A) Find the average or mean slope of the function on this interval. verage Slope = B) By the Mean Value Theorem, we know there exists at least one c in the open interval (4, 5) such that f'(c) is equal to this mean slope. Find all alues of c that work and list them (separated by commas) in the box below. ist of values:

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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Consider the function f(x) = 4Vx + 2 on the interval [4, 5].
Transcribed Image Text:Consider the function f(x) = 4Vx + 2 on the interval [4, 5].
(A) Find the average or mean slope of the function on this interval.
Average Slope =
(B) By the Mean Value Theorem, we know there exists at least one c in the open interval (4, 5) such that f'(c) is equal to this mean slope. Find all
values of c that work and list them (separated by commas) in the box below.
List of values:
Transcribed Image Text:(A) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (4, 5) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values:
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