Explore BrainMass

# Mean value theorem : explained

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

10. Find the numbers c referred to in the mean value theorem for integrals for each function, over the interval indicated.

https://brainmass.com/statistics/mean-value-theorem-explained-44135

#### Solution Preview

According to the mean value theorem, there exists a c between a and b such that:

int(f(x), a, b)= (b-a)*f(c)

Note that I have shown the definite integral of f(x) from x=a to x=b by int( f(x), a, b).

(a)
f(x)=6x^2, a=-3, b=4, so the theorem implies that: there exists a c between -3 and 4 such ...

#### Solution Summary

This shows how to find the numbers for the mean value theorem for given functions.

\$2.49