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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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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. 23 Sux + 4x dx = &x+4 + ( -o = 54 +1$ 2 = Mx 3 1. 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}. m = 3X %3D ve will see lates dx= of double inte = 9x + = Ow to obtain be a very ler 145 9. 18+ 27xdx = 18%+ L.27 x O2 3 ique for cors ng the defin L. 2 . easier if we 18() + 22 (2) = 36 +54 = 190 23 ith respect t sis ice th htrodr achi 54 9= 90. + bx? 9 5. 3 54 9x+ smoo Since AA coordinates, the This OpenStax book is available for free a
Transcribed Image Text:54 +12 =b6. 23 Sux + 4x dx = &x+4 + ( -o = 54 +1$ 2 = Mx 3 1. 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}. m = 3X %3D ve will see lates dx= of double inte = 9x + = Ow to obtain be a very ler 145 9. 18+ 27xdx = 18%+ L.27 x O2 3 ique for cors ng the defin L. 2 . easier if we 18() + 22 (2) = 36 +54 = 190 23 ith respect t sis ice th htrodr achi 54 9= 90. + bx? 9 5. 3 54 9x+ smoo Since AA coordinates, the This OpenStax book is available for free a
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