[Solution] Consider the solid bounded by the parabolic cylinder z=4-y^2 and the planes x=2 y, x=0, z=0, in the first octant. Evaluate ∫_D (x y)/(√z)
Question: Consider the solid bounded by the parabolic cylinder \(z=4-y^{2}\) and the planes \(x=2 y, x=0, z=0\), in the first octant. Evaluate \(\iiint_{D} \frac{x y}{\sqrt{z}} d V\) in the order $d z d y d x$.
Deliverable: Word Document 
(See Steps) Use a triple integral to show that the volume bounded
Solution: Find the volume of the region above the paraboloid
(Solution Library) Sketch the region of integration and then evaluate the
![[Solution Library] Use the transformation u=x y,](/images/solutions/MC-solution-library-65868.jpg "[Solution Library] Use the transformation u=x y, v=x/y to evaluate ∫_R(x/y")
[Solution Library] Use the transformation u=x y, v=x/y to evaluate ∫_R(x/y
![[Solution] Use the transformation u=x+y, v=x-y to](/images/solutions/MC-solution-library-65869.jpg "[Solution] Use the transformation u=x+y, v=x-y to evaluate ∫_R(x+y)")
[Solution] Use the transformation u=x+y, v=x-y to evaluate ∫_R(x+y)
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