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

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 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 = /2 2 + 3 2, 0 5 2 52 nor that lies in the first octant. utor mbe stio h C PHILIPS

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