Consider the curves • C₁ which is the graph of the polar equation r = 3+3 cos(0), and • C2 which is the graph of the polar equation r = 9 cos(0) Answer the following parts in the space below part (iv) (attach additional page if more space is needed). (i) Sketch both C1 and C2 on the same coordinate system. (ii) (iii) (iv) Determine the points of intersection of the two curves. Give your answers in polar coordinates. Let R be the region of points that are enclosed by C₁ but not enclosed by C2. Find the area of the region R. Determine the length of the curve C₁.