Posted by **Anonymous** on Saturday, October 30, 2010 at 3:51pm.

verify that the function satisfies the three hypotheses of rolle's theoreom on the given interval then find all numbers c that satisfy the conclusion of rolle's theorem.

1) 5-12x+3x^2 [1,3]

- Calculus -
**MathMate**, Saturday, October 30, 2010 at 9:41pm
To see if Rolle's theorem applies, check

1. if the function is continuous on the closed interval [a, b].

2. if it is differentiable

on the open interval (a,b).

Furthermore,

3. check if f(a)=f(b).

If all the above conditions are satisfied, then there exists some value c between a and be such that f(c)=0.

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