14. 5- 4- g(x) 3 1- Let g be a function whose domain is the closed interval [0,8]. The graph of g is shown above. The graph is made up of straight line segments and a semicircle. 2x-1 Let f(x) = | g(t) dt. A. Compute f(). B. What is the domain of f? C. Find f'(3).

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 51E
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Solve number 14

 

14.
4-
g(x)
3-
2-
1+
1
3
6
7.
1.
2-
3+
Let g be a function whose domain is the closed interval [0, 8]. The graph of g is shown
above. The graph is made up of straight line segments and a semicircle.
2x-1
Let f(x) =
g(t) dt.
A. Compute f().
B. What is the domain of f?
C. Find f'(3).
D. Find the x-coordinate of the absolute maximum of f on its
domain.
Transcribed Image Text:14. 4- g(x) 3- 2- 1+ 1 3 6 7. 1. 2- 3+ Let g be a function whose domain is the closed interval [0, 8]. The graph of g is shown above. The graph is made up of straight line segments and a semicircle. 2x-1 Let f(x) = g(t) dt. A. Compute f(). B. What is the domain of f? C. Find f'(3). D. Find the x-coordinate of the absolute maximum of f on its domain.
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