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Find parametric equations for the path of a particle that moves along the circle x2 + (y 1)2 = 4 in the manner described. (Enter

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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. Let X and y be in terms of t.) (a) Once around clockwise, starting at (2, 1). O s t 5 2n. x: 2cos(f).y: 1 2sin(r) J (b) Two times around counterclockwise, starting at (2, 1). O S t 5 4n. x: 2cos(t).y: 2sin(l) + 1 (c) Halfway around counterclockwise, starting at (0, 3). 0 S t S 71'. X

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