Consider the following. 1 f(x) 2(1 + g(x) = x2 (a) Use a graphing utility to graph the region bounded by the graphs of the functions. 0.6 -2 -1 0.5 0.1- 0.4 -0.2 y 0.3 -0.3 0.2 t0.4 0.1 --0.5 --0.6 0.6 0.5 0.1 p.4 -0.2 y 0.3 -0.3 0.2 0.4 0.1 -0.5 2 --0.6 (b) Find the area of the region analytically. (Round your answer to three decimal places.) (c) Use the integration capabilities of the graphing utility to verify your results. (Round your answer to three decimal places.) 2.
Consider the following. 1 f(x) 2(1 + g(x) = x2 (a) Use a graphing utility to graph the region bounded by the graphs of the functions. 0.6 -2 -1 0.5 0.1- 0.4 -0.2 y 0.3 -0.3 0.2 t0.4 0.1 --0.5 --0.6 0.6 0.5 0.1 p.4 -0.2 y 0.3 -0.3 0.2 0.4 0.1 -0.5 2 --0.6 (b) Find the area of the region analytically. (Round your answer to three decimal places.) (c) Use the integration capabilities of the graphing utility to verify your results. (Round your answer to three decimal places.) 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Question
Consider the following.
| f(x) | = |
|
||
| g(x) | = |
|
(a) Use a graphing utility to graph the region bounded by the graphs of the functions.
Transcribed Image Text:Consider the following.
1
f(x) =
2(1 + x2)
g(x) =
(a) Use a graphing utility to graph the region bounded by the graphs of the functions.
0.6
-3
-2
-1
1
2
3
0.5
6.1-
0.4
-0.2
y 0.3
Y -0.3
0.2
40.4
01
-0.5
-3
-2
-1
1
3
-0.6
0.6
-2
-1
3
0.5
F0.1
p.4
-0.2
y 0.3
-0.3
0.2
4.4
0.1
-0.5
-3
-2
-1
1
3
-0.6
(b) Find the area of the region analytically. (Round your answer to three decimal places.)
(c) Use the integration capabilities of the graphing utility to verify your results. (Round your answer to three decimal places.)
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