Find the volume of a region (mathcal{W}) if [ iint_{partial mathcal{W}}leftlangle x+x y+z, x+3 y-frac{1}{2} y^{2}, 4

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Find the volume of a region $\mathcal{W}$ if
\[
\iint_{\partial \mathcal{W}}\left\langle x+x y+z, x+3 y-\frac{1}{2} y^{2}, 4 zightangle \cdot d \mathbf{S}=16
\]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:02 AM

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Find the volume of a region (mathcal{W}) if [ iint_{partial mathcal{W}}leftlangle x+x y+z, x+3 y-frac{1}{2} y^{2}, 4

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The volume of the region mathcalW can be found using the divergence theorem The divergence theore...View the full answer

Calculus

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