X Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane 8 OA. 8 8(1-y/4) 7(1-x/8-y/4) "ITT... s 0 0 0 O B. 8 1-y/4 1-x/8-y/4 SS S 0 0 0 OC. 8 4(1-x/8) 7(1-x/8-y/4) °°!!! 0 0 O D. 8 1-x/8 1-x/8-y/4 SS S 0 0 0 0 dz dy dx dz dy dx dz dy dx dz dy dx y 4 Z 7 = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
X
Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane
8
OA. 8 8(1-y/4) 7(1-x/8-y/4)
"ITT-
s
0
0
0
OB. 8 1-y/4 1-x/8-y/4
!!!
0 0
0
0
O D. 8 1-x/8 1-x/8-y/4
SS S
0
0
0
0
dz dy dx
O C. 8 4(1-x/8) 7(1-x/8-y/4)
°°!!
0
dz dy dx
dz dy dx
dz dy dx
y
4
Z
7
= 1
Transcribed Image Text:X Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane 8 OA. 8 8(1-y/4) 7(1-x/8-y/4) "ITT- s 0 0 0 OB. 8 1-y/4 1-x/8-y/4 !!! 0 0 0 0 O D. 8 1-x/8 1-x/8-y/4 SS S 0 0 0 0 dz dy dx O C. 8 4(1-x/8) 7(1-x/8-y/4) °°!! 0 dz dy dx dz dy dx dz dy dx y 4 Z 7 = 1
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