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Consider the inward fluxRRS(F·n)dS of the vector field F = y2i + xz3j + z2k where...

Consider the inward fluxRRS(F·n)dS of the vector field F = y2i + xz3j + z2k where S is the surface of the region D bounded by the cylinder x2 + y2 = 16 and the planes z = 1, z = 5, x = √3y, y = 0, x,y ≥ 0.

a. [2] Compute the divergence of the vector field F at the point (1,1,−1).

b. [7] Transform the surface integral into the triple integral using the divergence theorem and evaluate.

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