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