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Find parametric equations for the path of a particle that moves along the circle x2 + (y - 3)2 = 16 in the manner described.

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Find parametric equations for the path of a particle that moves along the circle x2 + (y - 3)2 = 16 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 (4, 3). 0 S t s 2n. -1.2,1.6 X (b) Three times around counterclockwise, starting at (4, 3). 0 s t s 6x. 3 X (c) Halfway around counterclockwise, starting at (0, 7). 0 S t S n. 4 X

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