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2х + 3, g(x) — -x* - 3, х %3D0, and x 3D 2. f(x)

2х + 3, g(x) — -x* - 3, х %3D0, and x 3D 2. f(x)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.10: Factoring By Grouping
Problem 4OE
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Find the area bounded by these conditions.

2х + 3, g(x) — -x* - 3, х %3D0, and x 3D 2. f(x)
Transcribed Image Text:2х + 3, g(x) — -x* - 3, х %3D0, and x 3D 2. f(x)
Expert Solution
Step 1

The area enclosed by two functions between x = a and x = b is given by:

A= [(f(x)-g(x)dx..1)
Step 2

Given:

f(x)=2x +3, g(x)=-x² –3 x = 0and x =2 %3D Substitute f(x)= 2x + 3, g (x)=-x² -3,x = 0 and x = 2 in (1) -$(2x (2x + 3)-(-x² -3)dx -[*+2x + 6dx x²
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