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

question 82

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{aligned}u = & 2 x + y - z , v = - x + y + z , w = - x + y + 2 z \\& \iiint \mathrm { dx } d y d z\end{aligned}$$
where $R$ is the parallelepiped bounded by the planes $2 x + y - z = 4,2 x + y - z = 10 , - x + y + z = 6 , - x + y + z = 8$ , $- x + y + 2 z = 2 , - x + y + 2 z = 4$

• A) 8
• B) 36
• C) 72
• D) 16

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