Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z) so that uz ux uy dy dx dz LLdy lz represents the volume of the region in the first octant that is bounded by the 3 coordinate planes and the plane ly= uy = lx = ux= lz= Uz= x+4y+4z = 16.
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z) so that uz ux uy dy dx dz LLdy lz represents the volume of the region in the first octant that is bounded by the 3 coordinate planes and the plane ly= uy = lx = ux= lz= Uz= x+4y+4z = 16.
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 1E
Question
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
uz
ux
uy
dy dx dz
LLdy
lz
represents the volume of the region in the first octant that is bounded by the 3 coordinate planes and the plane
ly=
uy =
lx =
ux=
lz=
Uz=
x+4y+4z = 16.
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