A bar of metal is cooling from 1000 degrees celsius to room temperature, 20 degrees celsius. The temperature, H, in degrees celsius, of the bar t minutes after it starts cooling is given by

H(t) = 20 + 980e^-0.1t

a. Find the temperature of the bar at the end of one hour.

b. Find the average value of the temperature over the first hour.

c. Is your answer to part (b) greater or smaller than the average of the temperatures at the beginning and the end of the hour?Explain this in terms of the concavity of the graph of H