Calculate (iint_{mathcal{S}}left(x^{2}+y^{2}ight) e^{-z} d S), where (mathcal{S}) is the cylinder with equation (x^{2}+y^{2}=9) for (0 leq z

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Calculate $\iint_{\mathcal{S}}\left(x^{2}+y^{2}ight) e^{-z} d S$, where $\mathcal{S}$ is the cylinder with equation $x^{2}+y^{2}=9$ for $0 \leq z \leq 10$.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 25, 2024 07:00 AM

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Calculate (iint_{mathcal{S}}left(x^{2}+y^{2}ight) e^{-z} d S), where (mathcal{S}) is the cylinder with equation (x^{2}+y^{2}=9) for (0 leq z

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We parametrize the cylinder mathcalS by Phitheta z3 cos theta 3 sin theta z with the parameter domai...View the full answer

Calculus

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