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<Text-field style="Maple Input" 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 style="Text">O </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/V/volume.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">volume</Font></Hyperlink><Font style="Text" encoding="UTF-8"> de um bal\303\243o est\303\241 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/I/increasing.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">aumentando</Font></Hyperlink><Font style="Text" encoding="UTF-8"> a uma raz\303\243o de 400 polegadas c\303\272bicas por minuto. Encontre a </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rateofchange.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">taxa de aumento</Font></Hyperlink><Font style="Text"> do </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/radius.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">raio</Font></Hyperlink><Font style="Text" encoding="UTF-8"> no momento quando o raio \303\251 </Font><Font style="Text">8 polegadas.</Font></Text-field>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">Solu\303\247\303\243o 1</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
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<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">Denotamos  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> como o volume e o raio do bal\303\243o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/S/sphere.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">esf\303\251rico</Font></Hyperlink> , respectivamente, e  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> o tempo (<Hyperlink linktarget="Wks:../Dicion\303\241rio/I/independentvariable.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">vari\303\241vel independente</Font></Hyperlink> neste problema). O problema nos diz que  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZFZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZFZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=</Equation><Font encoding="UTF-8">  = 400 polegadas c\303\272bicas/min e </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8"> polegadas. O objetivo \303\251 determinar </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=</Equation>  no momento quando <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=</Equation> polegadas e <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRI2RWRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y9USdub3JtYWxGJy1GIzYkLUYsNiVRI2R0RidGOUY8Rj8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRksvJSliZXZlbGxlZEdRJmZhbHNlRictSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0ZQLyUqc2VwYXJhdG9yR0ZQLyUpc3RyZXRjaHlHRlAvJSpzeW1tZXRyaWNHRlAvJShsYXJnZW9wR0ZQLyUubW92YWJsZWxpbWl0c0dGUC8lJ2FjY2VudEdGUC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRl9vLUkjbW5HRiQ2JFEkNDAwRidGP0Y/RitGPw==</Equation> polegadas/min.</Text-field>
<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"></Text-field>
<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">A rela\303\247\303\243o entre   </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> est\303\241  relacionada (condicionada) no problema. Contudo, como o bal\303\243o \303\251 uma esfera, n\303\263s sabemos que a rela\303\247\303\243o entre o raio e o volume \303\251 dado por:</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</Equation></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Solu\303\247\303\243o 2 - Maplet </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rateofchange.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2">RelatedRates</Font></Hyperlink></Text-field></Title>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Figura 15.1</Font><Font encoding="UTF-8">   Solu\303\247\303\243o do Exemplo 15.1 pelo Calculador Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita</Font></Text-field></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"></Text-field>
<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">Para obter esta solu\303\247\303\243o, siga os passos abaixo.</Font></Text-field>
<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"></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">Passo <Font executable="true">0</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></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">Inicie o maplet <Hyperlink linktarget="Maplet:../Maplets/RelatedRates.maplet" hyperlink="true"><Font style="Hyperlink">RelatedRates</Font></Hyperlink>.</Text-field>
<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"></Text-field>
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<Text-field style="Heading 3" layout="Heading 3">Passo 1</Text-field></Title>
<Text-field style="Maple Input" 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"></Text-field>
<Text-field style="Maple Input" 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 style="Text" encoding="UTF-8"> Entre com todas as informa\303\247\303\265es da seguinte forma:</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Entre com a f\303\263rmula do volume de uma esfera, V=4/3*Pi*r^3, em Equa\303\247\303\243o ou campo de Rela\303\247\303\243o.</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">No campo Vari\303\241vel(is) Dependente(s), entre com Ve r dentro dos colchetes</Font>: [ V, r ]</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Tempo \303\251 a vari\303\241vel independente; no campo da Vari\303\241vel Independente</Font>, entre com  t.</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">N\303\243o existem </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/constant.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">constantes</Font></Hyperlink><Font encoding="UTF-8"> (par\303\242metros que n\303\243o mudam durante todo o problema); N\303\243o mude o campo das Constantes</Font><Hyperlink linktarget="Dictionary:Definition,constant" hyperlink="true"></Hyperlink>: [ ] </Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">A informa\303\247\303\243o de que o raio \303\251  8 polegadas \303\251 especificado pela mudan\303\247a do campo Valores das </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/V/variable.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">Vari\303\241veis</Font></Hyperlink> para [ r = 8 ] </Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">A \303\272nica taxa de varia\303\247\303\243o dada \303\251</Font> <Equation executable="false" style="2D Math_1" input-equation="" display="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">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</Equation>  in<Equation executable="false" style="2D Math_2" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlRistSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjhGK0Y4">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlRistSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjhGK0Y4</Equation><Font encoding="UTF-8"> /min; no campo de Valores da Taxa de Varia\303\247\303\243o</Font><Hyperlink linktarget="Dictionary:Definition,value" hyperlink="true"></Hyperlink><Hyperlink linktarget="Dictionary:Definition,rateofchange" hyperlink="true"></Hyperlink>, entre com D(V) = 400. Observe<Font encoding="UTF-8"> a  nota\303\247\303\243o usada para indicar a taxa de varia\303\247\303\243o. Esta \303\251 uma nota\303\247\303\243o especial que \303\251 entendida somente no maplet </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rateofchange.mw" hyperlink="true" encoding="UTF-8"><Font style="Text">RelatedRates</Font></Hyperlink>.</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">A taxa de varia\303\247\303\243o do raio \303\251 a quantidade que procuramos determinar</Font>; a quantidade para o determinado campo deve conter D(r) 
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<Text-field style="Heading 3" layout="Heading 3">Passo 2</Text-field></Title>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Para preparar para diferenciar a f\303\263rmula de volume, ative o campo <Font bold="true">Equa\303\247\303\243o </Font></Font>ou<Font bold="true"> <Font encoding="UTF-8">Rela\303\247\303\243o</Font></Font>. O campo ativo deve ser agora <Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation> :  </Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">L0kiVkc2IiwkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGKilJInJHRiRGKUYqRio=</Equation></Text-field>
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<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">Nota:  A &quot; Equa\303\247\303\243o Ativa&quot; </Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
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<Input>
