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Use the Given Transformation to Evaluate the Integral Where RR Is the Parallelepiped Bounded by the Planes

Question 331

Multiple Choice

Use the given transformation to evaluate the integral.
- u=2x+yz,v=x+y+z,w=x+y+2z(2x+yz) (zx+y) (2zx+y) dxdydz\begin{aligned}u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \\& \iiint ( 2 x + y - z ) ( z - x + y ) ( 2 z - x + y ) d x d y d z\end{aligned}
where RR is the parallelepiped bounded by the planes 2x+yz=2,2x+yz=3,x+y+z=2,x+y+z=62 x + y - z = 2,2 x + y - z = 3 , - x + y + z = 2 , - x + y + z = 6 , x+y+2z=2,x+y+2z=7- x + y + 2 z = 2 , - x + y + 2 z = 7


A) 2700
B) 300
C) 1200
D) 1350

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