# How do you find the point c in the interval #0<=x<=3# such that f(c) is equation to the average value of #f(x)=3x^2#?

##### 1 Answer

Aug 6, 2017

Find the average value. Set

#### Explanation:

# = 1/3 [x^3]_0^3#

# 1/3[(3^3)-(0^3)] = 1/3(27) = 9#

Now solve