<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]" encoding="UTF-8">O  maplet realiza opera\303\247\303\265es em <Font bold="true">Equa\303\247\303\243o/Rela\303\247\303\243o Ativa</Font>. Para fazer &quot;ativos&quot; os conte\303\272dos de um campo, posicione o  cursor sobre o campo e clique o bot\303\243o direito do  mouse, selecione a segunda entrada: </Font><Font bold="true" opaque="false" background="[0,0,0]">Tornar Ativo</Font><Font opaque="false" background="[0,0,0]">.</Font></Text-field>
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<Text-field style="Heading 3" layout="Heading 3">Passo 3</Text-field></Title>
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<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]" encoding="UTF-8">Derivar o volume com respeito ao tempo clicando o bot\303\243o</Font><Font opaque="false" background="[0,0,0]"> <Font bold="true">Diff wrt indep var</Font><Font encoding="UTF-8"> . O resultado desta deriva\303\247\303\243o </Font></Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/differentiation.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">diferencia\303\247\303\243o</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> \303\251 mostrada usando </Font><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y5LyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUC1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIlZGJy9GN1EldHJ1ZUYnL0Y6USdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjhGOUY5RmluRjlGK0ZpbkY5RitGaW5GOQ==">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</Equation><Font opaque="false" background="[0,0,0]"> e </Font><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8">para representar as varia\303\247\303\265es do volume e do raio, respectivamente. Conclua fazendo este resultado a equa\303\247\303\243o ativa. A equa\303\247\303\243o ativa deve ser agora </Font><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kiVkdGKCwkKioiIiUiIiJJI1BpR0YmRi4pSSJyR0YoIiIjRi4tRiQ2I0YxRi5GLg==</Equation></Text-field>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">Passo 4</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L413" 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">Substituir os valores e as taxas dados na rela\303\247\303\243o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/differentiate.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">diferenciada</Font></Hyperlink><Font encoding="UTF-8">, clicar o bot\303\243o  </Font><Font bold="true">Subs variables</Font><Font encoding="UTF-8">, ativar resultado, clicar no bot\303\243o </Font><Font bold="true">Subs rates of change</Font><Font encoding="UTF-8">, e fazer este resultado ativo. (As duas substitui\303\247\303\265es podem ser feitas em qualquer ordem.)  No final do passo  4 a equa\303\247\303\243o ativa deve ser </Font><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtSSNtbkdGJDYkUSQ0MDBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI9RidGNy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZPLUYjNiktRjQ2JFEkMjU2RidGNy1GOzYtUTEmSW52aXNpYmxlVGltZXM7RidGN0Y+RkFGQ0ZFRkdGSUZLL0ZOUSYwLjBlbUYnL0ZRRmVuLUYsNiVRJyYjOTYwO0YnLyUnaXRhbGljR0ZARjdGVy1GIzYnLUYsNiVRIkRGJ0ZqbkY3LUY7Ni1RMCZBcHBseUZ1bmN0aW9uO0YnRjdGPkZBRkNGRUZHRklGS0ZaRmZuLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEickYnL0Zbb1EldHJ1ZUYnL0Y4USdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRkBGN0Y3RmBwRjdGK0Y3RitGYHBGN0YrRmBwRjdGK0ZgcEY3</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LyIkKyUsJCooIiRjIyIiIkkjUGlHJSpwcm90ZWN0ZWRHRictSSJERzYkRilJKF9zeXNsaWJHNiI2I0kickdGLkYnRic=</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">Passo 5</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L399" 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">Resolver para encontrar a quantidade desconhecida clicando o bot\303\243o </Font><Font bold="true">Resolver para a quantidade desconhecida</Font>.</Text-field>
<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">(Para ver uma vers\303\243o com </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/F/floatingpoint -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">ponto flutuante</Font></Hyperlink><Font encoding="UTF-8"> de qualquer resultado, clicar o bot\303\243o direito do mouse sobre um campo, selecionar o a primeira op\303\247\303\243o do menu (</Font><Font bold="true">Manipule</Font>), e depois <Font bold="true">evalf</Font>.)  O resultado deve ser<Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation> ou <Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kickdGKCwkKiYjIiNEIiM7IiIiSSNQaUdGJiEiIkYw</Equation></Text-field>
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</Section>
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<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"></Text-field>
<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">Isto completa a solu\303\247\303\243o usando o maplet </Font><Hyperlink linktarget="Dictionary:Definition,solution" hyperlink="true"></Hyperlink><Font italic="true">Taxas Relacionadas</Font><Font encoding="UTF-8">. Para este problema o maplet n\303\243o \303\251 realmente necess\303\241rio. Mas, quando existe mais vari\303\241veis, e uma rela\303\247\303\243o mais complicada, ou outros aspectos complicados, o maplet pode ser de grande ajuda para economizar tempo.</Font></Text-field>
<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"></Text-field>
</Input>
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</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="L262">
<Input>
<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>
</Input>
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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>
<Group autoexecute="true" labelreference="L258" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

nn1 := Generate(choose([1,2])):
incdec1 := ('increases','decreases')[nn1]:
incdec2 := ('increasing','decreasing')[nn1]:

dV1 := Generate(integer(range=10..20)) * 10:
D1 := Generate(integer(range=1..5)) * 10:
ans1 := dV1/D1^2/Pi;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyIiKCIkRCI=</Equation></Text-field>
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<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>
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<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 15.1</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>
<Group labelreference="L261">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8"> O ar est\303\241 sendo removido de um bal\303\243o esf\303\251rico de forma que seu volume</Font> <Font bold="true" style="Text" foreground="[0,128,128]">`$incdec1`</Font> em uma taxa de <Font bold="true" style="Text" foreground="[0,128,128]">`$dV1`</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPlEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkQtRiw2JVEic0YnRjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGVC8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRklGRA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPlEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkQtRiw2JVEic0YnRjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGVC8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRklGRA==</Equation><Font encoding="UTF-8">. Qu\303\243o r\303\241pido  o raio do bal\303\243o est\303\241 </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$incdec2`</Font>, em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==</Equation><Font encoding="UTF-8">, quando o di\303\242metro \303\251 </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$D1`</Font> <Font italic="true">cm</Font><Font encoding="UTF-8">?  (O que \303\251 </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2RyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2RyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=</Equation>?)</Text-field>
<Text-field style="Text" layout="Normal">Escreva <Font italic="true">Pi</Font><Font encoding="UTF-8"> para representar \317\200.</Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label0" caption="Insira a 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>
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</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="L260">
<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>dV1/D1^2/`&amp;#x3c0;`;</Text-field>
