Mat1162   2016.2 - Provas - Maple
50 pág.

Mat1162 2016.2 - Provas - Maple


DisciplinaCálculo II22.290 materiais679.743 seguidores
Pré-visualização50 páginas
Exerc\303\255cio 1:

 Determine via desigualdades a regi\303\243o limitada e fechada do plano cuja fronteira \303\251 a elipse dada.

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 print( ); # input placeholder

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Obs.: Lembre que uma regi\303\243o \303\251 a uni\303\243o de um aberto n\303\243o vazio (chamado "interior da regi\303\243o") com sua fronteira. Por exemplo, um disco fechado \303\251 uma regi\303\243o cuja fronteira \303\251 um c\303\255rculo e cujo interior \303\251 o disco aberto. Mas um c\303\255rculo n\303\243o \303\251 uma regi\303\243o, pois seu interior \303\251 vazio, ou seja, o c\303\255rculo n\303\243o cont\303\251m nenhum ponto interior.

 Exerc\303\255cio 2:

 No papel (ou seja, sem ajuda do Maple), desenhe a regi\303\243o descrita no exerc\303\255cio 1.

 Obs.: A fronteira deve ser desenhada com uma linha cont\303\255nua, e o interior deve ser hachurado.

 Exerc\303\255cio 3:

 No papel, indique o interior da regi\303\243o descrita no exerc\303\255cio 1, pontilhando-o. Ao lado, fa\303\247a o mesmo para o exterior da regi\303\243o.

 Exerc\303\255cio 4:

 Escreva a fronteira da regi\303\243o (ou seja a elipse dada) como uma uni\303\243o de dois gr\303\241ficos da forma

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 Exerc\303\255cio 5:

 Escreva a fronteira da regi\303\243o (ou seja a elipse dada) como uma uni\303\243o de dois gr\303\241ficos da forma

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 Exerc\303\255cio 6:

 Expresse a regi\303\243o acima na forma do conjunto

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 Exerc\303\255cio 7:

 Repita os exerc\303\255cios acima considerando agora a regi\303\243o definida pelas curvas abaixo:

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 print( ); # input placeholder

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