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

##### 1 Answer

Apr 14, 2017

Please see below.

#### Explanation:

The average value of a function

So we need to find the average value, then solve the equation

In this question we get

Solve:

Evaluating the integral gets us:

Solve:

The only solution is