- #1
King Tony
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Homework Statement
Let S be the region in the first octant under the plane 3x + 2y +z = 4. Find the volume of S.
Homework Equations
idk?
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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