Chapter 12.5, Problem 70E

(a)

To determine

To calculate: The center of curvature for the curve $y={\text{ e}}^x$ at the point $\left(0,1\right)$.

(b)

To determine

To calculate: The center of curvature for the curve $y=\frac{x^2}{2}$ at the point $\left(1,\frac{1}{2}\right)$.

(c)

To determine

To calculate: The center of curvature for the curve $y=x^2$ at the point $\left(0,0\right)$.