Find the center of mass of a tetrahedron of density p(x,y,z) = x + y + z bounded by the X y Z coordinate planes and the plane + 7 3 175 72 7 O A. X= y = , Z= " 8 B. X= 175 54 35 y = 7 6 7 - Z= 26 9 104 27 104 + = 1. 8

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Find the center of mass of a tetrahedron of density p(x,y,z) = x+y+z bounded by the
X y Z
coordinate planes and the plane
OA. X=-
O
O C. X=
175
72
B. x=-
175
54
O D. X=-
35
18
175
108
"
=
y =
y =
7
y =
8
7
6
7
10
"
7
12
IN
Z=
Z=
"
26
9
104
27
104
45
Z=
52
27
- +
7 3
+ = 1.
8
Transcribed Image Text:Find the center of mass of a tetrahedron of density p(x,y,z) = x+y+z bounded by the X y Z coordinate planes and the plane OA. X=- O O C. X= 175 72 B. x=- 175 54 O D. X=- 35 18 175 108 " = y = y = 7 y = 8 7 6 7 10 " 7 12 IN Z= Z= " 26 9 104 27 104 45 Z= 52 27 - + 7 3 + = 1. 8
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