Use the given transformation to evaluate the integral.
-$$\begin{aligned}
u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \
& \iiint _ { R } ( 2 x + y - z ) d x d y d z
\end{aligned}$$
where $R$ is the parallelepiped bounded by the planes $2 x + y - z = 6,2 x + y - z = 9 , - x + y + z = 2 , - x + y + z = 4$, $- x + y + 2 z = 6 , - x + y + 2 z = 7$
A) 15
B) $\frac { 45 } { 2 }$
C) 135
D) 60

Question

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The Answer of Use the given transformation to evaluate the integral.
-$$\begin{aligned}
u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \
& \iiint _ { R } ( 2 x + y - z ) d x d y d z
\end{aligned}$$
where $R$ is the parallelepiped bounded by the planes $2 x + y - z = 6,2 x + y - z = 9 , - x + y + z = 2 , - x + y + z = 4$, $- x + y + 2 z = 6 , - x + y + 2 z = 7$
A) 15
B) $\frac { 45 } { 2 }$
C) 135
D) 60

Use the Given Transformation to Evaluate the Integral u=2x+y−z,v=−x+y+z,w=−x+y+2z∭R(2x+y−z)dxdydz\begin{aligned}u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \\& \iiint _ { R } ( 2 x + y - z ) d x d y d z\end{aligned}u=​2x+y−z,v=−x+y+z,w=−x+y+2z∭R​(2x+y−z)dxdydz​

Use the Given Transformation to Evaluate the Integral $\begin{aligned}u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \\& \iiint _ { R } ( 2 x + y - z ) d x d y d z\end{aligned}$