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Algebra & Trigonometry with Analytic Geometry

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

12 (2). Here is an Ry region, in the XY plane:
Consider the change of variable
-6
u = xy and v = 3y + 2x and the integral
2.r + 3y – 6 =0
I =
/I, (21°y – 3ry) - sin(3ry +2r°y)dAzy
2x + 3y +1 = 0
If Ry is the region in the UV plane generated
Rry
with the change of variable above, then it is
true that:
-uv? – 24u - sin(uv)dAu
R
A) I =
B) I = ||. u- sin(uv)dA
Rav
C) I =
-u - sin(uv)dAv
%3D
D) I = || uvT? – 24u - sin(uv)dAuy
Ra

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