Pa 10. Find the area of the following regions. The region inside the lemniscate r = 42 cos 20 and outside the circle r = 21 The area inside the lemniscate and outside the circle is square units. (Type an exact answer, using it as needed.) 11. Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points. r = 4 sin 0 and r = 4 cos 0 Select the correct answer below, and if necessary, fill in the answer box to complete your choice. Type an ordered pair. Type exact answers for each coordinate, using it as needed. Type the coordinate for 0 in radians between 0 and it. Use a comma to separate answers as needed.) O A. The intersection points consist of the pole and O B. There are no intersection points O c. The intersection points do not consist of the pole, but the points 2. a. Find all intersection points of the following curves. b. Find the area of the entire region that lies within both curves. r = 21 sin 0 and r = 21 cos 0 a. Identify all of intersection points. Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using it as needed.) b. The area of the region that lies within both curves is square units. (Type an exact answer, using it as needed. 13. a. Find all the intersection points of the following curves. b. Find the area of the entire region that lies within both curves. r= 22 + 22 sin 0 and r = 22 + 22 cos 0 a. Identify all of intersection points. Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using it as needed.) b. The area of the entire region that lies within both curves is square units. (Type an exact answer.)8. Find the area of the following region. The region outside the circle r = 3 and inside the circle r= - 6 cos 0 The area of the region is square units. (Type an exact answer.) 9. Find the area of the following region. The region inside the curve r= 124 cos 0 and inside the circle r = 1 12 in the first quadrant The area of the region is square units. (Type an exact answer.)