# calculus

posted by .

g(t)=2+cos t; [0,pi]
Can you help me find the average rate of change of the function over the given interval?

• calculus -

There is no rate of change of the number 2
Graph cos t from 0 to pi
1 at t = 0
0 at t = pi/2
-1 at t = pi
so it drops
now the average rate of change is the function at pi - the function at t all divided by the time, pi
function at pi = -1
function at 0 = +1
(-1 - 1 )/pi = -2/pi

## Similar Questions

1. ### Calulus

Consider the following function. f(t) = 3t2 − 3 (a) Find the average rate of change of the function below over the interval [3, 3.1]. (b) Compare this average rate of change with the instantaneous rates of change at the endpoints …
2. ### calculus (rate of change)

consider the function f(x)=x^2-6x+12 a. find the average rate of change over the interval [-1,3] b. use the definition of the derivative to find f prime(x) c. find the instantaneous rate of change at the point where x=3 d. find the …
3. ### calculus

Find the average rate of change of the function over the given interval. You must reduce and simplify your answer, if possible. a. f(x)=cot x, [pi/6, pi/2] b. f(theta)= -2 + cos (theta), [-pi, 0]
4. ### calculus

Given the function: f(x)=x^3-4x^2+6x-3 a) Find the average rate of change of the function on the interval [2,4] b)find the instantaneous rate of change of the function at x=3.
5. ### Calculus

I'm supposed to find the average value of the function over the given interval. f(x) = sin(nx), interval from 0 to pi/n, where n is a positive integer. I know the average value formula, and I know that the integral of that function …
6. ### Function: Rate of Change

Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
7. ### function rate of change

Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
8. ### rate of change

Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
9. ### math

h(t)=cos t, [pi/4, 3pi/4] find the average rate of change of the function over the given interval or intervals
10. ### calculus

find the average rate of change of the function f(x)=x^3+1 over the interval [-1,1]

More Similar Questions