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Integral - Length of the arc https://forumdematematica.org/viewtopic.php?f=10&t=12577	Página 1 de 1

Autor:	provasanteriores [ 09 abr 2017, 23:01 ]
Título da Pergunta:	Integral - Length of the arc
Let r be a positive constant. Consider the cylinder \(x^2 + y^2 \leq r^2\), and let C be the part of the cylinder that satisfies \(0 \leq z \leq y .\) Let a be the length of the arc along the base circle of C from the point (r,0,0) to the point \(( rcos \theta, rsin \theta, 0) 0 \leq \theta \leq \pi .\) Let b be the length of the line segment from the point \(( rcos \theta, rsin \theta, 0) to the point (rcos \theta, rsin \theta, rsin \theta).\)Express a and b in terms of r, \theta. .

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