Find the coordinates where the tangent line is horizontal

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The family of curves known as the Pear-shaped Quartics have equations of the form b²y² = x³ (a - x), where a and b are constants. Find the (x, y) coordinates where the tangent line to the curve is horizontal (that is to say, where y' = 0.)

269_The family of curves.png

Reference no: EM131011865

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