Find the center of mass of a thin plate of constant density covering the given region. 2) The region bounded by y = 6 - x and the axes 2) A ) x - 2, y - 2 B) x = 36, y = 36 C) x = 18. y = 18 D) X - by =6 Find the center of mass of a thin plate covering the given region with the given density function. 3) The region bounded below by the parabola y = x2 and above by the line y = x + 2, with density 3) o(x) - 8x2 A) x - 18 y 531 B) X - 2, y - 131 c) x - By- 118 70 64 D) X 531 7 18 49 70 5Use the given transformation to evaluate the integral. 9) u = x + y, v= -2x + y: 9) SS 3x dx dy, R where R is the parallelogram bounded by the lines y = -x + 1, y = -x + 4, y = 2x + 2, y = 2x + 5 A) -3 B) 6 C) 3 D) -6 10) u = x + y, V = -2x + y; 10) S Say dx dy. R where R is the parallelogram bounded by the lines y = -x + 1, y = -x + 4, y = 2x + 2, y = 2x + 5 A) 17 B) 26 C) 34 D) 13