3 (10 pts) (a) Describe the Divergence Theorem (b) Let F xy i' xy (x y)z k and let S be the surface bounding the solid cylinder E defined by x y 4, and 0 z 1 Assume that the surface S is oriented outward, evaluate 7 13 Hint Use the divergence Theorem first, then find the projection of the solid cylinder on xy plane Directly solving the surface integral is very difficulty

Question: 3. (10 pts) (a) Describe the Divergence Theorem. (b) Let F = xy i' + xy ] + (x + y)z k and let

3. (10 pts) (a) Describe the Divergence Theorem. (b) Let F = xy i' + xy ] + (x + y)z k and let S be the surface bounding the solid cylinder E defined by x + y

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