Let S be the sphere of radius R centered at the originwith outward orientation and letF
Chapter 20, Problem 51(choose chapter or problem)
Let S be the sphere of radius R centered at the originwith outward orientation and letF = (ax2 + bxz)i + (cy2 + py)j + (qz + rx3)k .(a) Use the Divergence Theorem to express the flux integralS F dA as a triple integral. Then use symmetryand the volume formula for a sphere to evaluatethe triple integral.(b) Check your answer in part (a) by computing the fluxintegral directly.
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