Use the Divergence Theorem to evaluate the flux (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}). (mathbf{F}(x, y, z)=leftlangle x

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Use the Divergence Theorem to evaluate the flux \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\).

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\(\mathbf{F}(x, y, z)=\left\langle x y^{2}, y z^{2}, z x^{2}ightangle, \mathcal{S}\) is the boundary of the cylinder given by \(x^{2}+y^{2} \leq 4,0 \leq z \leq 3\).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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