Find parametric equations for the path of a particle that moves along the circle x2 + (y - 1)2 = 9 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 (3, 1). 0 ≤ t ≤ 2π.
(b) Three times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 6π.
(c) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.