Use the Divergence Theorem to calculate (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given vector field and

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Use the Divergence Theorem to calculate \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given vector field and surface.

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\(\mathbf{F}(x, y, z)=\left\langle\sin (y z), \sqrt{x^{2}+z^{4}}, x \cos (x-y)ightangle, \mathcal{S}\) is any smooth closed surface that is the boundary of a region in \(\mathbf{R}^{3}\).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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