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kimmy0394
Group Title
Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a commaseparated list. If Rolle's Theorem does not apply, enter DNE)
f(x) = ln(5 − sin(x)) on [0, 2π]
 2 years ago
 2 years ago
kimmy0394 Group Title
Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a commaseparated list. If Rolle's Theorem does not apply, enter DNE) f(x) = ln(5 − sin(x)) on [0, 2π]
 2 years ago
 2 years ago

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nasryn Group TitleBest ResponseYou've already chosen the best response.0
Do you know the conditions of Rolle's Theorem?
 2 years ago

simone12103 Group TitleBest ResponseYou've already chosen the best response.0
no i don't !
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.0
The function has to be continuous and differentiable and f(a)=f(b)
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
I guess I can join in?
 2 years ago

kimmy0394 Group TitleBest ResponseYou've already chosen the best response.0
yeah i do but i tried and didn't get the right answer
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
just answered this question earlier on line class?
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
Okay so you know rolle's theorem states that if you have a continuous and differentiable function on [a,b] and (a,b) then there exists a number c where f'(c) is equal to zero on that interval.
 2 years ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.1
So you would differentiate and set y= 0, then solve for x.
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
sinc \(sin(0)=\sin(2\pi)=0\) you get \(f(0)=f(2\pi)=\ln(5)\) take the derivative, set it equal to zero and solve for \(x\)
 2 years ago

simone12103 Group TitleBest ResponseYou've already chosen the best response.0
okay ! thanks for the help and yes online class :(
 2 years ago
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