Question: For the vector field F(x, y, z) = (y + y sin z) i + (xy? + ze ) j+ (xy+ ey) k, compute the

For the vector field F(x, y, z) = (y + y sin z) i + (xy? + 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 1 1, F . as, where S is the outward-oriented surface illustrated below. Note that S is the boundary of the solid region D which is the portion of the cone 2 = x 2 + y' , 0

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