Math  /  Calculus

Question Find the interval(s) where s(t)=t33+7t226t+2s(t) = -\frac{t^{3}}{3} + \frac{7t^{2}}{2} - 6t + 2 describes a slowing hummingbird, where t0t \geq 0 is time in seconds and ss is position in yards.

Studdy Solution
From the above analysis, the hummingbird is slowing down on the intervals [0,][0,] and (72,6)(\frac{7}{2},6).
So, the answer is [0,](72,6)[0,] \cup (\frac{7}{2},6).

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