Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder 2 + 25y2 = 25 and the planes z = 0 and z = x + 5. 1 5V1-y x+5 V = dz dx dy -1 -5VI-y 0 5 5V1-y x+5 V = dz dy dx -5 -5V1-y 1 25-25y? x+5 V = dz dx dy 1 5V1- x+5 V = dz dx dy V25-x x+5 V = dz dy dx -5 V25-x 0
Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder 2 + 25y2 = 25 and the planes z = 0 and z = x + 5. 1 5V1-y x+5 V = dz dx dy -1 -5VI-y 0 5 5V1-y x+5 V = dz dy dx -5 -5V1-y 1 25-25y? x+5 V = dz dx dy 1 5V1- x+5 V = dz dx dy V25-x x+5 V = dz dy dx -5 V25-x 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
* + 25y = 25 and the planes z = 0 and z = x + 5.
1 5V1-y x+5
V =
dz dx dy
-1 -5y1-y 0
5 5V1- x+5
V =
dz dy dx
-5VI-y
-5
1 25-25у? х+5
! ! !
V =
dz dx dy
1 5VI-y2
x+5
V =
dz dx dy
5
V25-x2 x+5
V =
dz dy dx
-V25-x2 0
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