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</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="L257">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb((evalf(<Font style="Maple Input" foreground="[0,128,128]">`$ans1`</Font>-`$RESPONSE`=0,5)));</Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</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="L10" 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]">The volume of a sphere with radius </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="true" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">r</Font><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]"> is </Font><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="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><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]">Both </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="true" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">V</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> and </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="true" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">r</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> are functions of time.  Use the chain rule when differentiating </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiM0YnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiM0YnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==</Equation></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="12"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="13"><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="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(`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;The&amp;MediumSpace;volume&amp;MediumSpace;of&amp;MediumSpace;a&amp;MediumSpace;sphere&amp;MediumSpace;with&amp;MediumSpace;radius&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;r&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;is&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000'&gt;V&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mfrac background='#000000'&gt;&lt;mrow&gt;&lt;mn mathbackground='#000000'&gt;4&lt;/mn&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;&amp;amp;pi;&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;r&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn mathbackground='#000000'&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button1" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;Both&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;V&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;and&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;r&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;are&amp;MediumSpace;functions&amp;MediumSpace;of&amp;MediumSpace;time.&amp;MediumSpace;&amp;MediumSpace;Use&amp;MediumSpace;the&amp;MediumSpace;chain&amp;MediumSpace;rule&amp;MediumSpace;when&amp;MediumSpace;differentiating&amp;MediumSpace;&lt;/mtext&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;r&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$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="14"><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>

</Text-field>
<Group labelreference="L259" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></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 :=  dV1/D1^2/`&amp;#x3c0;`;  if evalb((evalf(ans1-eval(parse(StudentResponse))=0,5))) 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;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;125&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&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;&lt;/mtext&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;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;125&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&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" spaceabove="7">Exemplo 15.2</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do Problema</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L427" 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">Um avi\303\243o voando para o norte a (uma velocidade) </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">  km por hora sobrevoa sua casa ao meio dia. Uma hora depois um avi\303\243o voando a </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">  km por hora muda a trajet\303\263ria para o leste quando est\303\241 sobrevoando sua casa. (Assuma que os avi\303\265es voem nesta trajet\303\263ria para sempre.)</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(i) Encontre a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es \303\240s 3 da tarde.</Font></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(ii) Encontre a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es para qualquer tempo depois de 1 da tarde. (Porque esta resposta n\303\243o se aplica para um tempo antes de 1 da tarde?)</Font></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(iii) Descreva a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es ao longo do tempo ap\303\263s sobrevoar a sua casa.</Font></Text-field>
<Text-field style="List Item" layout="List Item"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Solu\303\247\303\243o</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L430" 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">A rela\303\247\303\243o fundamental neste problema \303\251 a dist\303\242ncia entre os avi\303\265es a qualquer tempo depois de  1 da tarde. Assuma  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=</Equation>  correspondendo a 1 da tarde. Defina um <Hyperlink linktarget="Wks:../Dicion\303\241rio/C/coordinatesystem.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">sistema de coordenadas</Font></Hyperlink><Font encoding="UTF-8"> na qual a sua casa est\303\241 na origem, a dire\303\247\303\243o norte \303\251 o eixo-y </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/positive.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">positivo</Font></Hyperlink><Font encoding="UTF-8">, e a dire\303\247\303\243o leste \303\251 o eixo-x positivo. Ent\303\243o, para qualquer tempo   </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8">  &gt; 0, a posi\303\247\303\243o dos dois avi\303\265es s\303\243o</Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>, respectivamente, quando <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> e <Equation executable="false" style="2D Math" input-equation="" 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encoding="UTF-8"> s\303\243o as dist\303\242ncias dos dois avi\303\265es \303\240 sua casa. 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<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]" encoding="UTF-8">\303\201s 3 da tarde, </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4=</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> , o primeiro avi\303\243o viajou:</Font></Text-field>
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<Text-field style="Text" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  = 3000 km </Text-field>
<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"></Text-field>
<Text-field style="Maple Input" 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 style="Text" background="[255,255,255]" encoding="UTF-8">al\303\251m da sua casa enquanto o avi\303\243o de menor velocidade viajou somente: </Font></Text-field>
<Text-field style="Maple Input" 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"></Text-field>
<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"></Text-field>
<Text-field style="Text" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  = 1600 km </Text-field>
<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"></Text-field>
<Text-field style="Maple Input" 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 style="Text" background="[255,255,255]" encoding="UTF-8">(Lembre que o primeiro avi\303\243o sobrevoa sua casa uma hora antes do segundo avi\303\243o.)  A dist\303\242ncia entre eles no tempo \303\251</Font></Text-field>
<Text-field style="Maple Input" 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"></Text-field>
<Text-field style="Text" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"> <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>  = 3400 km </Text-field>
<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"></Text-field>
<Text-field style="Maple Input" 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 style="Text" encoding="UTF-8">Substituindo estes valores na f\303\263rmula para a varia\303\247\303\243o da dist\303\242ncia temos:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Solu\303\247\303\243o do Exemplo 15.2, parte (i) pelo Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
</Section>
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<Text-field style="Heading 3" layout="Heading 3">(ii)</Text-field></Title>
