[Solution] Set up a triple integral which could be used to evaluate the function w=3 x y z^2 over the tetrahedral region bounded by the $x y, y z, x z$
Question: Set up a triple integral which could be used to evaluate the function \(w=3 x y z^{2}\) over the tetrahedral region bounded by the $x y, y z, x z$ and \(4 x+3 y+2 z=12\) planes.
Deliverable: Word Document 
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![[Steps Shown] If f(x,y,z)=x^2y-xz+y^3z , and x(r,s)=r+s^2,y(r,s)=rs,z(r,s)=2r-3s](/images/solutions/MC-solution-library-65596.jpg "[Steps Shown] If f(x,y,z)=x^2y-xz+y^3z , and x(r,s)=r+s^2,y(r,s)=rs,z(r,s)=2r-3s")
[Steps Shown] If f(x,y,z)=x^2y-xz+y^3z , and x(r,s)=r+s^2,y(r,s)=rs,z(r,s)=2r-3s
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