Use the divergence theorem to evaluate the flow integral ∫_{S}{vec{F}• dS} where F=2
Question: Use the divergence theorem to evaluate the flow integral
\[\iint\limits_{S}{\vec{F}\cdot d\vec{S}}\]where \(F=2z\mathbf{i}+x\mathbf{j}+{{y}^{2}}\mathbf{k}\), and S is the surface of the region bounded by \(z=4-{{x}^{2}}-{{y}^{2}}\) and the xy-plane.
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Solution Format: Word Document
Solution Format: Word Document
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