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12. (2 credit Use the Divergence Theorem to compute the outward flux of the vector field F(x, y, z) = (x3 - sin (yz), y3

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12. (2 credit Use the Divergence Theorem to compute the outward flux of the vector field F(x, y, z) = (x3 - sin (yz), y3 + sec (x - 2z)2, 23 + 7 tan(e-xy) ) through the closed surface of the upper unit hemisphere z = V1 -x2 -y2, together with the plane z = Hint: In case you are panicking, the derivative of sec (x) is sec (x) tan (x). But, you shouldn't need this if you approaching the problem correctly...)

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