BC Calc III Sample Polar Quiz Name: Calculator allowed. You must show enough work so that I can recreate your results. #1. Set up an integral or integrals that give the area of the region that is inside the inner loop of the graph of r 1 2cos . #2. Set up an integral or integrals that give the area inside one of the petals of r 4cos 2 but outside of the circle r 2 . #3. a. Shade the region that represents the intersection of the regions enclosed by the graphs of r 1 cos and r 4cos , then set up (but do not evaluate) integral(s) to find the area of this region. b. Find the equation of the tangent line (in Cartesian coordinates) to r 1 cos at the point where the two graphs intersect.