$RESPONSE` = <Font style="Maple Input" foreground="[0,128,128]">`$ans31`</Font>) = true) then
   rrr3 := 'dne':
else
   rrr3 := `$RESPONSE`:
end if:
evalb(`$ANSWER` = rrr3);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="37"><Font style="Text">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.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="38"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L36" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="39"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="40"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 1.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="41"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="42"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="43"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="44"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button8" caption="Hint #1" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button9" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button10" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="45"><Font style="Text">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 <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L154" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="46"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="47"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button11" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea2`, `value`);   ANSWER :=  ans3; if ((eval(parse(StudentResponse)) = infinity or eval(parse(StudentResponse)) = -infinity or eval(parse(StudentResponse)) = undefined) and evalb(eval(parse(StudentResponse)) = ans31) = true) then   rrr3 := 'dne':else   rrr3 := eval(parse(StudentResponse)):end if: if evalb(ANSWER = rrr3) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;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'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Resumo </Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L65" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Limites envolvendo as fun\303\247\303\265es trigonom\303\251tricas fundamentais seno e cosseno</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/C/cosine.mw" hyperlink="true" encoding="UTF-8"></Hyperlink><Font encoding="UTF-8">s\303\243o f\303\241ceis de ser avaliadas se a divis\303\243o por zero for evitada e n\303\243o exista oscila\303\247\303\243o infinita no ponto de limite. (No Cap\303\255tulo 7 em </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">continuidade</Font></Hyperlink><Font encoding="UTF-8"> vamos aprender que as fun\303\247\303\265es seno e cosseno s\303\243o cont\303\255nuas para todos os </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/real.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">n\303\272meros reais</Font></Hyperlink><Font encoding="UTF-8">.) Quando alguma divis\303\243o por zero \303\251 encontrada, simplifica\303\247\303\265es atrav\303\251s de</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/F/factor -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">fatora\303\247\303\265es</Font></Hyperlink><Font encoding="UTF-8"> podem ser tentadas. Em muitos casos, entretanto, isto n\303\243o ser\303\241 suficiente para avaliar um limite. Nestas situa\303\247\303\265es, deve-se lembrar dos dois limites especiais:</Font></Text-field>
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