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## Homework Statement

Find the volume of the solid in the first octant by the planes z = x + y + 1 and z = 5 - x - y

## Homework Equations

## The Attempt at a Solution

How would I set this up?

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- Thread starter cse63146
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Find the volume of the solid in the first octant by the planes z = x + y + 1 and z = 5 - x - y

How would I set this up?

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Dick

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Dick

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http://img16.imageshack.us/img16/1340/39161133fw1.jpg [Broken]

Its not to scale though; I just need to worry about the top right quadrant.

[tex]\int^{5}_{0}\int^{x - 5}_{0}\int^{5- x - y}_{0} dz dy dx + \int^{1}_{0}\int^{-x - 1}_{0}\int^{x + y +1}_{0} dz dy dx[/tex]

How off am I?

Its not to scale though; I just need to worry about the top right quadrant.

[tex]\int^{5}_{0}\int^{x - 5}_{0}\int^{5- x - y}_{0} dz dy dx + \int^{1}_{0}\int^{-x - 1}_{0}\int^{x + y +1}_{0} dz dy dx[/tex]

How off am I?

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Dick

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