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Maximum Horizontal Position of a Particle

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The position of a particle is given by the parametric equations x(t)=2cos⁡(t)+1x(t) = 2\cos(t) + 1 and y(t)=3sin⁡(t)−2y(t) = 3\sin(t) - 2. What are the coordinates of the particle at its maximum horizontal position?

A

(3,1)(3, 1)

B

(2,−2)(2, -2)

C

(3,−2)(3, -2)

D

(1,1)(1, 1)

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