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<Text-field style="Maple Input" opaque="true" background="[0,255,255]" 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 style="Text" encoding="UTF-8">Para um tempo ap\303\263s 1 da tarde, </Font><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==</Equation><Font style="Text" encoding="UTF-8">o primeiro avi\303\243o viajou</Font></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="true" underline="false" background="[0,255,255]" 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="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">e a varia\303\247\303\243o da dist\303\242ncia entre eles \303\251:</Font></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 confirmar estes resultados, note que substituindo <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8"> na primeira f\303\263mula fornece 3400, enquanto que </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=</Equation><Font encoding="UTF-8">  na segunda f\303\263rmula poderia ser obtida pela deriva\303\247\303\243o da f\303\263mula da dist\303\242ncia expressa </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/explicit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">explicitamente</Font></Hyperlink> em termos de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</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"><Font encoding="UTF-8">Estas f\303\263mulas n\303\243o s\303\243o aplic\303\241veis para tempo anterior a 1 da tarde (</Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8">  &lt; 0) porque n\303\243o conhecemos a trajet\303\263ria do segundo avi\303\243o antes de 1 da tarde.</Font></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">(iii)</Text-field></Title>
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<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]" encoding="UTF-8">A f\303\263rmula geral para uma varia\303\247\303\243o da dist\303\242ncia entre os dois avi\303\265es, como uma fun\303\247\303\243o de </Font><Font opaque="false" background="[0,0,0]"> <Font italic="true">t</Font>, foi encontrada em  <Font bold="true" italic="true">(ii)</Font><Font encoding="UTF-8">, e \303\251:</Font></Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUYjNigtSSdtdW5kZXJHRiQ2JS1JI21vR0YkNi9RJGxpbUYnLyUrZm9yZWdyb3VuZEdRLlsxNDQsMTQ0LDE0NF1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvSSttc2VtYW50aWNzR0YkUSZpbmVydEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dRJXRydWVGJy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjE2NjY2NjdlbUYnLUYjNigtSSNtaUdGJDYlUSJ0RicvJSdpdGFsaWNHRkovRjhRJ2l0YWxpY0YnLUYxNi1RKCYjODU5NDtGJ0Y3Rj1GQEZCRkRGRi9GSUY/RktGTS9GUUZPLUZWNiVRKCYjODczNDtGJ0ZZRmVuL0Y1UShbMCwwLDBdRicvJSlyZWFkb25seUdGP0Y3LyUsYWNjZW50dW5kZXJHRj8tSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuNGVtRicvJSZkZXB0aEdGam8vJSpsaW5lYnJlYWtHUSVhdXRvRictSSZtZnJhY0dGJDYoLUYjNigtSSNtbkdGJDYkUSQyMDBGJ0Y3LUYxNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y3Rj1GQEZCRkRGRkZqbkZLRk1GW28tSShtZmVuY2VkR0YkNiQtRiM2Ji1GaXA2JFEjMjVGJ0Y3LUYxNi1RIitGJ0Y3Rj1GQEZCRkRGRkZqbkZLL0ZOUSwwLjIyMjIyMjJlbUYnL0ZRRltyLUYjNiYtRmlwNiRRIzQxRidGN0ZccUZVRjdGN0Y3Rl9vRmFvRjctRiM2Ji1JJm1zcXJ0R0YkNiMtRiM2KEZkcUZncS1GIzYmLUZpcDYkUSM1MEYnRjdGXHFGVUY3RmdxLUYjNiZGX3JGXHEtSSVtc3VwR0YkNiVGVS1GaXA2JFEiMkYnRjcvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjdGN0Zfb0Zhb0Y3LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZedC8lKWJldmVsbGVkR0Y/Rl9vRmFvRjctRjE2LVEiPUYnRjdGPUZARkJGREZGRmpuRksvRk5RLDAuMjc3Nzc3OGVtRicvRlFGZ3QtRiM2JkZocEZccS1GZXI2I0ZfckY3Rl9vRmFvRjc=">Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooIiQrIyIiIiwmIiNERi0qJiIjVEYtSSJ0R0YoRi1GLUYtKSwoRi9GLSomIiNdRi1GMkYtRi0qJkYxRi0pRjIiIiNGLUYtI0YtRjkhIiJGLS9GMkkpaW5maW5pdHlHRiYsJComRixGLSlGMUY6Ri1GLQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">L0khRzYiJCIrWltpIUciISIn</Equation></Text-field>
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<Group labelreference="L426" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
</Section>
</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="L298">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="15"><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="16"><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="17"><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="L294" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

L1 := Generate(integer(range=6..20)):
x1 := Generate(integer(range=1..L1)):
while (x1 = L1) do x1 := Generate(integer(range=1..L1)) end do:
dx1 := Generate(integer(range=1..20)):
while (dx1 &gt;= L1-2) do dx1 := Generate(integer(range=1..20)) end do:
y1 := sqrt(L1^2-x1^2):
ans2 := x1*dx1/y1;<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="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">LCQqJCIiJyMiIiIiIiMjIiImIiM3</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L301" 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 15.2</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="18"><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="L297">
<Input>
<Text-field style="Text" layout="Normal">Uma escada de <Font bold="true" style="Text" foreground="[0,128,128]">`$L1`</Font> <Font italic="true">ft</Font><Font encoding="UTF-8"> repousa em uma parede vertical. Se os p\303\251s da escada deslizam da parede em uma taxa </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$dx1`</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==</Equation>, qual a velocidade que o topo da escada desliza pela parede, em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==</Equation><Font encoding="UTF-8">, quando o p\303\251 da escada est\303\241 a uma dist\303\242ncia de </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$x1`</Font> <Font italic="true">ft</Font><Font encoding="UTF-8"> p\303\251s da parede? (O que \303\251 </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2R5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2R5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=</Equation>, tendo valor positivo?)</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="19"><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="L296">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="20"><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="21"><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="L293">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(evalf(`$ANSWER`-`$RESPONSE`,5)=0);</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="22"><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="23"><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]">The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.</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]">Both x and y are functions of time.  Use the chain rule when differentiating </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==</Equation><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]"> or </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==</Equation><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-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="24"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="25"><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;The&amp;MediumSpace;Pythagorean&amp;MediumSpace;Theorem&amp;MediumSpace;provides&amp;MediumSpace;the&amp;MediumSpace;relationship&amp;MediumSpace;between&amp;MediumSpace;the&amp;MediumSpace;distance&amp;MediumSpace;from&amp;MediumSpace;the&amp;MediumSpace;base&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;wall&amp;MediumSpace;to&amp;MediumSpace;the&amp;MediumSpace;top&amp;MediumSpace;and&amp;MediumSpace;bottom&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;ladder.&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;Both&amp;MediumSpace;x&amp;MediumSpace;and&amp;MediumSpace;y&amp;MediumSpace;are&amp;MediumSpace;functions&amp;MediumSpace;of&amp;MediumSpace;time.&amp;MediumSpace;&amp;MediumSpace;Use&amp;MediumSpace;the&amp;MediumSpace;chain&amp;MediumSpace;rule&amp;MediumSpace;when&amp;MediumSpace;differentiating&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;x&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;MediumSpace;or&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;y&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;.&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="26"><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="L295" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="27"><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="28"><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 evalb(evalf(ANSWER-eval(parse(StudentResponse)),5)=0) 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;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&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;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&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="L316">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="29"><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="30"><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="31"><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="L312" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

L2 := Generate(integer(range=6..20)):
y2 := Generate(integer(range=1..L2)):
