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Find the centroid of the area enclosed by y=x+2 and y = 2 for 1 < x 4. 4 A = (( = x

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Find the centroid of the area enclosed by y=x+2 and y = 2 for 1 < x 4. 4 A = (( = x + 2 2) dx = (x dx 4 2 2X 15 15 =c+x] = (419)-4)=43 4 x f =) x = 1/5 S ( 1/2x+2-2)dx 1 4 f =(x*dx = #147 4 15 4 3 4 15 =(-)=()=5 43 - +) = + ( 21 ) = 14 6) 4 6 y = 31/05 ( ((x + 2) - (2) = 11 14 2 ) dx 1/24 S ( 4x + 2x + 4 - 4) dx 30 12 4 +x3 (+16-(+ 2] 1 27 = 14 14 (644 + 16 - (1/2 + 1) 4 ()= ( 81 ) = 27 6 " 12

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