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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">CONSTRUINDO GR\303\201FICOS DE EQUA\303\207\303\225ES PARAM\303\211TRICAS</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Introduzindo Equa\303\247\303\265es Param\303\251tricas

Equa\303\247\303\265es Param\303\251tricas s\303\243o utilizadas para construir gr\303\241ficos de equa\303\247\303\265es com tempo superior e para representar curvas que n\303\243o podem ser expressadas como y = f (x) . A id\303\251ia principal da constru\303\247\303\243o de gr\303\241ficos param\303\251tricos \303\251 expressar ambos x e y como fun\303\247\303\265es de uma terceira vari\303\241vel t . A vari\303\241vel t \303\251 denominada par\303\242metro e as equa\303\247\303\265es definindo x e y s\303\243o equa\303\247\303\265es param\303\251tricas. A vari\303\241vel t pode ou n\303\243o representar tempo.

A equa\303\247\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGWC1GOzYkUSIyRidGPi1GRDYtUScmc2RvdDtGJ0Y+RkdGSkZMRk5GUEZSRlQvRldRJjAuMGVtRicvRlpGXG8tRiw2JS1GLzYlUSJ0RidGMkY1LUYjNiVGZW5GMkY1RkBGQ0Y6RmhuRmBvLUZENi1RIitGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZLUY7NiRRIjVGJ0Y+RkMtRi82JVEieEYnRjJGNS1GRDYtUSI9RidGPkZHRkpGTEZORlBGUkZUL0ZXUSwwLjI3Nzc3NzhlbUYnL0ZaRmJwLUY7NiRGQkY+LyUrZXhlY3V0YWJsZUdGSUY+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGWC1GOzYkUSIyRidGPi1GRDYtUScmc2RvdDtGJ0Y+RkdGSkZMRk5GUEZSRlQvRldRJjAuMGVtRicvRlpGXG8tRiw2JS1GLzYlUSJ0RidGMkY1LUYjNiVGZW5GMkY1RkBGQ0Y6RmhuRmBvLUZENi1RIitGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZLUY7NiRRIjVGJ0Y+RkMtRi82JVEieEYnRjJGNS1GRDYtUSI9RidGPkZHRkpGTEZORlBGUkZUL0ZXUSwwLjI3Nzc3NzhlbUYnL0ZaRmJwLUY7NiRGQkY+LyUrZXhlY3V0YWJsZUdGSUY+</Equation><Font encoding="UTF-8"> claramente n\303\243o \303\251 uma fun\303\247\303\243o de x mas preferivelmente \303\251 uma fun\303\247\303\243o de y . Para construir o gr\303\241fico dessa equa\303\247\303\243o, ela pode ser expressada param\303\251tricamente como segue:</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">No gr\303\241fico em S acima, o par\303\242metro t varia de -3 a 10 e sempre se refere como o intervalo t .

Experimente mudar os valores m\303\255nimos e m\303\241ximos de t na linha de comando acima e descreva o que voc\303\252 encontrou.

R: Variando os valores de t , a curva pode ser modificada para aparecer como come\303\247a e parar pela demonstra\303\247\303\243o da \303\272nica parte em s .


Construa o gr\303\241fico da seguinte equa\303\247\303\243o param\303\251trica com t variando de -5 a 7, e descreva a forma descrita pela curva.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Investigando Formas Alternativas de Equa\303\247\303\265es Param\303\251tricas

Considere os gr\303\241ficos de duas diferentes equa\303\247\303\265es parametricamente definidas</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O que voc\303\252 observa sobre os gr\303\241ficos dessas duas equa\303\247\303\265es parametricamente definidas ?</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">R: Os gr\303\241ficos s\303\243o id\303\252nticos.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Construa o gr\303\241fico dos dois pares das seguintes equa\303\247\303\265es param\303\251tricas usando as coordenadas [-0.5,4] e [-4,1] com t variando de - 4 a 3 e descreva o que voc\303\252 encontrou.
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">a) Primeiro gr\303\241fico: 
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O gr\303\241fico \303\251 id\303\252ntico ao gr\303\241fico na parte (a).

Representa\303\247\303\265es Param\303\251tricas de uma curva n\303\243o \303\272nica. L\303\241 est\303\243o infinitamente v\303\241rias Representa\303\247\303\265es Param\303\251tricas de uma dada curva.

Considere o seguinte gr\303\241fico de equa\303\247\303\265es param\303\251tricas.</Font></Text-field>
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