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Ok heres the question

Find the volume of the region between places x+y+2z=2 and 2x+2y+z=4 in THE FIRST QUADRANT, using rectangular coordinates.

What I have done:

Graphed the planes. Created x=o y=o and z=o planes to remain in first quadrant for my own visuals. I set both the planes equal to zero. Solved for my x y and z intercepts. x=2, y=2 for both and z=1 for one and z=4 for another.

Now the set up my integrals. I need to integrate the z to go between the two planes so I was thinking to subtract one from the other..? That or I make me lower limit one of the planes and the other my upper limit. This is whats hanging me up... whether to subtract or not. If it do then its not the same function , but if I dont then I think my limits will have no "limit" to go from z=0 to another limit.

Help

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# Finding Volume between Two planes Help

**Physics Forums | Science Articles, Homework Help, Discussion**