Question: Let C be given by y = f(x). Show that the center of curvature for (x,y) on C is(x_o,y_o)=(xyz, y+z),where z=(1+y'^2)/y.

Let C be given by y = f(x). Show that the center of curvature for (x,y) on C is(x_o,y_o)=(xyz, y+z),where z=(1+y'^2)/y".

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