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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\(\mathbf{F}(x, y, z)=\left\langle x y, y z, x^{2} z+z^{2}ightangle, \mathcal{S}\) is the boundary of the box \([0,1] \times[2,4] \times[1,5]\).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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