Chapter 8.3, Problem 87E

(a)

To determine

The model $H\left(t\right)$ for the maximum temperatures.

(b)

To determine

The model $L\left(t\right)$ for the maximum temperatures.

(c)

To determine

To graph: The model for maximum temperature $H\left(t\right)=57.72-23.36\cos \left(\frac{\pi t}{6}\right)-2.75\sin \left(\frac{\pi t}{6}\right)$, and minimum temperature, $L\left(t\right)=42.1-20.91\cos \left(\frac{\pi t}{6}\right)-4.3\sin \left(\frac{\pi t}{6}\right)$ using graphing utility. Also determine during which part of the year the difference between minimum and maximum temperature is greatest.