Measures of Trisectrix

Calculus Level 4

The equation \(y^3+yx^2+ax^2-3ay^2=0\) represents the curve called Trisectrix. Now if we define a function \(E_x\) such that \(E_x\) is the sum of all the different slopes of the curve at \(x\). Find \(\Large E_a\)

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