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Solve the problem related to the plate

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Question: A metal plate, with constant density 2 gm/cm2, has a shape 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 line y = x, we have = . Sketch the plate and decide, on the basis of the shape, whether x¯ is less than or greater than 1/2.

(c) Find x¯ and y¯.

Reference no: EM131607482

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