Consider the function f(x) = 5e on the interval [0, 7]. 13- 12 11 10- 9 8- 7- 6- 5 2 Find the average or mean slope of the function on this interval. Enter at least 4 decimal places in your answer. By the Mean Value Theorem, we know there exists a c in the open interval (0, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Enter at least 4 decimal places in your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Consider the function f(x) = 5e on the interval [0, 7].
13-
12
11
10-
9
8-
7-
6-
5
2
Find the average or mean slope of the function on this interval. Enter at least 4 decimal places in
your answer.
By the Mean Value Theorem, we know there exists a c in the open interval (0, 7) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it. Enter at least 4
decimal places in your answer.
Transcribed Image Text:Consider the function f(x) = 5e on the interval [0, 7]. 13- 12 11 10- 9 8- 7- 6- 5 2 Find the average or mean slope of the function on this interval. Enter at least 4 decimal places in your answer. By the Mean Value Theorem, we know there exists a c in the open interval (0, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Enter at least 4 decimal places in your answer.
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