Question 1 (8 points) Below are different parametrizations of the same el- lipse. C1 : x(t) = 2cost, y(t) = 4sint C2 : x(t) = 2sin(nt), y(t) = 4 cos(it) (a) (2pts) Eliminate the parameter t for both parametrizations and write down the equation of the ellipse in terms of r and y only. (b) (6pts) For each parametrization, sketch the ellipse, find the starting point when t = 0, and describe the differences in motion.Question 2 (3 points) Sketch the set of points (r, 0) that satisfy the following conditions: { (r, 0) : - 3 5 r