3. Use Green's Theorem to prove the change of variables formula for a double integral in the special case that f = 1, i.e. show SSR dx dy = a(x,y) (u, v) du dv. = Here R is the region in the xy-plane that corresponds to the region S in the uv-plane under the transformation x = g(u,v), y h(u, v). Hint: the left side is A(R) which can be expressed as fx dy. Then you can change coordinates by plugging in what you know about x and y.

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