Find the critical points of the curve: y=1/3 x^3 -1/2 x^2-2x+2 and specify what kind of points are it.
If the curve y = ax^4 + bx^3 + cx^2 + dx + e pass through the point (-1, 8), be tangent to the line y = 11x - 5 at (1,6) and have a critical point at (0,3), what is a, b, d and e?
Find the orthogonal trajectories of the one parameter family of curves ex+e-y=c
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