Question: a. (15 points). Use the Divergence Theorem to calculate the flux of F across S. Please write your final answer as a simplified fraction, using

a. (15 points). Use the Divergence Theorem to calculate the flux of F across S. Please write your final answer as a simplified fraction, using it as needed. F(x, y, z) = (x3 + y3) i+ (y3 + 23) j+ (23+ x3) k. S is the sphere centered at the origin with radius 2. b. (5 points). Explain why the sign of your answer to part (a) makes sense, given this plot of the vector field F(x, y, z) = (x3 + y3) it (13 + 23) j+ (23 + x3) k and the surface S

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