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Inequalitieshard
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A particle moves on the x-axis with position s(t)=13t3−2t2+3ts(t) = \frac{1}{3}t^3 - 2t^2 + 3ts(t)=31​t3−2t2+3t. For what time intervals t>0t > 0t>0 is the velocity v(t)=s′(t)>0v(t) = s'(t) > 0v(t)=s′(t)>0?