Calculus BC Free Response 2017 FRQ 2

In 2017 FRQ 2, we are given a polar graph and have to determine where a line would divide into equal area, what the average value of the function is, and where the function is increasing or decreasing.

[marsrover]

for part B its R^2-r^2 which translates to g^2(theta) - f^2(theta) rather than f^2(theta) - g^2(theta).