MA 111 - Calculus I
Worksheet #6- Newton’s method
Professor Broughton Fall 03-04
Name: Section: Box #:
1. Let f(x) = x2
−2.The solution to f(x)=0,for positive xis √2.Approx-
imate the root of f(x) = 0 by using several iterations of Newton’s method
per the table below
n xnf(xn)f0(xn)xn−f(xn)/f0(xn)
0 1
2. Solve the following cubic x3+x+ 15. using several iterations of Newtons
method. Get an initial estimate plotting.
n xnf(xn)f0(xn)xn−f(xn)/f0(xn)
0 1
3. Write a Maple program that will iterate Newton’s Method in a certain
number of step (done in class).
4. Write Maple program to implement Newtons’ method that stops when the
value of f(x) is less that a prescribed error ².
