Question

Problem 3 (4 point) Determine the x-coordinate of the centroid of the shaded area. 9.14

Answer 1

Xbe b2 x= add a'ba to both side bx+ay=a?? a%b2-ay? b2 a b-ay? b? Vb-y? x=f(y)=;/62–y? (A= tab;y=0 m = f(y)]’dy a X Area 1 m = y dy (integrate) 2 а 3 b 137 m 2 362) -b m 2a²b m = A from formula ; x= 3 2a²b/3_4a паb/2 3л 4a centroid at o 37' X= (3 8,0

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