Please answer in detail

14. [14 pts] Curve I on the ry-plane is defined by the polar equation r = 1 - 3 cos whose graph is given below. (a) Consider polar Curve II defined by the polar equation r = 3 + cos(20). Fill in the exact radial coordinates of some points on this curve in the following table, and then sketch Curve II together with Curve I in the given figure. [6 pts] r = 3 + cos (20) 0 7 /4 TT /2 37 /4 TT 4- 3 -71 /4 -TT/2 -37 /4 - IT 2 -4 -3 -2 -1 1 2 4 -1 -2 Curve I -3 -4 (Plot Curve II in this plane.) _5 (b) Find the area of the region which lies inside Curve II, but does not overlap with any part of the region enclosed by Curve I. [8 pts]