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The function s(t) describes the motion of a particle along a line. s(t) = t - 8t + 5t - 210 (a) Find the velocity

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The function s(t) describes the motion of a particle along a line. s(t) = t - 8t + 5t - 210 (a) Find the velocity function v(t) of the particle at any time t 2 0. v(t)=3-16t+5 (b) Identify the time interval(s) on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.) X (d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.) t= Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which fis decreasing. (Ent your answers using interval notation.) y 2 10 (a) Find the largest open interval(s) on which is increasing. (If two open intervals are equally large enter your answer as a comma-separated list of intervals.) x (b) Find the largest open interval(s) on which f is decreasing. (If two open intervals are equally large enter your answer as a comma-separated list of intervals.) 10 8 6

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