35. Evaluate JJR(Ity+ 2) drdy over the region R below. Figure 1: Region R 36. Find the volume of the solid that lies above the cone z = vx2 + y and below x2 + y2 + 2 2 = 2. 37. Compute 38. Find the area of the region bounded by the curves r = cos0 and r = sin 0. 39. Find the volume of the solid region E between y = 4-x2 - 22 and y = 22+ 22. 40. Evaluate SJJE zdV where E is the portion of the solid sphere a2 +y + 2 9 that is inside the cylinder x2 + y? = 1 and above the cone a2 + y2 = 22. 41. Evaluate the integral SJR COS ( xty) "-4 ) dady, where R is the triangular region with vertices (0, 0), (1, 0), (0, 1). (Keep the exact answer. Do NOT round your answer. ) 42. Evaluate the volume of D where D is the solid right cylinder whose base is the region between the circles r = cos 0 and r = 2 cos 0 and whose top lies in the plane z = 3 - y. S 43. Find the volume of the solid bounded by the hyperboloid z? = a2 + 22 + y? and the cone z = V2(a2 + y? )