Q1:

A bar of metal is cooling from 1000C to room temperature, 23C. The temperature, H, of the bar t minutes after it starts cooling is given, in C, by H = 23 + 977e'0-1t. (a) Find the temperature of the bar at the end of one hour. (Round your answer to the nearest degree.) C (b) Find the average value of the temperature over the first hour. (Round your answer to the nearest degree.**) C (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? The answer to part (b) is than the average of the temperatures at the beginning and the end of the hour, because the graph is concave . ** You may want to use the numerical integration tool https://www.zweigmedia.com/ReaIWorld/integral/integral.html The average value of y = v(x) equals 5 for 1 5 x s 6, and equals 7 for 6 s x s 8. What is the average value of v(x) for 1 s x 5 8? S Set up the definite integral that is needed to find the area bounded between f(x) = 5x - x2 and g(x) = 2x