- Zvw (sin ( 8. Use the transformations v = x + y and w = x – y to set up the transformed integral ff,(x2 - 2xy + y²)e*+y dA if R is the region bounded by x - y = 1, x – y = 2, x = 0, and y = 0. You only need to set it up; you do not need to solve it. Yと山 2ラMラ」 N=1, W= 2 V=0, V=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I keep confusing myself on this problem. Can someone please take a look for me? Thank you!
=W COS (v²). Zv
J (sin (ve) (-wsin(v²). 2v) - (w cos (v9.2v) (cos(ve))
(Sinlv )( 2vw sin(v*)-( 2VNcos (ve) Ccos (ves)
Zvw sin (v) - (2vw cos (v?)
-2vw sin? (v?)-2vN Cos? (v?)
- 2vw (sin? (v) + cos (v*))
%3D
My
= - Zvw (1)
2vw
%3D
Me
8. Use the transformations v = x + y and w = x – y to set up the transformed
integral SS,(x² – 2xy + y²)e*+y dA if R is the region bounded by x - y = 1, x –
y = 2, x = 0, and y = 0. You only need to set it up; you do not need to solve it.
25 M51
WEl, W=2, V=0,V=0
h-x =M
V +W = X +U
t X-4
2x-0
W-V= -24
V +W 2x
-2
M.
Yw =
Transcribed Image Text:=W COS (v²). Zv J (sin (ve) (-wsin(v²). 2v) - (w cos (v9.2v) (cos(ve)) (Sinlv )( 2vw sin(v*)-( 2VNcos (ve) Ccos (ves) Zvw sin (v) - (2vw cos (v?) -2vw sin? (v?)-2vN Cos? (v?) - 2vw (sin? (v) + cos (v*)) %3D My = - Zvw (1) 2vw %3D Me 8. Use the transformations v = x + y and w = x – y to set up the transformed integral SS,(x² – 2xy + y²)e*+y dA if R is the region bounded by x - y = 1, x – y = 2, x = 0, and y = 0. You only need to set it up; you do not need to solve it. 25 M51 WEl, W=2, V=0,V=0 h-x =M V +W = X +U t X-4 2x-0 W-V= -24 V +W 2x -2 M. Yw =
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