Assignment:
Find the parametric equations for the path of a particle that moves along the circle
x^2 + (y-1)^2 = 4
as follows:
(a) Once around clockwise, starting at (2,1);
(b) Three times around counterclockwise, starting at (2,1);
(c) Halfway around counterclockwise, starting at (0,3).
Provide complete and step by step solution for the question and show calculations and use formulas.