# Average Rate of Change Over an Interval - Page 6

Questions

- How do you find the average rate of change of #y=x^2-3x# from 2 to 5?
- Suppose that #f(x)= t^2 + 3t - 7#. What is the average rate of change of f (x) over the interval 5 to 6?
- How do you find the average rate of change for the function #f(x) = x^3 − 3x^2# on the indicated intervals [0,10]?
- What is the average value of the function #f(x) = 4 - x^2# on the interval #[-2,2]#?
- What is the average value of the function #f(x)=cos(8x)# on the interval #[0,pi/2]#?
- The position of an object as a function of time is given by #x(t)= at^3-bt^2+ct-d# where a=3.6 m/s^2, b=4.0 m/s^2, c=60m, and d=7.0m, how do you find instantaneous acceleration at t=2.4s?
- What is the average rate of change of the function #f(x)=sin x# on the interval [0, pi]?
- What is the average value of #20+10xe^(-x/3)# over the interval of 0< x <15?
- How do you find the average rate of change of #f(x)=x^2+3x+4# between x=2 and x=4?
- How do you find the numbers b such that the average value of #f(x) = 7 + 10x − 9x^2# on the interval [0, b] is equal to 8?
- How do you find the average rate of change for the function # y = 3x^2 -2x +1# on the indicated intervals [-1,1]?
- How do you find the average rate of change for the function #f(x) = x^2 - 2x # on the indicated intervals [1,3]?
- How do you find the average value of: #f(x) = 8 sin x + 6 cos x# on the interval #[0,(10pi)/6 ]#?
- What is the average value of the function # F(t)=Sin^3(t)cos^3(t)# on the interval #[-pi, pi]#?
- How do you find the average rate of change of #y=2x^2+2x+2# over [0,1/2]?
- How do you find the average rate of change of #f(x) = x + x^4# from [-2,4]?
- How do you find the average rate of change of #h(x)=x^2+3x-1# over [0,2]?
- How do you find the average acceleration given a car travels from rest in a distance of 400m in 16 seconds?
- What is the average value of the function #f(x)=sin^2(3x)+x# on the interval #[0, π]#?
- Tiffany has been dieting for 6 months. After 1 month Tiffany lost a total of 8 pounds. After 6 months, she lost a total of 25 pounds. How do you find the average rate of change of pounds per month?