Evaluate the flux integral where S is the surface given by and [[F F.S 2 = x + y, 0? ? 4, oriented upwards F(x, y, z)= xi+yj + 3k (Hint: There are two ways to do this problem. You may compute the flux integral directly, or you may use the divergence theorem. If you do use the divergence theorem be careful, because S is not a closed surface,

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Evaluate the flux integral where S is the surface given by and [[F F.S 2 = x + y, 0? ? 4, oriented upwards F(x, y, z)= xi+yj + 3k (Hint: There are two ways to do this problem. You may compute the flux integral directly, or you may use the divergence theorem. If you do use the divergence theorem be careful, because S is not a closed surface, and you must take that into account.)

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