Homework assigned 9/11, due 9/18

from "Numerical Mathematics and Computing"



Dependence on intial guess/intial interval

Consider f(x) = cos(x). This has infinitely many zeros. Using either the bisection method or Newton's method, find a root. Now demonstrate that if you change your initial guess (for Newton) or your initial interval (for bisection) then you get a different root.

Section 3.2

Written problems: 1, 2, 5, 8, 12, 22, 23, 35, 38
Computer problems: 1, 7, 15, 21