Question 4 (7 points) For the vector field F(x, y, z) = ( xz + ye )
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Question 4 (7 points) For the vector field F(x, y, z) = ( xz + ye" ) i + ( - 2yz + ze") j + (xy + ey) k, compute the divergence of i.e. compute div F . Then, using the divergence theorem, compute the surface (flux) integralThen, using the divergence theorem, compute the surface (flux) integral ff-d, S where S is the closed, upper-hemisphere, with outward orientation illustrated below. Note that 5 consists of the upperhemisphere $2+y2+22:1,z20, and the disk m2+y21,z:0. \f