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(5) Given a density function p(x, y), the mass of an object occupying the region D in the p(x,y) dA. Furthermore, the coordinates (7,5) of the xy-plane is given by m = D center of the mass are given by x = = = ff xp(x, y) dª m D Find the center of mass of a flat triangle sheet with vertices (0,0), (1,0), and (0, 2) with the density function p(x, y) = 1 + 3x + y kg/m². and y = 1/ [[ SPK² m D yp(x, y) dA

(5) Given a density function p(x, y), the mass of an object occupying the region D in the p(x,y) dA. Furthermore, the coordinates (7,5) of the xy-plane is given by m = D center of the mass are given by x = = = ff xp(x, y) dª m D Find the center of mass of a flat triangle sheet with vertices (0,0), (1,0), and (0, 2) with the density function p(x, y) = 1 + 3x + y kg/m². and y = 1/ [[ SPK² m D yp(x, y) dA

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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(5) Given a density function p(x, y), the mass of an object occupying the region D in the p(x,y) dA. Furthermore, the coordinates (2,5) of the xy-plane is given by m = D center of the mass are given by x = = = ff xp(x, y) dª m D Find the center of mass of a flat triangle sheet with vertices (0, 0), (1,0), and (0, 2) with the density function p(x, y) = 1+3x+y kg/m². and y = 1 / 11 SPK² m D yp(x, y) dA
Transcribed Image Text:(5) Given a density function p(x, y), the mass of an object occupying the region D in the p(x,y) dA. Furthermore, the coordinates (2,5) of the xy-plane is given by m = D center of the mass are given by x = = = ff xp(x, y) dª m D Find the center of mass of a flat triangle sheet with vertices (0, 0), (1,0), and (0, 2) with the density function p(x, y) = 1+3x+y kg/m². and y = 1 / 11 SPK² m D yp(x, y) dA
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