Find the volume of the given solid region in the first octant bounded by the plane 8x + 4y + 2z = 8 and the coordinate planes, using triple integrals. (0,0,4) (1,0,0) (0,2,0)
Find the volume of the given solid region in the first octant bounded by the plane 8x + 4y + 2z = 8 and the coordinate planes, using triple integrals. (0,0,4) (1,0,0) (0,2,0)
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 7E
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Question
![Find the volume of the given solid region in the
first octant bounded by the plane
8x + 4y + 2z = 8 and the coordinate planes,
using triple integrals.
חחח
v-!!!
V=
000
dz dy dx
(0,0,4)
Complete the triple integral below used to find the volume of the given
solid region. Note the order of integration dz dy dx.
The volume of the solid is
unit(s)³.
(Type an integer or a simplified fraction.)
(1,0,0)
1
(0,2,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ff120f1-bc43-4dfa-8402-4dae27bc4a74%2F60e53db3-57f8-4864-ba14-5605fb0cec3d%2Fktfmow6_processed.png&w=3840&q=75)
Transcribed Image Text:Find the volume of the given solid region in the
first octant bounded by the plane
8x + 4y + 2z = 8 and the coordinate planes,
using triple integrals.
חחח
v-!!!
V=
000
dz dy dx
(0,0,4)
Complete the triple integral below used to find the volume of the given
solid region. Note the order of integration dz dy dx.
The volume of the solid is
unit(s)³.
(Type an integer or a simplified fraction.)
(1,0,0)
1
(0,2,0)
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