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Intro to Extrema
6. Graphical Applications of Derivatives / Intro to Extrema / Problem 5
Problem 5

A farmer is monitoring the growth of a crop over a 120120-day period. The height of the crop in centimeters is given by the function h(t)={95t2, if 0t<6095(t2240t+120),if 60t<120h(t)=\(\begin{cases}\]\frac\)95t^2,\(\text{ if }\)0\(\le\) t<60\\ -\(\frac\)95\(\left\)(t^2-240t+120\(\right\)),\(\text{if }\)60\(\le\) t<120\(\end{cases}\) , where tt is the time in days since initially planting their crops. When is the growth rate of the crop at a maximum?