Let F = (x, y², z²). (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 É 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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