while (y2 = L2) do y2 := Generate(integer(range=1..L2)) end do:
dy2 := Generate(integer(range=1..20)):
while (dy2 &gt;= L2-2) do dy2 := Generate(integer(range=1..20)) end do:
x2 := sqrt(L2^2-y2^2):
ans3 := y2*dy2/x2;<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="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">LCQqJCIiJyMiIiIiIiMjIiImIiM3</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L317" 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 15.3</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="32"><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="L315">
<Input>
<Text-field style="Text" layout="Normal">Uma escada de 18 <Font italic="true">ft</Font> repousa<Font encoding="UTF-8"> contra uma parede vertical. Se o topo da escada est\303\241 sendo puxado para cima da parede, a uma taxa de 11</Font> <Font italic="true">ft</Font>/s, em que a taxa, em <Font italic="true">ft</Font><Font encoding="UTF-8">/s, a parte inferior da escada se desloca em dire\303\247\303\243o \303\240 parede, quando o topo da escada est\303\241 a 5</Font> <Font italic="true">ft</Font> <Font encoding="UTF-8">do ch\303\243o? (O que \303\251 </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JJm1mcmFjR0YkNigtRiM2JC1GLDYlUSNkeEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GPVEnbm9ybWFsRictRiM2JC1GLDYlUSNkdEYnRjlGPEY/LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZLLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGP0YrRj8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JJm1mcmFjR0YkNigtRiM2JC1GLDYlUSNkeEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GPVEnbm9ybWFsRictRiM2JC1GLDYlUSNkdEYnRjlGPEY/LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZLLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGP0YrRj8=</Equation>?)</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="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="33"><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="L314">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="34"><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="35"><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="L311">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(evalf(`$ANSWER`-`$RESPONSE`,5)=0);</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="36"><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="37"><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]">The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.</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="38"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="39"><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="40"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="41"><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="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `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;The&amp;MediumSpace;Pythagorean&amp;MediumSpace;Theorem&amp;MediumSpace;provides&amp;MediumSpace;the&amp;MediumSpace;relationship&amp;MediumSpace;between&amp;MediumSpace;the&amp;MediumSpace;distance&amp;MediumSpace;from&amp;MediumSpace;the&amp;MediumSpace;base&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;wall&amp;MediumSpace;to&amp;MediumSpace;the&amp;MediumSpace;top&amp;MediumSpace;and&amp;MediumSpace;bottom&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;ladder.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button9" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button10" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="42"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$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="L313" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="43"><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="44"><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 evalb(evalf(ANSWER-eval(parse(StudentResponse)),5)=0) 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;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&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;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&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="L331">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="45"><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="46"><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="47"><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="L327" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

nn2 := Generate(choose([1,2])):
nn3 := Generate(choose([1,2])):
dir1 := ('east','west')[nn2]:
dir2 := ('north','south')[nn3]:
v1 := Generate(integer(range=1..12))*5:
v2 := Generate(integer(range=1..12))*5:
d1 := evalf(Generate(integer(range=2..20))/10,2):
d2 := evalf(Generate(integer(range=2..20))/10,2):
ans4 := evalf(-(d1*v1+d2*v2)/sqrt(d1^2+d2^2),5);<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="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">JCEmODcjISIk</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L332" 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 15.4</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="48"><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="L330">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Dois carros se aproximam de um cruzamento em diferentes dire\303\247\303\265es. O carro 1 est\303\241 viajando na </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$dir1`</Font> a <Font bold="true" style="Text" foreground="[0,128,128]">`$v1`</Font> <Font italic="true">mph</Font><Font encoding="UTF-8">; O carro 2 est\303\241 na </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$dir2`</Font> a <Font bold="true" style="Text" foreground="[0,128,128]">`$v2`</Font> <Font italic="true">mph</Font>. Qual a taxa, em <Font italic="true">mph</Font><Font encoding="UTF-8">, que a dist\303\242ncia entre os carros muda quando o carro 1 est\303\241 a </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$d1`</Font> <Font italic="true">mi</Font><Font encoding="UTF-8"> e o carro 2 est\303\241 </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$d2`</Font> <Font italic="true">mi</Font> do encontro entre eles? (west=oeste; north=norte;east=leste;south=sul).</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea3" 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="Label3" 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="49"><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="L329">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ans4;<Taskdata-inline tag_id="50"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline></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="51"><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="L326">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(evalf(`$ANSWER`-`$RESPONSE`=0,5));</Text-field>
</Input>
</Group>
<Group labelreference="L333" 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="52"><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="53"><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"><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]">Read the question carefully. Should your answer be negative or positive?</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]">The distance </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=</Equation><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]"> between the cars is related to the distances, </Font><Equation executable="false" style="2D Math" input-equation="" 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display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=</Equation><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]">, of Car 1 and Car 2, respectively, from the intersection by </Font><Equation executable="false" style="2D Math" input-equation="" 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<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]">All three distances, </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=</Equation><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><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=</Equation><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]">, and </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=</Equation><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]">, are functions of time.</Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button12" 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(`TextArea3`, `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;Read&amp;MediumSpace;the&amp;MediumSpace;question&amp;MediumSpace;carefully.&amp;MediumSpace;Should&amp;MediumSpace;your&amp;MediumSpace;answer&amp;MediumSpace;be&amp;MediumSpace;negative&amp;MediumSpace;or&amp;MediumSpace;positive?