Evaluate (x +y) dz dy dx.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate
(r+y) dz dy dx.
SOLUTION This iterated integral is a triple integral over the solid region
-(xy2)-2<2, -4-x< y 4-x, + y <z
and the projection of E onto the ry-plane is the disk x' + y 4. The lower surface of
E is the cone :-
Vx + y and its upper surface is the plane z 2.
This region has a much simpier description in cylindrical coordinates:
E-(r, 6. 2) |0< e 27, 0<r< 2,r1<2}
Set
but do not solve the
USING CYLINDRICAL COORDINATES.
pinkyral needed
Transcribed Image Text:Evaluate (r+y) dz dy dx. SOLUTION This iterated integral is a triple integral over the solid region -(xy2)-2<2, -4-x< y 4-x, + y <z and the projection of E onto the ry-plane is the disk x' + y 4. The lower surface of E is the cone :- Vx + y and its upper surface is the plane z 2. This region has a much simpier description in cylindrical coordinates: E-(r, 6. 2) |0< e 27, 0<r< 2,r1<2} Set but do not solve the USING CYLINDRICAL COORDINATES. pinkyral needed
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