A lamina with a mass density of o(x, y) = 6y occupies the region D enclosed between y = x, y = -x, and y = V9 -x2. (a) [4 pts] Sketch the region D in the xy-plane. Shade the region D and label key information. (b) [5 pts] Set up an integral which calculates the total mass of the lamina. (c) [5 pts+1pt] Fully evaluate your expression in (b) to find the total mass of the lamina. (1pt: Identify the correct answer below.) (d) [5 pts] Set up expressions which calculate the center of mass of the lamina. Do not evaluate these expressions. (Your expressions should use the specific quantities (bounds, integrand, etc) for this problem.) The mass of the lamina (computed in part (c)) is: O 7.07 None of these O 2061.92 O 42.41 O 190.85 O 0.00 O 76.37