In: Advanced Math
1) Give parametrizations of the following circles with the indicated centers C(a, b) and radius R, and any other indicated properties.
a) C(1, 1), R = 2, traversed once counter clockwise.
b) C(1, 1), R = 2, traversed once clockwise.
c) C(0, 0), R = 1, starts at (0, 1).
d) C(0, 0), R = 1, starts at (−1, 0), traversed once
clockwise.
e) C(0, 0), R = 1, traverses the circle twice on the domain 0 ≤ t ≤
1.