Calculate the circulation of F=(x y)i+ x 2 yj+axzk

Chapter 12, Problem 12.91

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Calculate the circulation of F=(x y)i+ x 2 yj+axzk counterclockwise about the circle x 2 + y2 = 1. Here a is any positive number. Hint: Use Stokess theorem with any smooth surface having the circle as boundary.

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