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Please provide detailed answers to the questions listed below.

This Question is **CALCULATOR ACTIVE** For t2 0, a particle moves along the X-axis. The velocity of the particle at time t is given by v(t) = 1 tan\"(2t). The particle is at position x = 4 at time 2': 0. (a) For t= 3 , what is the acceleration of the particle? (b) For t= 3 , is the speed of the particle increasing or decreasing? Give a reason for your answer. (c) For t2 0, find the time when the particle is farthest to the right. Justify your answer. (d) Find the position of the particle at time t= 3 . Is the particle moving toward the origin or away from the origin at t= 3 ? Justify your