Find parametric equations for the path of a particle

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Find parametric equations for the path of a particle that moves along the circle x2 + (y - 1)2 = 9 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 (3, 1).  0 ≤ t ≤ 2π.

(b) Three times around counterclockwise, starting at (3, 1).  0 ≤ t ≤ 6π.

(c) Halfway around counterclockwise, starting at (0, 4).  0 ≤ t ≤ π.

Reference no: EM131019154

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