Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z) so that Г dz dz dy represents the volume of the region in the first octant that is inside the paraboloid y = x²+3z2 and between the planes y = 3 and y = 10. lx = ux= Iz = uz= ly = uy=

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 18E
Question
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z) so that
Г
dz dz dy
represents the volume of the region in the first octant that is inside the paraboloid y = x²+3z2 and between the planes y = 3 and y = 10.
lx =
ux=
Iz =
uz=
ly =
uy=
Transcribed Image Text:Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z) so that Г dz dz dy represents the volume of the region in the first octant that is inside the paraboloid y = x²+3z2 and between the planes y = 3 and y = 10. lx = ux= Iz = uz= ly = uy=
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