The volume R is the tetrahedron formed by x ≥ 0, y ≥ 0, z ≥ 0,x+2y+3z ≤ 6. The mass density of R is f(x, y, z) = x. Find the center of gravity of the mass: (x,y,z)?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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The volume R is the tetrahedron formed by x ≥ 0, y ≥ 0, z ≥ 0, x+2y+3z ≤ 6. The mass density of R is f(x, y, z)= x. Find the center
of gravity of the mass: (x,y,z)?
Transcribed Image Text:The volume R is the tetrahedron formed by x ≥ 0, y ≥ 0, z ≥ 0, x+2y+3z ≤ 6. The mass density of R is f(x, y, z)= x. Find the center of gravity of the mass: (x,y,z)?
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