4. [2/3 Points] DETAILS PREVIOUS ANSWERS SCALCET8 10.1.033. MY NOTES Find parametric equations for the path of a particle that moves along the circle x2 + (y - 1)2 = 4 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t. ) (a) Once around clockwise, starting at (2, 1). 0 S t S 2n. x = 2 cos(t) ,y =1 - 2 sin(t) (b) Three times around counterclockwise, starting at (2, 1). 0 S t S 6n. x = 2 cos(t) ,y = 2 sin (t) + 1 (c) Halfway around counterclockwise, starting at (0, 3). O S t S n. x = 2 cos(t) ,y = 1 + 2 sin(t) X