Sketch the region enclased by the given curves. Decide whether to integrate with respect to x or y. Draw atypical appraximating rectangle. Find the area of the region.x - 4- 4y, x- 4y? - 4Btep 1Sketch the region.-1.0-0.51.0-0.51.0-0.5-0.5-1.0--1.DtBtap 2We will find this area by integrating with respect to y.The integrand is obtained by taking the right-hand function minus the left-hand function, or(-- a2 - (42 – 4Ay -Btep 3The limits on the integral are the y-values where the curves intersect.Equating 4- 4y- dy - 4, we find that the two solutions are y,-1 and y-stap 4Now, the area is given by- 4)) dy-dy-SubmitSkip you cannot come back)

Given that x=4-4y^2 and x=4y^2-4 To find the area of the region

Sketch the region enclased by the given curves. Decide whether to integrate with respect to x or y. Draw a typical appraximating rectangle. Find the area of the region. x - 4- 4y, x- 4y? - 4 Btep 1 Sketch the region. -1.0 -0.5 1.0 -0.5 1.0- 0.5 -0.5 -1.0F -1.D

Sketch the region enclased by the given curves. Decide whether to integrate with respect to x or y. Draw a typical appraximating rectangle. Find the area of the region. x - 4- 4y, x- 4y? - 4 Btep 1 Sketch the region. -1.0 -0.5 1.0 -0.5 1.0- 0.5 -0.5 -1.0F -1.D

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

Sketch the region enclased by the given curves. Decide whether to integrate with respect to x or y. Draw a
typical appraximating rectangle. Find the area of the region.
x - 4- 4y, x- 4y? - 4
Btep 1
Sketch the region.
-1.0
-0.5
1.0
-0.5
1.0-
0.5
-0.5
-1.0-
-1.Dt
Btap 2
We will find this area by integrating with respect to y.
The integrand is obtained by taking the right-hand function minus the left-hand function, or
(-- a2 - (42 – 4
Ay -
Btep 3
The limits on the integral are the y-values where the curves intersect.
Equating 4- 4y- dy - 4, we find that the two solutions are y,-1 and y-
stap 4
Now, the area is given by
- 4)) dy-
dy-
Submit
Skip you cannot come back)

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