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lovekblue
 2 years ago
f(x) = ln x, [1, 8]
Using mean value theorem, find all numbers c that satisfy the conclusion of the Mean Value Theorem.
lovekblue
 2 years ago
f(x) = ln x, [1, 8] Using mean value theorem, find all numbers c that satisfy the conclusion of the Mean Value Theorem.

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myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2\[f'(c)=\frac{f(b)f(a)}{ba}\]

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0I found my c to be 3.366 but the answer is wrong

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0yes, i know how to do it..but got it wrong.. don't know why

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Does it want an approximation?

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0it didn't say..so i'm thinking should the answer be an exact number

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0(Enter your answers as a commaseparated list. If it does not satisfy the hypotheses, enter DNE).

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0but then i think there is only 1 number c

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Well the number you put above is not the exact answer

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2That is call an appoximation

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0how do get an exact number?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2So I assume you did the setup right because you got the approximation to the correct answer

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2This is the setup you chose? \[\frac{1}{c}=\frac{\ln(8)\ln(1)}{81}\]

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2We know ln(1) =? and 81=? So can you tell me what 1/c= Don't use your calculator

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0and then f'(c) = 1/c then solve for c

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.2Ok we have \[\frac{1}{c}=\frac{\ln(8)0}{7}\] Do you know how to solve this for c?

lovekblue
 2 years ago
Best ResponseYou've already chosen the best response.0ln 8/ 7 = 1/c c= 7/ln8
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