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The curve C1 is the circle in R 2 of radius 2 centered at the origin,...

The curve C1 is the circle in R 2 of radius 2 centered at the origin, directed counterclockwise; the curve C2 is the hexagon in R 2 with vertices (4, −4), (4, 4), (0, 6), (−4, 4), (−4, −4), (0, −6), directed counterclockwise; and F(x, y) = (y/(x^2 + y^2))i − (x/(x^2+y^2))j. (a) Evaluate R C1 F · dr. (b) Evaluate R C2 F · dr.

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