Question: Let C be given by y = f(x). Show that the center of curvature for (x,y) on C is1+(y)2(x0,y0)=(xyz,y+z),wherez= y.Findthecenterofcurvaturefory=ex atthepoint(0,1) on the curve.

Let C be given by y = f(x). Show that the center of curvature for (x,y) on C is1+(y)2(x0,y0)=(xyz,y+z),wherez= y.Findthecenterofcurvaturefory=ex atthepoint(0,1) on the curve.

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