I was hoping someone could check my work to make sure I am understanding how to find the center of mass. Please and thank you :-) 54 +12 =b6.23Sux + 4x dx = &x+4 + ( -o = 54 +1$ 2 = Mx3 1.6. Find the center of mass of the lamina with density function p(x) = 2y + 6x inthe region R = {(x, y)|0 < x < 2,0 < y < 3}.m =3X%3Dve will see latesdx=of double inte= 9x +=Ow to obtainbe a very ler1459.18+ 27xdx = 18%+ L.27 xO2 3ique for corsng the definL.2. easier if we18() + 22 (2) = 36 +54 = 19023ith respect tsisice thhtrodrachi549= 90.+ bx?95.3549x+smooSince AAcoordinates, theThis OpenStax book is available for free a

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Mg= SS x(3x+ xy) dydx= ! 3x +x y dydx 3x y+ X5 S bx'+ 8 x dx 3. 6. Find the center of mass of the lamina with density function p(x) = 2y + 6x in the region R = {(x,y)|0 < x < 2,0 < y< 3}. 33 (3) 23 145.5= My 9x + 18 x] 9(1) + 9 (2)" = 18+ 36 =541 ique i %3D ng the define 23 2. s (s'+ bx(3)-(6)dx= S 9+18xdx . easier if we ith respect J 18+ 27xdx = 19% +27 x = 18(4) + 22 (2) = 36 +54 = My !{ x(2y+bx)dydz = 2x4+ by' dydx = lx O23 %3D 90 (2)* 3 ice th d% = ntrod achi = 18 + 48 = 54 9= 90 54 3 5 ysis

Mg= SS x(3x+ xy) dydx= ! 3x +x y dydx 3x y+ X5 S bx'+ 8 x dx 3. 6. Find the center of mass of the lamina with density function p(x) = 2y + 6x in the region R = {(x,y)|0 < x < 2,0 < y< 3}. 33 (3) 23 145.5= My 9x + 18 x] 9(1) + 9 (2)" = 18+ 36 =541 ique i %3D ng the define 23 2. s (s'+ bx(3)-(6)dx= S 9+18xdx . easier if we ith respect J 18+ 27xdx = 19% +27 x = 18(4) + 22 (2) = 36 +54 = My !{ x(2y+bx)dydz = 2x4+ by' dydx = lx O23 %3D 90 (2)* 3 ice th d% = ntrod achi = 18 + 48 = 54 9= 90 54 3 5 ysis

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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