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Please approach it WITHOUT using the divergence (Gauss) theorem. Let S be the portion of the sphere x2 + y2 + 22 = 25 in

Please approach it WITHOUT using the divergence (Gauss) theorem.

Let S be the portion of the sphere x2 + y2 + 22 = 25 in the first octant, oriented away from the origin. Find the flux of F = (xz, yz, z") across the surface S

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