Find parametric equations for the path of a particle that moves along the circle x 2 + (y − 1) 2 = 4 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be...


Find parametric equations for the path of a particle that moves along the circle


x2 + (y − 1)2 = 4

 in the manner described. (Enter your answer as a comma-separated list of equations. Letx andy be in terms oft.)


(a) Once around clockwise, starting at (2, 1).
0 ≤ t ≤ 2?.

(b) Four times around counterclockwise, starting at (2, 1).
0 ≤ t ≤ 8?.

(c) Halfway around counterclockwise, starting at (0, 3).
0 ≤ t ≤ ?.





Jun 05, 2022
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