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Consider the integral 2/3 2- -2y (x + 2y)ey-Edx dy. y (a) (5 pts) Graph the domain of integration in the xy-plane. (b) (5 pts)
Consider the integral 2/3 2- -2y (x + 2y)ey-Edx dy. y (a) (5 pts) Graph the domain of integration in the xy-plane. (b) (5 pts) Let u = x+2y, v = y-x and graph the transformed domain G in the uv-plane. (c) (10 pts) Using the change of variables formula, evaluate the integral over G in the uv-plane.
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