A lamina occupies the part of the disk x2 + y2 < 1 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis. 11. Let D be the region in the first quadrant below the parabola with equation y = 3 - and outside the square with vertices (0,0), (1.0), (1,1) and (0,1). Evaluate the integral ff x - 2ydA.