Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the function on this interval. 2/5 – 2/2 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. 3 X o 3.3311388300842 4
Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the function on this interval. 2/5 – 2/2 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. 3 X o 3.3311388300842 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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fThe answer to the right of the key symbol is the correct answer.
![Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the
function on this interval.
2/5 – 2v2
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.
3
X o 3.3311388300842
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc14768d3-3359-407d-85b4-624ecac227c9%2Fc4582638-a4ea-4e0d-8bc5-c82f512f0cf1%2Fah44j3o_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2/x + 5 on the interval [2, 5]. Find the average or mean slope of the
function on this interval.
2/5 – 2v2
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.
3
X o 3.3311388300842
4
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