The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is the value of f(x) dx? Write your answer in simplest form. -8 Graph of f 8 6. 6. - 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 2-1 -1 -2 -5 -6

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 14T
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The function f, shown below, is comprised of a semi-circle and piecewise linear
segments. What is the value of
| f(x) dæ? Write your answer in simplest form.
Graph of f
8.
9.
-8-7 -6 -5 -4 -3,
1 2
4.
17
8 9 10
-10 -9
-3
5 5 よd
Transcribed Image Text:The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is the value of | f(x) dæ? Write your answer in simplest form. Graph of f 8. 9. -8-7 -6 -5 -4 -3, 1 2 4. 17 8 9 10 -10 -9 -3 5 5 よd
Expert Solution
Step 1

 

Here we have the graph of function f(x)Calculus homework question answer, step 1, image 1

Then we have to find 

Value of -8-1 f(x) d(x)

so

-8-1 f(x)dx = -6-2f(x)dx + -2-1 f(x)dx + -1-1 f(x)dx---------------------(1)

Where | -8-2f(x)d2| = area of graph f(x) and x axis 

between x = -8 to x = -2

area of triangle CAB = 1/2 (AC) (AB)

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