Consider the function f(x) = 2,/T +2 on the interval [2, 5]. Find the average or mean slope of the function on this interval. %3| By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the function f(x) = 2/7 +2 on the interval [2, 5]. Find the average or mean slope of the
function on this interval.
By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) = 2/7 +2 on the interval [2, 5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (2, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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