2. In Questions 2 and 3 we consider the the path P of the parametric curve r : R - R2 defined by r(t) = 2 cos(t) sin (t)i + sin(t)j so P = range(r) and the set C = {(x, y) ER? | x2 + 4y = 4y4 }. In Assignment 1, you proved that P C C. Here we use the approach of Question 2 of Practice class 9 (which you should review) to prove that C C P, completing the proof that P = C. (a) Find the x intercept of C (there is only one) and explain why it is in P.(b) Assuming y 7E U, rearrange the equation for 0 into the form U2 + y2 = 1 where u is expressed in terms of 2: and 3;. You should give a formula for u. (c) In (b), you showed that (u, y) is in the unit circle. Use this to complete the proof that C Q P