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P1. Use the divergence (Gauss) theorem to find the value of ?SF?n? dS, where F (x, y, z) = (x, y, 2z), and S is
P1. Use the divergence (Gauss) theorem to find the value of ?SF?n? dS, where F (x, y, z) = (x, y, 2z), and S is the portion of the paraboloid z = 4?2x2 ?2y2 that lies above the z = 2 plane.The surface is oriented with a unit normal vector n? such that n? ? (0,0,1)> 0.
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