A metal plate, with constant density 2 gm/cm2, has ashape bounded by the two curves y =
Chapter 8, Problem 67(choose chapter or problem)
A metal plate, with constant density 2 gm/cm2, has ashape bounded by the two curves y = x2 and y = x,with 0 x 1, and x, y in cm.(a) Find the total mass of the plate.(b) Because of the symmetry of the plate about the liney = x, we have x = y. Sketch the plate and decide,on the basis of the shape, whether x is less than orgreater than 1/2.(c) Find x and y.
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