Use the transformation u = x, v = z y, w = xy to findG(z y)2xy dVwhere G is the region

Chapter 14, Problem 41

(choose chapter or problem)

Use the transformation $u=x, v=z-y, w=x y$ to find

$\int \int_{G} \int (z-y)^{2} x y d V$

Where $G$ is the region enclosed by the surfaces $x=1, x=3, z=y, z=y+1, x y=2, x y=4$.

Equation Transcription:

$u=x,\ v=z-y,\ w=xy$

$\int\limits_{\ }^{\ }\int\limits_{G}^{\ }\int\limits_{\ }^{\ }{\left({z-y}\right)}^{2}xy\ \ dV$

$G$

$x=1,\ x=3,\ z=y,\ z=y+1,\ x\ y=2,\ x\ y=4$

Text Transcription:

u=x, v=z-y, w=xy

integral integral_G integral (z -y)^2 xy dV

x=1, x=3, z=y, z=y+1, x y=2, x y=4

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