! Take into account the order of integration ! Conmider the rectangle [0,1]-[0,1), its dosiky is gwen by plx.y)=Ke*+Y1.if we Know that s (Ke**") dxdy= K(e-1) with Rqs qconstantfind The integrals that help tofind the Center of masskA) 7 =k(kre*+y)dydx ^ j =(е — 1)2(e – 1)² / (kye"tu)dxdy11B) T =:I| (kye*+v)dxdy ^ j=(kxe*+")dydxК(е — 1)2k(е — 1)21(kre"+y)dydx ^ j =1C) 7 =k(e – 1)²k(e – 1)² /, J, (kye**v)dxdy1D) F = k(e – 1)² / (kæe*+v)dydx ^ j = k(e – 1)? / / (kye"+")dxdy

Given: Density ρx, y=kex+y……1∫01∫01kex+ydxdy=ke-12……2 Dimension of rectangle is 0, 1×0, 1 To…

Comsder the rectingle [0,1]-[0,1), its dosity is given by p(x.y)=Kc**Y if we Know that o Jo (Kem") ddy= K (e-1)* with N qs q constant Pind The integrals that help to find the Center of mass k A) 7 = (e – 1)² /. I I (kye*+")dædy (kæe*+y)dydx ^ j = (e – 1)2 1 B) T = 1 К(е — 1)2 I| (kye*+")dxdy ^ = k(e – 1)2 (kxe"+v)dydx 1 C) 7 = 1 (kxe"+v)dydx ^ j = k(е — 1)2 k(e – 1)² , /, (kye"+v)dxdy D) 7 = k(e – 1)² / (kre*+v)dyd.x ^ g= k(e – 1)² / / (kyetv)drdy

Comsder the rectingle [0,1]-[0,1), its dosity is given by p(x.y)=Kc**Y if we Know that o Jo (Kem") ddy= K (e-1)* with N qs q constant Pind The integrals that help to find the Center of mass k A) 7 = (e – 1)² /. I I (kye+")dædy (kæe+y)dydx ^ j = (e – 1)2 1 B) T = 1 К(е — 1)2 I| (kye+")dxdy ^ = k(e – 1)2 (kxe"+v)dydx 1 C) 7 = 1 (kxe"+v)dydx ^ j = k(е — 1)2 k(e – 1)² , /, (kye"+v)dxdy D) 7 = k(e – 1)² / (kre+v)dyd.x ^ g= k(e – 1)² / / (kyetv)drdy

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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