Apply two steps of Inverse Quadratic Interpolation to the equations of Exercise 1. Use initial guesses x0 = 1, x1 = 2, and x2 = 0, and update by retaining the three most recent iterates.
Apply two steps of the Secant Method to the following equations with initial guesses x0 = 1 and x1 = 2. (a) x3 = 2x + 2
(b) ex + x = 7
(c) ex + sin x = 4