Question: 13. A partide moves along the x-axis so that its velocity at time t. for 0 s t. $ 6, is given by the differentiable

13. A partide moves along the x-axis so that its velocity at time t. for 0 s t. $ 6, is given by the differentiable function , whose graph is shown. The graph has horizontal tangents att = 1, t = 4. The areas of the regions bounded by the taxis and the graph of v on the intervals (0.3].(3,5], and (S.6] are 8. 3, and 2, respectively. At time t = 0, the particle is at x m -2. For 0 S : $ 6, find both the time and the position of the particle when the particle is farthest to the left, justify. x(3) = - 2+ SUCH)+= -10 * (61=-2+ 5 ultid+ = -1 * ( 3 ) = - 10 b. For how many values of t, where O S t S 6, is the particle at x = -87 Explain your reasoning IVT 3 values where x (H) = - 8 Graph of v C. On the interval 2
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