Question: Let C be a simple closed curve which encloses a region D in the ry-plane. Use Green's Theorem to show that for the fields a)

Let C be a simple closed curve which encloses a region

Let C be a simple closed curve which encloses a region D in the ry-plane. Use Green's Theorem to show that for the fields a) F = xj and b) F = -yi, F . dF = A(D), where A(D) is the area of the region D. Come up with one additional planar vector field F for which this is also true (and justify your response)

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