[Solution Library] Use Cartesian coordinates to calculate the exact value of the triple integral ∫_R ∫(x+2 y) d x d y d z where R is the region
Question: Use Cartesian coordinates to calculate the exact value of the triple integral
\[\iint_{R} \int(x+2 y) d x d y d z\]where \(R\) is the region that is bounded by two contiguous vertical walls lying in the plane \(y=x\) and the parabolic cylinder \(y=x^{2}\), by a horizontal floor in the plane \(z=0\) and by a sloping roof in the plane \(z=x\).
Deliverable: Word Document 
(See Solution) Use spherical polar coordinates to calculate the
![[Solution] Use the change of variables x=1/2(u+v),](/images/solutions/MC-solution-library-46817.jpg "[Solution] Use the change of variables x=1/2(u+v), y=1/2(u-v)")
[Solution] Use the change of variables x=1/2(u+v), y=1/2(u-v)
(Solution Library) Calculate the exact value of the flux ∫_S F •
(Solved) The computer output given above is for Problem 7-31.
![[See Steps] The computer output below is](/images/solutions/MC-solution-library-46820.jpg "[See Steps] The computer output below is for a product mix problem")
[See Steps] The computer output below is for a product mix problem
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