de d dz dz dy esents the volume of the region in the first octant that is inside the paraboloid y = x² +7z² and between the planes y = 8 and y = 10.

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 11E
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UX =
Iz =
represents the volume of the region in the first octant that is inside the paraboloid y = x² +7z² and between the planes y = 8 and y = 10.
lx =
Uz =
ly =
Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will involve variables x, y, z) so that
uy =
ux
da dz dy
Transcribed Image Text:UX = Iz = represents the volume of the region in the first octant that is inside the paraboloid y = x² +7z² and between the planes y = 8 and y = 10. lx = Uz = ly = Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will involve variables x, y, z) so that uy = ux da dz dy
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