with detailed solution

3. Let R be the region below bounded by y' + x2 = 9 and (y - 2)' +x = 1. (a) Set up a (sum of) definite integral(s) with (0,3) respect to a that is equal to the area of R. (3 points) (1,2) (b) Set up a definite integral that is equal to the arc length of the portion of the circle (y-2) +x = 1 which serves as a boundary of R. (2 points) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of (-3,0) the solid generated when R is revolved about the line x = -3. (4 points)