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Inequalitieshard
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A particle moves on a line such that its position s(t)s(t)s(t) satisfies s(t)=t3−6t2+9ts(t) = t^3 - 6t^2 + 9ts(t)=t3−6t2+9t. For what time intervals t≥0t \geq 0t≥0 is the velocity v(t)=s′(t)v(t) = s'(t)v(t)=s′(t) strictly decreasing?