Consider the function f(a) = 10a + 8 on the interval |4, 8|. Find the average or mean slope of the function on this interval.
Consider the function f(a) = 10a + 8 on the interval |4, 8|. Find the average or mean slope of the function on this interval.
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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Transcribed Image Text:Consider the function f(x) =
10 x + 8 on the interval 4, 8|. 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 (4, 8) 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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