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Problem 2 (18 pts) Let R be the semi-circular region in the xy-plane bounded from the left by the y -axis and from the right

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Problem 2 (18 pts) Let R be the semi-circular region in the xy-plane bounded from the left by the y -axis and from the right by the circle x +y=4. Let C be the curve bounding this region. Use Green's theorem to find the counterclockwise circulation and outward flux of the vector field 2 F = xy+xi- xy j around and across C

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