Find the centroid of the thin plate bounded by the graphs of the functions g(x) =x-(x- 1) + 1 and f(x) = x + 1 with 8 = 2 and M = mass of the region covered by the plate. Use the following equations. b b XT Sx[f(x) - g(x)]dx N O M [12 (x) - 92(x)]dx M J a a The centroid of the thin plate is (x,y) , where x - and y = (Type integers or simplified fractions.)