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OpenStudy (anonymous):
Two particles move according to x1 = A + Bt^2 and x2 = Dt^3, t ≥ 0 , where A, B, and D are positive constants. At t = 0 the particles are a distance A apart, and as t increases they move apart, but there is a time t > 0 at which the particles are as close as they will be ever again; in other words, |x1 − x2| is as small as it will get. What is this smallest value of |x1 − x2| for t > 0?
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