Question

In: Advanced Math

1) Give parametrizations of the following circles with the indicated centers C(a, b) and radius R,...

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.

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