Use the Divergence Theorem to evaluate the flux (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}). (mathbf{F}(x, y, z)=langle x+y,
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Use the Divergence Theorem to evaluate the flux \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\).
\(\mathbf{F}(x, y, z)=\langle x+y, z, z-xangle, \mathcal{S}\) is the boundary of the region between the paraboloid \(z=9-x^{2}-y^{2}\) and the \(x y\)-plane.
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The Divergence Theorem states that the surface integral of a vector field mathbfF over a closed surface S is equal to the volume integral over W the r...View the full answer
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