12 6. Suppose that f (t) = 3t + 2 a. What is the average rate of change of f(t) over the interval 2 to 4? b. What is the instantaneous rate of change of f (t) when t = 2?

For the following exercises, find the average rate of change of each function on the interval specified. y=1x on [1,3]

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?

Find the average rate of change of f(x)=x2+2x8 on the interval [5,a] in simplest forms in terms ofa.

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?