Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (x^{2}+y^{2}+z^{2}=4,1 leq z leq

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Calculate $\iint_{\mathcal{S}} f(x, y, z) d S$ for the given surface and function.

$x^{2}+y^{2}+z^{2}=4,1 \leq z \leq 2 ; \quad f(x, y, z)=z^{2}\left(x^{2}+y^{2}+z^{2}ight)^{-1}$

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 24, 2024 08:02 AM

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Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (x^{2}+y^{2}+z^{2}=4,1 leq z leq

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solution We use spherical coordinates to parametrize the cap S beginaligned Phitheta p...View the full answer

Calculus

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