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1. Find the center of mass of a thin plate covering the region enclosed by the parabolas y = 32 - x and y =

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Find the center of mass of a thin plate covering the region enclosed by the parabolas y = 32 - x and y = x , with density p ( x) =x. . . . O A. X = 16, y= 0 OB. X= 0, y= 16 64 O C. X= 0, y = 5 O D. X =0, y=32Use the given transformation to evaluate the integral, where R is the parallelogram bounded by the lines y = 2x + 2, y = 2x + 6, y= - 4x + 8, and y = - 4x + 9. J J (4x + y) dx dy; u= - 2xty, V= 4x+y R . . . O A. 204 17 O B. 3 34 O C. 3 O D. 408

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