SLO E. Find the curl and the divergence of a vector field; evaluate line and surface integrals; and apply Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. Explain why you are allowed use the Divergence theorem F - sin yi + xzj + 4zk ; D: the thick sphere 4 s x2 + y2 + z? = 9