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anonymous
 5 years ago
a particle moves along the xaxis so that its velocity at time t, for 0 ≤ t ≤ 6, is given by the differentiable function,
the velocity is zero at t=0 and t=3, and t=5 and the graph has horizontal tangents at t=1, and t=4
the area of the region bounded by the taxis and the graph of x on the intervals [0,3], [3,5] & [5,6] are 8, 3, and 2. respectively. at time t=0, the particle is at x = 2
a. for 0≤ t≤ 6, find both the time and the position of the particle when the particle is further to the left. justify your answer.
b. for how many values of t, where 0 ≤t ≤6, is the particle at x = 8? exp
anonymous
 5 years ago
a particle moves along the xaxis so that its velocity at time t, for 0 ≤ t ≤ 6, is given by the differentiable function, the velocity is zero at t=0 and t=3, and t=5 and the graph has horizontal tangents at t=1, and t=4 the area of the region bounded by the taxis and the graph of x on the intervals [0,3], [3,5] & [5,6] are 8, 3, and 2. respectively. at time t=0, the particle is at x = 2 a. for 0≤ t≤ 6, find both the time and the position of the particle when the particle is further to the left. justify your answer. b. for how many values of t, where 0 ≤t ≤6, is the particle at x = 8? exp

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