Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (4, 1). 0 ≤ t ≤ 2π. (b) Two times around counterclockwise, starting at (4, 1). 0 ≤ t ≤ 4π. (c) Halfway around counterclockwise, starting at (0, 5). 0 ≤ t ≤ π.