&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="Button13" 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(`TextArea3`, `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;The&amp;MediumSpace;distance&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;MediumSpace;between&amp;MediumSpace;the&amp;MediumSpace;cars&amp;MediumSpace;is&amp;MediumSpace;related&amp;MediumSpace;to&amp;MediumSpace;the&amp;MediumSpace;distances,&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;MediumSpace;and&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;,&amp;MediumSpace;of&amp;MediumSpace;Car&amp;MediumSpace;1&amp;MediumSpace;and&amp;MediumSpace;Car&amp;MediumSpace;2,&amp;MediumSpace;respectively,&amp;MediumSpace;from&amp;MediumSpace;the&amp;MediumSpace;intersection&amp;MediumSpace;by&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;x&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.2222222em' rspace='0.2222222em' background='#000000'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;y&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;d&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;.&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="Button14" caption="Dica #3" 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(`TextArea3`, `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;All&amp;MediumSpace;three&amp;MediumSpace;distances,&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;,&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;,&amp;MediumSpace;and&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mi mathbackground='#000000'&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;,&amp;MediumSpace;are&amp;MediumSpace;functions&amp;MediumSpace;of&amp;MediumSpace;time.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="54"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$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="L328" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="55"><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="56"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button15" 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(`TextArea3`, `value`);   ANSWER := ans4; ;  if evalb(evalf(ANSWER-eval(parse(StudentResponse))=0,5)) 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;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;21.213&lt;/mn&gt;&lt;/mrow&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;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;21.213&lt;/mn&gt;&lt;/mrow&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" spaceabove="7">Exemplo 15.3</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do  Problema</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
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<Input>
<Text-field style="Maple Input" 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 style="Text" encoding="UTF-8">Um tanque de \303\241gua esf\303\251rico de  20 p\303\251s de raio \303\251 esvaziado a uma raz\303\243o de 2000 p\303\251s c\303\272bicos por hora.</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(i) Assumindo que o tanque estava cheio at\303\251 a metade ao meio dia , Encontre as alturas da \303\241gua no tanque quando 25%, 50%, 75%, e 100% dela havia sido retirada do tanque.</Font></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(ii) Qual \303\251 a raz\303\243o em que a altura da \303\241gua no tanque est\303\241 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/decreasing.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">decrescendo</Font></Hyperlink><Font encoding="UTF-8"> quando metade do volume de \303\241gua inicial j\303\241 tinha sido retirada?</Font></Text-field>
</Input>
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<Group labelreference="L513" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">Sugest\303\243o: </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/V/volume.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 3">Volume</Font></Hyperlink> de um Segmento de uma Esfera</Text-field></Title>
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<Input>
<Text-field style="Text" opaque="true" background="[0,255,255]" 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"></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]">O volume de um segmento de uma esfera de raio  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8">  cheia at\303\251 uma altura </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8">  \303\251</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="right"><Font bold="true">(15.1)</Font></Text-field></Table-Cell></Table-Row></Table>
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<Input>
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</Input>
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</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Solu\303\247\303\243o</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">(i)</Text-field></Title>
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<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"></Text-field>
<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">Esta parte do problema n\303\243o envolve taxas relacionadas, somente \303\241lgebra. </Font></Text-field>
<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"></Text-field>
<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">Designando meio dia no tempo <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8">. O tanque estava cheio (at\303\251 a metade) quando  </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">; o volume inicial no tanque \303\251:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font background="[255,255,255]" encoding="UTF-8">Existem tr\303\252s solu\303\247\303\265es desta equa\303\247\303\243o, e elas s\303\243o:</Font></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LyElKz8sJCoqSSNQaUclKnByb3RlY3RlZEciIiItJCIrKkcyYUkiISIpNiNJInRHNiJGKEkjaCdHRi9GKCwmIiNTISIiRilGKEYoRjM=</Equation></Text-field>
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<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Resolvendo esta equa\303\247\303\243o para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjaCdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjaCdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn</Equation><Font encoding="UTF-8"> d\303\241:</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEmZXZhbGZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUTAmQXBwbHlGdW5jdGlvbjtGJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUy1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1GLDYlUShpc29sYXRlRidGNkY5RjwtRlc2JC1GIzYnLUYsNiVRI0VRRidGNkY5LUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GUS9GVVEsMC4zMzMzMzMzZW1GJy1GLDYlUSVgaCdgRidGNkY5LyUrZXhlY3V0YWJsZUdGREZARkBGam9GQEYrRmpvRkBGQEZqb0ZARitGam9GQEYrRmpvRkA=</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">L0kjaCdHNiIkIStOSyUpND0hIio=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Input>
<Text-field style="Maple Input" 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 style="Text" encoding="UTF-8">Assim, a altura da \303\241guas decresce a uma raz\303\243o de 1.81 </Font><Font style="Text" italic="true">ft/hr</Font><Font style="Text">.</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8">Figura 15.4 mostra esta solu\303\247\303\243o computada no Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita.</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
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</Group><Table interior="group" showinput="true" alignment="center" exterior="all" width="620.0" labelreference="L463" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="cell" postexecute="insert" showgroup="false"><Table-Column weight="875" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Image height="476" width="600" zoomable="false" labelreference="L17" drawcaption="false" captionalignment="0" captionposition="1">[encoded data, 97316 characters]<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlK2dGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiVnWkYqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Figura 15.4</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">Solu\303\247\303\243o do  Exemplo 15.3 (ii) pelo Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
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<Text-field style="Text" layout="Normal"></Text-field>
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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="57"><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="58"><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="59"><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():

R1 := Generate(integer(range=6..20)):
H1 := Generate(integer(range=6..20)):
h1 := Generate(integer(range=2..15)):
while (h1 &gt;= H1) do h1 := Generate(integer(range=2..15)) end do:
