Question: A metal plate, with constant density 2 gm/cm2, has a shape bounded by the curve y = x2 and the x-axis, with 0 ≤ x ≤ 1 and x, y in cm.
(a) Find the total mass of the plate.
(b) Sketch the plate, and decide, on the basis of the shape, whether is less than or greater than 1/2.
(c) Find x¯.