Implicit Functions - Dartmouth College
x2 +2xy +y2 ¡y +x = 0: In this case, a = 1, b = 2, and c = 1, so b2 ¡4ac = 0 and the curve of this relation is a parabola. Let us find its implicit functions. A conic section will have at most two implicit function. We find them by treating this relation as if it is a quadratic function of y, and that x is just part of the coefficients: x2 ... ................
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