Use the Divergence Theorem to evaluate the flux (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}). (mathbf{F}(x, y, z)=leftlangle 0,0,
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Use the Divergence Theorem to evaluate the flux \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\).
\(\mathbf{F}(x, y, z)=\left\langle 0,0, z^{3} / 3ightangle, \mathcal{S}\) is the sphere \(x^{2}+y^{2}+z^{2}=1\).
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