(Solved): 3. A position function of a particle that moves along the x-axis is given by x=2t+cos2t,0t ...

3. A position function of a particle that moves along the $x$-axis is given by $x=2?t+\cos 2?t,0?t?5\text{. }$ a) When is the particle moving left and right? b) When is the particle at rest? c) Determine the average rate of changeover the first five seconds. d) Estimate the velocity of the particle for each second over the given interval.