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Determine whether Rolle's theorm can be applied on the closed interval [a, b]. If Rolle's theorm can be applied, find all vales of c in the interval [a,b] such that f'(c)=0. If Rolle's theorm cannot be applied, explain why not.
 2 years ago
 2 years ago
Determine whether Rolle's theorm can be applied on the closed interval [a, b]. If Rolle's theorm can be applied, find all vales of c in the interval [a,b] such that f'(c)=0. If Rolle's theorm cannot be applied, explain why not.
 2 years ago
 2 years ago

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ChrisVBest ResponseYou've already chosen the best response.0
f(x)=(x1)(x2)(x3), [1,3]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
since \[f(1)=f(3)=0\] and since any polynomial is differentiable you can use rolle
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
\[f(x)=x^36 x^2+11 x6\] \[f'(x)=3x^212x+11\] so rolle says there somewhere in [1,3] there is a number c with \[f'(c)=0\] set \[3x^212x+11=0\] solve for x
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
that is where i am stuck, i got that far
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
use the quadratic formula if it does not factor
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
if that is too annoying, then cheat http://www.wolframalpha.com/input/?i=3x^212x%2B11%3D0
 2 years ago
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