(a) Determine the area which lies inside the polar curve r = 5 + cos() but outside the polar curve r = 3 + cos().

(b) Calculate the area of the loop in the curve (x, y) = ( (3 t)^2 , (2t)^3 8t ) Be sure to use one of the two approaches for parametric loops we covered in the lessons from "Area with parametric curves" "Area of parametric Loops" or Hint's Green's Theorem.