Section 4.8.   Read the entire section (only 3.5 pages).  Pay particular attention to Figure 4, Example 1 with Figure 5, and Example 2.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 4.8 to selliott@utm.edu .

1) What are some ways to choose an initial approximation x1? 

1. guessing, from a rough sketch of the graph of f, or from a computer generated graph of f

Darcey Jones


2) What happens with Newton's method if f'(x1) = 0?

Then Newton's Method fails and a better initial approximation x1 should be chosen

Austin Gullet


3) In Example 2, how do we know when to stop?

3) When x5 and x6 agree to 8 decimal places

Alyssa Reed