Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=leftlangle 0,0, z^{2}ightangle, quad Phi(u, v)=(u

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Compute $\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}$ for the given oriented surface.

$\mathbf{F}=\left\langle 0,0, z^{2}ightangle, \quad \Phi(u, v)=(u \cos v, u \sin v, v), 0 \leq u \leq 1,0 \leq v \leq 2 \pi, \quad$ upward-pointing normal

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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 08:01 AM

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Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=leftlangle 0,0, z^{2}ightangle, quad Phi(u, v)=(u

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For this parametrization it holds that see Example 3 in Section 174 mathbfTu ti...View the full answer

Calculus

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