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Vector Calculus - Verify Divergence Theorem

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Hi,

This problem is from a book I have, and has three parts. I have attached both the problem (p23.jpg) and the solution (a23.jpg). I understand in general how the theorem works, but I can't come up with the correct answer no matter what I try. I think I'm not setting up the problem correctly. I'd appreciate someone showing me how to arrive at the solutions. Thanks for your help.

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