Use the following information to find the center of curvature for the curve at the given point. Let C be a curve given by y = f(x). Let K be the curvature (K 0) at the point P(x_0, y_0) and let z = 1 + f'(x_0)^2/f"(x_0). The coordinates (alpha, beta) of the center of the curvature at P are (alpha, beta) = (x_0 - f'(x_0)z, y_0 + z). y = e^x, (0, 1) (x, y) = () y = x^2/2, (1, 1/2) (x, y) = () y = x^2, (0, 0) (x, y) = ()
