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The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve if (2, 1) is a point on the curve?

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Anonymous

  1. dy/dx = x/y
    y dy = x dx
    y^2 = x^2 + c
    using the point (2,1)
    1 = 4+c
    c = -3

    x^2-y^2 = 3

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    Steve

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