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[7.5.2] Use the divergence theorem to compute the flux integral F . ndS, where no is the outward pointing unit normal vector field to the
[7.5.2] Use the divergence theorem to compute the flux integral F . ndS, where no is the outward pointing unit normal vector field to the surface S, which is the surface of the solid bounded by the paraboloid z = 4 - a2. y2 and the cy-plane. Here F = (13, 5xz2, 3yz). Let E be the solid enclosed by S so that OE = S. We want to do If, Finds - ffor F.as = Ill, v . Fav. By applying the Divergence Theorem, we are just setting up a classic triple integral (not a line or surface integral). (1) Describe the solid region E with cylindrical coordinates. (2) Compute V . F and convert the result to cylindrical coordinates. (3) Evaluate the triple integral INv . Fav in cylindrical coordinates
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