Need help we practice problem ! Thank you

3. Suppose that a lamina occupies the region I) in the xy-planc that is bounded by the semicircles given by y 2 V4 x2 and y = V] x:Z together with the portions of the x-axis that join the semicircles. Moreover, suppose that the lamina has density function: 1 p(x, y) = -2\\/_-_-2 (assume the units on density are kg/m2 ). x + y (g) Carefully sketch a picture of the region D in the xyplane. (b) Find the exact mass of the lamina. Hint: work in polar. (c) Find the exact coordinates of the center of mass of the lamina. Hint: work in polar