x² - 1, 1 < x < 10. Find the average value of f(x) = %3D

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

Can the average rate of change of a function be constant?

Find the average rate of change of f(x)=x2x on the interval [1,9] .

Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.

In Example 7, find the average speed of the car (a) from t1=0tot2=1 second and (b) from t1=1 second to t2=4 seconds.

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

For the following exercises, find the average rate of change of the functions from x=1tox=2 . 24. f(x)=4x3

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.