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determine the co-ordinate of the poin of intersection of the curves y=x*x and y*y=8x. sketch the two curves and find the area enclosed by the two curves.

  • maths -

    y = x^2 = sqrt(8x)
    x^4 = 8x
    (x^3 - 8)*x = 0
    x = 0 or 2

    For the area between the curves, integrate
    (8x)^(1/2) - x^2
    from 0 to 2.

    sqrt8*2^(3/2)/(3/2) - (2^3)/3
    = 16/3 - 8/3 = 8/3

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