dV2 := Generate(integer(range=1..20)):
ans5 := -dV2*(H1/(R1*h1))^2/Pi;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyEjRCIkVCU=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<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 15.5</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="60"><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="L349">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Um tanque de \303\241gua possui o formato de um cone reto circular, com o topo virado para baixo. O tanque tem uma altura de </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$H1`</Font> <Font italic="true">cm,</Font>  e o raio (no topo) tem <Font bold="true" style="Text" foreground="[0,128,128]">`$R1`</Font> <Font italic="true">cm</Font><Font encoding="UTF-8">.  Se retiramos \303\241gua do tanque em uma taxa de </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$dV2`</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPVEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkNGK0ZIRkNGK0ZIRkM=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPVEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkNGK0ZIRkNGK0ZIRkM=</Equation>, encontre a taxa, em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==</Equation><Font encoding="UTF-8">, na qual o n\303\255vel de \303\241gua est\303\241 mudando quando a \303\241gua possui </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$h1`</Font> <Font italic="true">cm</Font> de profundidade.</Text-field>
<Text-field style="Text" layout="Normal">Use <Font italic="true">Pi</Font> para representar <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLkYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0Y3RitGUUY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLkYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0Y3RitGUUY3</Equation></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea4" 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="Label4" 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="61"><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="L348">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="62"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline>-dV2*(H1/(R1*h1))^2/`&amp;#x3c0;`;</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="63"><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="L345">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(evalf(<Font style="Maple Input" foreground="[0,128,128]">`$ans5`</Font>-`$RESPONSE`=0,6));</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="64"><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="65"><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="L48" 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]">The volume of a right circular cone with radius r and height h is </Font><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-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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">V, r and h are functions of time.</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]">Use similar triangles to obtain a relationship between the height and radius that is valid for all water heights.</Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button16" 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(`TextArea4`, `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;The&amp;MediumSpace;volume&amp;MediumSpace;of&amp;MediumSpace;a&amp;MediumSpace;right&amp;MediumSpace;circular&amp;MediumSpace;cone&amp;MediumSpace;with&amp;MediumSpace;radius&amp;MediumSpace;r&amp;MediumSpace;and&amp;MediumSpace;height&amp;MediumSpace;h&amp;MediumSpace;is&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000'&gt;V&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mfrac background='#000000'&gt;&lt;mrow&gt;&lt;mn mathbackground='#000000'&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn mathbackground='#000000'&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&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;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;&amp;amp;pi;&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;r&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathbackground='#000000'&gt;h&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button17" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;V,&amp;MediumSpace;r&amp;MediumSpace;and&amp;MediumSpace;h&amp;MediumSpace;are&amp;MediumSpace;functions&amp;MediumSpace;of&amp;MediumSpace;time.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$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="Button18" caption="Dica #3" 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(`TextArea4`, `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;Use&amp;MediumSpace;similar&amp;MediumSpace;triangles&amp;MediumSpace;to&amp;MediumSpace;obtain&amp;MediumSpace;a&amp;MediumSpace;relationship&amp;MediumSpace;between&amp;MediumSpace;the&amp;MediumSpace;height&amp;MediumSpace;and&amp;MediumSpace;radius&amp;MediumSpace;that&amp;MediumSpace;is&amp;MediumSpace;valid&amp;MediumSpace;for&amp;MediumSpace;all&amp;MediumSpace;water&amp;MediumSpace;heights.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="66"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$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="L347" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="67"><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="68"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button19" 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(`TextArea4`, `value`);   ANSWER :=  -dV2*(H1/(R1*h1))^2/`&amp;#x3c0;`;  if evalb(evalf(ans5-eval(parse(StudentResponse))=0,6)) 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;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;25&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;441&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&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;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;25&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;441&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&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="L366">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="69"><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="70"><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="71"><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="L362" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

R2 := Generate(integer(range=6..20)):
H2 := Generate(integer(range=6..20)):
h2 := Generate(integer(range=2..15)):
while (h2 &gt;= H2) do h2 := Generate(integer(range=2..15)) end do:
dV3 := Generate(integer(range=1..20)):
ans6 := dV3/R2^2/Pi;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyIiIiIjXA==</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L369" 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 15.6</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="72"><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="L365">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Um tanque de \303\241gua possui a forma de um cilindro circular reto. O tanque possui </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$H2`</Font> <Font italic="true">cm</Font><Font encoding="UTF-8"> de altura, e o raio \303\251 </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$R2`</Font> <Font italic="true">cm</Font><Font encoding="UTF-8">.  Se retirarmos \303\241gua a uma taxa de </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$dV3`</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYnRistSSVtc3VwR0YkNiUtRiw2JVEjY21GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtbkdGJDYkUSIzRicvRkBRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0ZGLUYjNiUtRiw2JVEic0YnRjxGP0ZLRkYvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlgvJSliZXZlbGxlZEdRJmZhbHNlRidGK0ZLRkZGK0ZLRkY=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYnRistSSVtc3VwR0YkNiUtRiw2JVEjY21GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtbkdGJDYkUSIzRicvRkBRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0ZGLUYjNiUtRiw2JVEic0YnRjxGP0ZLRkYvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlgvJSliZXZlbGxlZEdRJmZhbHNlRidGK0ZLRkZGK0ZLRkY=</Equation>, encontre a taxa, em<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==</Equation><Font encoding="UTF-8">, na qual o n\303\255vel de \303\241gua est\303\241 aumentando quando a \303\241gua possui </Font><Font bold="true" style="Text" foreground="[0,128,128]">`$h2`</Font> <Font italic="true">cm</Font> de profundidade.