Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the elliptic cylinder x² + 16y = 16 and the planes z = 0 and z = x + 4. x+4 V = dz dx dy 4 4V- +4 / | dzdy dx V = -4 -4T-y 0 % = dz dx dy -l -4V1-y 0 16-r | | dz dy dx V = 16- I 16-16y x+4 V = dz dx dy

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 1YT: YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region...
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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
x² + 16y = 16 and the planes z = 0 and z = x + 4.
x+4
V =
dz dx dy
4 4V- +4
/ | dzdy dx
V =
-4 -4T-y 0
% =
dz dx dy
-l -4V1-y 0
16-r
| | dz dy dx
V =
16-
I 16-16y x+4
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 x² + 16y = 16 and the planes z = 0 and z = x + 4. x+4 V = dz dx dy 4 4V- +4 / | dzdy dx V = -4 -4T-y 0 % = dz dx dy -l -4V1-y 0 16-r | | dz dy dx V = 16- I 16-16y x+4 V = dz dx dy
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