Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the X y Z +== 1. 4 9 3 plane + OA. 4 4(1-y/9) 3(1-x/4-y/9) ! ! 0 0 OB. 41-x/4 1-x/4-y/9 SS 0 0 OC. 49(1-x/4) 3(1-x/4-y/9) 0 0 0 0 0 0 OD. 4 1-y/9 1-x/4-y/9 0 0 dz dy dx dz dy dx dz dy dx dz dy dx

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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Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the
X
y Z
plane +
+
4
0
9
O A. 4 4(1-y/9) 3(1-x/4-y/9)
3
0
0
= 1.
OB. 41-x/4 1-x/4-y/9
!!!
0
OC. 49(1-x/4) 3(1-x/4-y/9)
!!!
0
0
0
OD. 41-y/9 1-x/4-y/9
S S
0
0
dz dy dx
dz dy dx
dz dy dx
dz dy dx
Transcribed Image Text:Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the X y Z plane + + 4 0 9 O A. 4 4(1-y/9) 3(1-x/4-y/9) 3 0 0 = 1. OB. 41-x/4 1-x/4-y/9 !!! 0 OC. 49(1-x/4) 3(1-x/4-y/9) !!! 0 0 0 OD. 41-y/9 1-x/4-y/9 S S 0 0 dz dy dx dz dy dx dz dy dx dz dy dx
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