uy uz ux fff dx dz dy ly lz 1x represents the volume of the region in the first octant that is inside the y = x² + z² and between the planes y = 8 and y = 10. paraboloid lx = UX = Iz = uz = ly = uy =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that

 

uy
dx dz dy
lz
represents the volume of the region in the first octant that is inside the
paraboloid
y = x² + z² and between the planes y
=
8 and y = 10.
lx =
UX =
Iz =
uz =
ly =
uy =
uz
ux
Transcribed Image Text:uy dx dz dy lz represents the volume of the region in the first octant that is inside the paraboloid y = x² + z² and between the planes y = 8 and y = 10. lx = UX = Iz = uz = ly = uy = uz ux
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