The temperature on New Year's Day in Hinterland was given by T(h) = -a - bcos(PiH/12), where T is the temperature in degreen Fahrenheit and h is the number of hours from midnight from 0 to 24.

The initial temperature at midnight T(0) was -15F and at noon, T(12) was 5F. Find a and b.

-What do I do?

Find the average temperature for the first 10 hours.

-DO I just use the Average value theorem?

Use the trapezoid Rule with 4 subdivisions to estimate integral from 0 to 8 of T(h)dh.

Find an expression for the rate that the temperature is changing with respect to h