Question: For the vector field F(x, y, z) = (y + y sin z) i+ (xy2 + ze) j+ (xytey) k compute the divergence of F

For the vector field F(x, y, z) = (y + y sin z)
For the vector field F(x, y, z) = (y + y sin z) i+ (xy2 + ze") j+ (xytey) k compute the divergence of F , i.e. compute div F . Then, using the divergence theorem, compute the surface (flux) integral F . ds , S 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 z = Vaz +y, 0

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