Posted by **Carla** on Sunday, December 19, 2010 at 11:15pm.

Find x* on [0, 2] such that f(x*) equals the average value of f(x) = 5x + 9 over [0, 2].

- math question 3- very urgent ! -
**drwls**, Monday, December 20, 2010 at 1:47am
Tha average value of f is the integral of the function (over that [0,2] interval) divided by the interval width, 2.

I assume you know how to integrate the function. The value of the integral is

5/2*4 + 18 = 28 . The average value is therefre 28/2 = 14

Now find what value of x that makes

5x + 9 = 14. It is 1

That should not be a surprise. For a linear function, the average is the value in the middle of the interval.

## Answer This Question

## Related Questions

- math - pls,this is very urgent.can anyone solve this within 10 mins.. 0.000143 ...
- math question 4- very urgent ! - Find the average value of f(x) = x^3 + 3 for 0...
- Math - Let f(t)=t^(2)+5t+2. Find a value of t such that the average rate of ...
- Math - Let f(x)=7x2. Find a value A such that the average rate of change of f(x...
- Calculus - Let f(t)=(1)/(t) Find a value of t such that the average rate of ...
- Quick calc question - Find the average value of f(x) = 1 over x over the ...
- math - very urgent ! - Verify that f(x) = x^3 − 2x + 6 satisfies the ...
- math - can someone correct this for me... solve: -4(2x - 3) = -8x + 5 my answer...
- Quick calc question - Write the Riemann sum to find the area under the graph of ...
- Calculus - Let F(s)=5s2+5s+4 . Find a value of d greater than 0 such that the ...

More Related Questions