1. Suppose the position (r, y) of a particle at time t is given by the parametric equations x(t) = 2sin (t), Osts 3n/2. ly(t) = 4 + cos (t), (a) Eliminate the parameter & to find a Cartesian equation for the path traced by the particle. (b) Draw a graph to depict the motion of the particle for 0 S t $ 37/2. On your graph, mark the start and end points and the direction of motion of the particle