Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder x +9y = 9 and the planes z = 0 and z = x+ 3. 3 V9-x2 x+3 V = dz dy dx -3 9-x2 9-9y? x+3 || | dzdxdy V = 3 x+3 V = dz dy dx -3 -3V1-y 1 3V1-y x+3 V = dz dx dy -- -3/1-y? 1 3yI-y? x+3 V = dz dx dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder x + 9y = 9 and the planes z = 0 and
z = x+3.
3
9–x2
x+3
V =
dz dy dx
-V9-x2
1
9-9y2
x+3
!!
V =
dz dx dy
0 0
3
x+3
| dz dy dx
V =
-3
-3VI-y?
3VI-y x+3
V =
dz dx dy
-1
-3/1-y2
3VI-y²
1
x+3
V =
dz dx dy
Transcribed Image Text:Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder x + 9y = 9 and the planes z = 0 and z = x+3. 3 9–x2 x+3 V = dz dy dx -V9-x2 1 9-9y2 x+3 !! V = dz dx dy 0 0 3 x+3 | dz dy dx V = -3 -3VI-y? 3VI-y x+3 V = dz dx dy -1 -3/1-y2 3VI-y² 1 x+3 V = dz dx dy
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