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">Use <Font italic="true">Pi</Font> para representar <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLkYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0Y3RitGUUY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLkYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0Y3RitGUUY3</Equation></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea5" 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="Label5" 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="73"><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="L364">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="74"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Taskdata-inline>dV3/R2^2/`&amp;#x3c0;`;</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="75"><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="L361">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(evalf(<Font style="Maple Input" foreground="[0,128,128]">`$ans6`</Font>-`$RESPONSE`,6)=0);</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="76"><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="77"><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="L55" 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]">Read the question carefully. Should your answer be negative or positive?</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]">The volume of a right circular cylinder with radius r and height h is </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><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-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="78"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="79"><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="Button20" 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(`TextArea5`, `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;Read&amp;MediumSpace;the&amp;MediumSpace;question&amp;MediumSpace;carefully.&amp;MediumSpace;Should&amp;MediumSpace;your&amp;MediumSpace;answer&amp;MediumSpace;be&amp;MediumSpace;negative&amp;MediumSpace;or&amp;MediumSpace;positive?&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="Button21" 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(`TextArea5`, `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;The&amp;MediumSpace;volume&amp;MediumSpace;of&amp;MediumSpace;a&amp;MediumSpace;right&amp;MediumSpace;circular&amp;MediumSpace;cylinder&amp;MediumSpace;with&amp;MediumSpace;radius&amp;MediumSpace;r&amp;MediumSpace;and&amp;MediumSpace;height&amp;MediumSpace;h&amp;MediumSpace;is&amp;MediumSpace;&lt;/mtext&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;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000'&gt;V&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;&amp;amp;pi;&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi mathbackground='#000000'&gt;r&lt;/mi&gt;&lt;mn mathbackground='#000000'&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathbackground='#000000'&gt;h&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;.&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="Button22" 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="80"><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="L363" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="81"><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="82"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button23" 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(`TextArea5`, `value`);   ANSWER :=  dV3/R2^2/`&amp;#x3c0;`;  if evalb(evalf(ans6-eval(parse(StudentResponse)),6)=0) 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;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&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;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3c0;&lt;/mi&gt;&lt;/mrow&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" spaceabove="7">Exemplo 15.4</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do Problema</Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field>
<Group labelreference="L539" drawlabel="true">
<Input>
<Text-field style="Maple Input" 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 style="Text" encoding="UTF-8">Uma bola de neve de forma esf\303\251rica derrete em uma raz\303\243o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/proportion.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">proporcional</Font></Hyperlink><Font style="Text" encoding="UTF-8"> \303\240 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/A/area.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">\303\241rea</Font></Hyperlink><Font style="Text" encoding="UTF-8"> de sua superf\303\255cie.</Font></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="List Item" layout="List Item"><Font encoding="UTF-8">(i) Mostre que seu raio encolhe a uma raz\303\243o constante</Font>.</Text-field>
<Text-field style="List Item" layout="List Item">(ii) Se, durante a primeira hora, metade da bola de neve derreteu, quanto tempo vai levar para se derreter completamente?</Text-field>
<Text-field style="List Item" layout="List Item"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Solu\303\247\303\243o</Font></Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">(i)</Text-field></Title>
<Group labelreference="L523" drawlabel="true">
<Input>
<Text-field style="Text" opaque="true" background="[0,255,255]" 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="false" background="[0,0,0]">O volume, <Font italic="true">V</Font><Font encoding="UTF-8">, e a \303\241rea da superf\303\255cie, </Font><Font italic="true">S</Font>, para uma esfera de raio <Font italic="true">r </Font><Font encoding="UTF-8">s\303\243o, respectivamente:</Font></Font></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" 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"></Text-field>
</Input>
</Group>
<Group labelreference="L525" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJy1JI21vR0YkNi1RIjtGJ0Y9LyUmZmVuY2VHRjwvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRidGOkY9">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJy1JI21vR0YkNi1RIjtGJ0Y9LyUmZmVuY2VHRjwvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRidGOkY9</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</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"><Font encoding="UTF-8">Se o volume muda a uma raz\303\243o proporcional a \303\241rea da superf\303\255cie, ent\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRI2RWRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y9USdub3JtYWxGJy1GIzYkLUYsNiVRI2R0RidGOUY8Rj8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRksvJSliZXZlbGxlZEdRJmZhbHNlRictSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0ZQLyUqc2VwYXJhdG9yR0ZQLyUpc3RyZXRjaHlHRlAvJSpzeW1tZXRyaWNHRlAvJShsYXJnZW9wR0ZQLyUubW92YWJsZWxpbWl0c0dGUC8lJ2FjY2VudEdGUC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRl9vLUYjNiYtRiw2JVEia0YnRjlGPC1GUjYtUTEmSW52aXNpYmxlVGltZXM7RidGP0ZVRldGWUZlbkZnbkZpbkZbby9GXm9RJjAuMGVtRicvRmFvRltwLUYsNiVRIlNGJ0Y5RjxGP0YrRj9GK0Y/</Equation>, para um determinado <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8">, assim a equa\303\247\303\243o acima fica:</Font></Text-field>
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<Text-field style="Normal" layout="Normal">da qual segue: </Text-field>
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<Text-field style="Heading 3" layout="Heading 3">(ii)</Text-field></Title>
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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 encoding="UTF-8">Sabemos que o raio decresce a uma raz\303\243o constante, por\303\251m a uma raz\303\243o ainda desconhecida. Se chamarmos esta raz\303\243o de  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> , ent\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtRiM2Ji1GOzYtUSIoRidGPi9GQUY2RkMvRkZGNkZHRklGS0ZNL0ZQUSwwLjE2NjY2NjdlbUYnL0ZTRmZuLUYjNiQtRiw2JVEidEYnRjRGN0Y+LUY7Ni1RIilGJ0Y+RllGQ0ZaRkdGSUZLRk1GZW4vRlNRLDAuMTExMTExMWVtRidGPkYrRj5GK0Y+">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</Equation>, o raio  a qualquer tempo  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> ser\303\241 o raio inicial </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHRkBGK0ZB">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHRkBGK0ZB</Equation> menos <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRInRGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRInRGJ0Y0RjdGPkYrRj4=</Equation>.  Assim, o raio varia da forma:</Text-field>
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<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">n\303\243o lembrar que uma quantidade \303\251 na verdade uma fun\303\247\303\243o do tempo</Font>,</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">n\303\243o aplicar a regra da cadeia propriamente</Font>, e</Text-field>
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<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Pr\303\263ximo Cap\303\255tulo</Font></Text-field></Title>
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