[Solution] Temperature During a certain summer thunderstorm, the temperature drops and then rises again. The rate of change of the temperature during the


Question: Temperature During a certain summer thunderstorm, the temperature drops and then rises again. The rate of change of the temperature during the hour and a half after the storm began is given by \(T(h)=9.48 h^{3}-15.49 h^{2}+17.38 h-9.87^{\circ} \mathrm{F}\) per hour

where \(h\) is the number of hours since the storm began.

  1. Calculate the average rate of change of temperature from 0 to $1.5$ hours after the storm began.
  2. If the temperature was \(85^{\circ} \mathrm{F}\) at the time the storm began, find the average temperature during the first $1.5$ hours of the storm.

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