Question: MEASURING TEMPERATURE The temperature on a certain day as measured at the airport of a city is changing at the rate of
T'(t) = 0.15t2 - 3.6t + 14.4 (0 ≤ t ≤ 4)
°F/hour, where t is measured in hours, with t = 0 corresponding to 6 a.m. The temperature at 6 a.m. was 24°F.
a. Find an expression giving the temperature T at the airport at any time between 6 a.m. and 10 a.m.
b. What was the temperature at 10 a.m.?