Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the curves. (x, y) = (x, y) = = (x, y) = (smallest x-value) (largest y-value) x (b) Form the integral that represents the area of the shaded region. 0 2 dx + · 1² 1 Jo (c) Find the area of the shaded region. dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 35E
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Consider the following.
y
y=x³-2x
-4
-2
+
2
2
y=2x
2
(a) Find the points of intersection of the curves.
(x, y)
=
(x, y) =
=
(x, y)
=
(smallest x-value)
(largest y-value)
x
(b) Form the integral that represents the area of the shaded region.
0
2
dx +
· 1² 1
Jo
(c) Find the area of the shaded region.
dx
Transcribed Image Text:Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the curves. (x, y) = (x, y) = = (x, y) = (smallest x-value) (largest y-value) x (b) Form the integral that represents the area of the shaded region. 0 2 dx + · 1² 1 Jo (c) Find the area of the shaded region. dx
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