Solved

Use the Given Transformation to Evaluate the Integral u=2x+yz,v=x+y+z,w=x+y+2zdxdydz\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.
- u=2x+yz,v=x+y+z,w=x+y+2zdxdydz\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 RR is the parallelepiped bounded by the planes 2x+yz=4,2x+yz=10,x+y+z=6,x+y+z=82 x + y - z = 4,2 x + y - z = 10 , - x + y + z = 6 , - x + y + z = 8 , x+y+2z=2,x+y+2z=4- x + y + 2 z = 2 , - x + y + 2 z = 4


A) 8
B) 36
C) 72
D) 16

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions