Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x"( is its acceleration. x(t) = t3 - 12t2 + 21t - 3, osts 10 (a) Find the velocity and acceleration of the particle. x'(t) = x"(t) = (b) Find the open t-intervals on which the particle is moving to the right. (Enter your answer using interval notation.) (c) Find the velocity of the particle when the acceleration is 0.

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