Return to the unconstrained optimization of Exercise 16-30 starting from x102 = 13, 72.

(a) Write the second-order Taylor approximation to the objective function at x102 for unknown x and l = 1.

(b) Compute the Newton direction x at x102 and verify that it is a stationary point of your second-order Taylor approximation.

(c) Beginning with your Newton direction, complete 2 iterations of Newton’s method Algorithm 16E.

(d) Plot progress of your search on a contour map like the one of Exercise 16-30(a).