Let R be the region bounded by the curves: and Verify Green's Theorem in the plane for: Umm... not sure if I was supposed to end up here.
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Would this make more sense: or just:
Originally Posted by MathSucker Let R be the region bounded by the curves: and Verify Green's Theorem in the plane for: Umm... not sure if I was supposed to end up here. You are right ! since the path is closed , the line integral the region is Consider But we know the y-coordinate of the center of mass of the region is zero so the integral is zero too !
When these questions ask you to "verify green's theorem." Is it enough to just run the two equations through and say "the answer is zero." Or does it require some kind of explanation?
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