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2. [-/3 Points] DETAILS LARCALC11 7.6.020. Find My My, and (x, ) for the laminas of uniform density p bounded by the graphs of the equations. y = (x,y- Mx My Viewing Saved Work Revert to Last Response Submit Answer View Previous Question Question 2 of 4

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the graphs Find Max, My and (2,8) for the Jaminas of Uniform density s bounded by of the eyelations y = x, y = x yer point of intesection of comes HER y = tx and y = x 3 as X 9 - X-3X=0 x/M → vá (1-3) =0 » x 50 mnd VB=3 and x=3 lx=9 and y=0 forxzo y=3 for x=3 point (x, y) = (0,0) and (9,3) let fow=56 and x 3 lamina of now we calculate the mass m foren uniform density . b m= 8 [ f(x) = g(x)] dix a = - [Jan Joke [ 3.4312 -? 1.9 = [ 18 – 27-0 +o S 2

こ P [36-27] 2 m 99 (ن) 2 now. moment about x-axis and y-axts film Mye = [ff (x))2= (g(x))2] doc to а. ma = 819 slo (200² - ( 23 ) 2) dx (x - x²) dx 2 = 9 2 = P [ x² - x 37 = { [ 1 - 27-010 - 2 127) me = 278 and my ex{fv=gwo) de = 8 19 x (x - x) dx

My = f 1 (23/2 _ x²) dx P[22372 – ?. = L [_486 0 +0] ] 01-0 5 = my = 81 S 5 centre of mass is given by = my (7, 8) = m mx m BIP gL 2 5 278/28 220 2 = 278 B12 2 5 93 4 9f n, g) - 5 NIN Hence mx= 278 4 818 2 my = (2,5) = 10 3 Niw