On your own, verify that f(x)=e^-x satisfies the conditions of the mean-value theorem on the interval [0,2] (You will be expected to do this on your tests!). Then, once you have verified that the mean value theorem applies, find the value of c that satisfies the conclusion. Use exact answers only.
On your own, verify that f(x)=e^-x satisfies the conditions of the mean-value theorem on the interval [0,2] (You will be expected to do this on your tests!). Then, once you have verified that the mean value theorem applies, find the value of c that satisfies the conclusion. Use exact answers only.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.3: Equations
Problem 37WE
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Question
On your own, verify that
f(x)=e^-x
satisfies the conditions of the mean-value theorem on the interval
[0,2]
(You will be expected to do this on your tests!).
Then, once you have verified that the mean value theorem applies, find the value of
c
that satisfies the conclusion. Use exact answers only.
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