y y = x' - 2 x 4 2 -4 -2 2 -2 y = 2 x -6F (a) Find the points of intersection of the curves. (х, у) %3 (smallest x-value) (х, у) = (х, у) (largest y-value) (b) Form the integral that represents the area of the shaded region. 0. ' 2 dy + dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the following.
y
y = x° - 2 x
4
2
X
-4
-2
4
-2
y = 2 x
-4
-6
(a) Find the points of intersection of the curves.
(х, у) %3D (
(smallest x-value)
(х, у)
(х, у)
(largest y-value)
(b) Form the integral that represents the area of the shaded region.
0.
2
dx +
dx
2
(c) Find the area of the shaded region.
Transcribed Image Text:Consider the following. y y = x° - 2 x 4 2 X -4 -2 4 -2 y = 2 x -4 -6 (a) Find the points of intersection of the curves. (х, у) %3D ( (smallest x-value) (х, у) (х, у) (largest y-value) (b) Form the integral that represents the area of the shaded region. 0. 2 dx + dx 2 (c) Find the area of the shaded region.
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