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15. Let S be the outward oriented surface which consists of the portion of the sphere given by x2 + y2 + z2 = 4

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15. Let S be the outward oriented surface which consists of the portion of the sphere given by x2 + y2 + z2 = 4 between the planes z = -1 and z = 1, as well as the portion of the planes z = 1 and z = -1 which is within the sphere (so the surface is closed). Let F = (x, y, x2) be a vector field. Use the divergence theorem to compute the flux integral SSS F . N ds

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