Consider the function f(x) = 2 - 7x² on the interval [ - 5, 7]. Find the average or mean slope of the function on this interval, i.e. f(7)-f(-5) 7-(-5) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 7) such that f (c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Consider the function f(x) = 2 - 7x² on the interval [ - 5, 7]. Find the average or mean slope of the function on this interval, i.e. f(7)-f(-5) 7-(-5) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 7) 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
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![Consider the function f(x) = 2 - 7x² on the interval [ - 5, 7]. Find the average or mean slope of the function
on this interval, i.e.
A(7)-f(-5)
7-(-5)
By the Mean Value Theorem, we know there exists a c in the open interval ( - 5, 7) such that ƒ (c) is equal to
this mean slope. For this problem, there is only one c that works. Find it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20bcd63b-83d7-46f1-8dda-4948c111e68b%2Ff007bd4c-142b-461e-a001-71ea20b3a2ec%2Fgqzmb99_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 2 - 7x² on the interval [ - 5, 7]. Find the average or mean slope of the function
on this interval, i.e.
A(7)-f(-5)
7-(-5)
By the Mean Value Theorem, we know there exists a c in the open interval ( - 5, 7) such that ƒ (c) is equal to
this mean slope. For this problem, there is only one c that works. Find it.
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