Question: solve this question For the vector field F(x, y, 2) = (xz + ye ) i + (-2yz + ze) j + (xy+ ey) k,

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For the vector field F(x, y, 2) = (xz + ye" ) i + (-2yz + ze") j + (xy+ ey) k, compute the divergence of F, i.e. compute div F . Then, using the divergence theorem, compute the surface (flux) integral I E . as , where S is the closed, upper-hemisphere, with outward orientation illustrated below. Note that S consists of the upper-hemisphere x2 + + 2? = 1, z20, and the disk 12 +y

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