Calculate (iint_{mathcal{S}} x^{2} z d S), where (mathcal{S}) is the cylinder (including the top and bottom) (x^{2}+y^{2}=4,0

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Calculate $\iint_{\mathcal{S}} x^{2} z d S$, where $\mathcal{S}$ is the cylinder (including the top and bottom) $x^{2}+y^{2}=4,0 \leq z \leq 3$.

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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}} x^{2} z d S), where (mathcal{S}) is the cylinder (including the top and bottom) (x^{2}+y^{2}=4,0

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We calculate the surface integral for each of the three surfaces We begin with the bottom begingathe...View the full answer

Calculus

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