Let (mathcal{W}) be the region between the sphere of radius 4 and the cube of side 1,

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Let \(\mathcal{W}\) be the region between the sphere of radius 4 and the cube of side 1, both centered at the origin. What is the flux through the boundary \(\mathcal{S}=\partial \mathcal{W}\) of a vector field \(\mathbf{F}\) whose divergence has the constant value \(\operatorname{div}(\mathbf{F})=-4\) ?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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