Let F= (x, y², 2²). (a.) Let E be bounded below by xy-plane and above by the sphere x² + y2 + 2² = 1. Find the flux of Ethrough E by direct calculation. Notice the boundary of E consists of the spherical shell as well as the downward oriented unit-disk on the xy-plane. (b.) Calculate the flux of F through E using the Divergence Theorem.

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