Question: Consider the vector field F : R 2 R 2 , F(x, y) = (y, x). Compute R C F(~x) d where C is the

Consider the vector field F : R 2 R 2 , F(x, y) = (y, x). Compute R C F(~x) d where C is the oriented curve with polar parametrization r() = 2(1 + cos ) for h 2 , 2 i , a segment of a cardioid.

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