Prove Theorem 2 in the special case that C is the circle in
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Prove Theorem 2 in the special case that C is the circle in the xy-plane with parametrization x D cos , y D sin , .0 2 /
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Prove Theorem 2 in the special case that C is the circle in the xy-plane with parametrization x D cos , y D sin , .0 2 /. In this case NO D k. Hint: Expand F.x; y; z/ in a vector Taylor series about the origin, as in the proof of Theorem 1, and calculate the circulation of individual terms around C .
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