Friday

August 29, 2014

August 29, 2014

Posted by **Nathan** on Monday, October 28, 2013 at 9:46pm.

If there are multiple values, separate them with commas; enter N if there are no such values.

f(x)= x^2-10x+3, [0,10]

- Calculus -
**Steve**, Tuesday, October 29, 2013 at 12:02amRolle's Theorem needs f(0) = f(10).

This is true.

So, we know that there is a c such that f'(c) = 0, where 0 <= c <= 10.

f'(x) = 2x-10

So, if f'(c) = 0, c=5.

c is indeed in the interval.

**Related Questions**

calculus - find all the numbers c that satisfy the conclusion of rolle's theorem...

calculus - f(x) = ln x, [1, 6] If it satisfies the hypotheses, find all numbers ...

Calculus - verify that the function satisfies the three hypotheses of rolle's ...

calculus - verify that the function satisfies the hypothesis of the mean value ...

Calculus - In the viewing rectangle [-4, 4] by [-20, 20], graph the function f(x...

math calculus - In the viewing rectangle [-4, 4] by [-20, 20], graph the ...

math - Verify that the function f(x)=x^3-6x^2+8x+4 satisfies the three ...

Calculus - Verify that the hypotheses of the Mean-Value Theorem are satisfied ...

calculus - Verify that the hypotheses of the Mean-Value Theorem are satisfied on...

calculus - Verify that the hypotheses of Rolle’s Theorem are satisfied for f(x)=...