Question: answer this question, in detail For the vector field F(x, y, z) = (xz + ye ) i + (-2yz + ze) 3+ (xy+ ey)

 answer this question, in detail For the vector field F(x, y,

answer this question, in detail

z) = (xz + ye" ) i + (-2yz + ze") 3+

For the vector field F(x, y, z) = (xz + ye" ) i + (-2yz + ze") 3+ (xy+ ey) k, compute the divergence of F , i.e. compute div F . Then, using the divergence theorem, compute the surface (flux) integral 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 x2 + y

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