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