Posted by **Rudy** on Wednesday, October 31, 2012 at 12:11am.

1. Determine whether Rolle's Theorem applied to the function f(x)=((x-6)(x+4))/(x+7)^2 on the closed interval[-4,6]. If Rolle's Theorem can be applied, find all numbers of c in the open interval (-4,6) such that f'(c)=0.

2. Determine whether the Mean Value Theorem applied to the function f(x)=x^2 on the closed interval[4,12]. If Mean Value Theorem can be applied, find all numbers of c in the open interval (4,12) such that f'(c)= f(12)-f(4)/(12-4).

3. Determine whether the Mean Value Theorem applied to the function f(x)=2sinx+sin2x on the closed interval[4pi,5pi]. If Mean Value Theorem can be applied, find all numbers of c in the open interval (4pi,5pi) such that f'(c)= f(5pi)-f(4pi)/(5pi-4pi).

- Calculus -
**Steve**, Wednesday, October 31, 2012 at 10:49am
see related links below

## Answer This Question

## Related Questions

- Calculus - Determine whether Rolle's Theorem can be applied to f on the closed ...
- Calculus - 1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the ...
- Math - Determine whether Rolle's Theorem can be applied to f on the closed ...
- calculus - Determine whether Rolle's Theorem can be applied to f on the closed ...
- calculus - determine whether the mean value theorem can be applied to f on the ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- calculus - Rolle's theorem cannot be applied to the function f(x) = x1/3 on the ...
- calc - Verify that the function satisfies the three hypotheses of Rolle's ...
- URGENT!! PLEASE Calc - Verify that the function satisfies the three hypotheses ...
- Calculus - Determine if Rolle's Theorem applies to the given function f(x)=2 cos...

More Related Questions