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Unformatted text preview: 1 , , 1 , , , = = = = = = y y x x z xy z . (#18) Application of Triple Integrals Suppose you have a solid region Q whose density at (x, y, z) is given by the density function ρ . The center of mass of the region is given by ( 29 z y x , , where ∫ ∫ ∫ = Q dV z y x m ) , , ( = yz M ∫ ∫ ∫ Q dV z y x x ) , , ( = xz M ∫ ∫ ∫ Q dV z y x y ) , , ( = xy M ∫ ∫ ∫ Q dV z y x z ) , , ( and m M x yz = , m M y xz = and m M z xy =...
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This note was uploaded on 01/13/2012 for the course MATH 2574 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
- Spring '12