Thursday, April 15, 2010

Fox 275

1 comment:

  1. YU says:
    Translate the parabola and the ellipse to make the y-axis the axis of symmetry.
    y=-8(x^2 - 1/4) and (x^2/a^2)+((y-b)^2)/(b^2)=1 to obtain
    8a^2y^2 - (16a^2b+b^2)y + 2b^2 =0, a quadratic equation in y.
    Let Δ=0 to obtain b=8a-16a^2.
    Area of ellipse A = πab = π(8a^2 - 16a^3).
    A_max = 8π/27.

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