Use the Divergence Theorem to compute the surface integral where Q is bounded by z=x^2+y^2 and z=4, F=<x^3, y^3-z, xy^2>. (Answer: 32pi) The divergence of the vector field is 3x^2+3y^2,...

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Use the Divergence Theorem to compute the surface integral where Q is the cube -1<=x<=1, -1<=y<=1, -1<=z<=1, F=<4y^2, 3z-cosx, z^3-x>. (Answer: 8) The divergence of the...

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Use the Divergence Theorem to compute the surface integral where Q is bounded by x+y+2z=2 (first octant) and the coordi-nate planes, F=<2x-y^2, 4xz-2y, xy^3>. (Answer: 0) The divergence...