Let D be a lamina (a thin plate) occupying the region in thexy-plane that is in the first quadrant, between the circles ofradius 1 and 4 centered at the origin. Assume D has constantdensity which you may take as a unit value. Complete these tasks:1. Draw a graph of D. 2. Compute the mass of D (which will be thesame as the area because the density is equal to one). 3. Identifya line of symmetry in D which will help with Step 4, below. 4.Compute the center of mass of D. I recommend that you use polarcoordinates. 5. Go back to your graph of D and plot the location ofthe center of mass you just found.
