Inequalitieshard
0:00.0

A particle moves on a line such that its position s(t)s(t) satisfies s(t)=t36t2+9ts(t) = t^3 - 6t^2 + 9t. For what time intervals t0t \geq 0 is the velocity v(t)=s(t)v(t) = s'(t) strictly decreasing?