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) Let S be the surface (with outward orientation) given by the boundary of the solid...

) Let S be the surface (with outward orientation) given by the boundary of the solid hemisphere x 2 + y 2 + z 2 ≤ 4 with z ≥ 0 (i.e., including the disk x 2 + y 2 ≤ 4). Use the Divergence Theorem to compute the flux of the vector field F = xyj + 2yzk over the surface S.

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