Part A:

(5 pts) A lamina occupies a region D. D is bounded below by y = x/E and above by the circle of radius 2, centered at the origin. The density of the lamina at any point is inversely proportional to its distance from the origin. SET UP a double integral in POLAR COORDINATES to nd the mass of the lamina. You do NOT need to evaluate the integral. 12 (5 pts) The density of a thin plate is given by p(rr, y) = 2 and its mass is equal it\"! 1 to 245. The plate is bounded by y = 2, y = 4 and a: = 4. .1: Fill in the following boxes to nd the arrcoordinate of the plate's center of mass. Pay attention to the given order of integration. You do NOT need to evaluate the integral. ED drdy