ABSTRACT

Xo = 1.1. 34. Solve Problem 33 using x = 0.5 as the initial guess. You may want to solve this

problem on a computer, since a large number of iterations may be required. 35. The nth root of the number N can be found by solving the equation

x" - N = O. (a) For this equation, show that Newton's method gives

(E)

Use the above result to solve the following problems: (a) (161)1/3, (b) (21.75)1/4, (c) (238.56)1/5. Use x = 6.0,2.0, and 3.0, respectively, as starting values.