5 (a)

00:53 578BAB 52%O X 88 Q W Numerical Analysis ~ +1 X . . . 5. Use the method of Steepest Descent to approximate minima to within 0.005 for the following func- tions. a. g(x1, X2) = cos(x] + X2) + sin x1 + cos x2 b. g (x1, X2) = 100(x7 - x2)2 + (1 - x1)2 c. g (x1, X2, X3) = x7 + 2x2 + x3 - 2x1x2 + 2x1 - 2.5x2- x3+ 2 d. g(x1, X2, X3) = x1 + 2x2 + 3x4 + 1.01 All Rights Reserved May not be copied, scanned, or duplicated, in whole or in pant. Due to electronic rights, some third party content may be suppressed from the eBook andor Chapter(s). ppressed content does not materially alfeet the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 10.4 Steepest Descent Techniques 673 APPLIED EXERCISES 6. Exercise 12 in Section 10.2 concerns a biological experiment to determine the maximum water temperature at which various species of hydra can survive without shortened life expectancy. In that exercise, Newton's method was used to find the values of a, b and c to minimize