(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let S be the region in the first octant under the plane 3x + 2y +z = 4. Find the volume of S.

2. Relevant equations

idk?

3. The attempt at a solution

[tex]\int^{\frac{4}{3}}_{0}\int^{\frac{3}{2}x + 2}_{0}\int^{-3x - 2y + 4}_{0}dzdydx[/tex]

= [tex]\int^{\frac{4}{3}}_{0}\int^{\frac{3}{2}x + 2}_{0}(-3x - 2y + 4)dydx[/tex]

= [tex]\int^{\frac{4}{3}}_{0}(-\frac{15}{2}x^{2} - 6x + 4)dx[/tex]

= 448/27

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# Homework Help: Triple Integral, already solved, need checked

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