Randolph College
Department of Mathematics and Computer Science

 

Homework # 17 - Math 149


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

Consider the function \(f(x) = x^3 + 2x - 2\)

A student performs Newton's method beginning with initial guess \(x_0 = 1\):

 
n xn xn+1
0 1.0000 0.8000
1 0.8000 0.7714
2 0.7714 0.7509
3 0.7509 0.7508

1.  Which of the following is true?

a.  There is a mistake computing x1

b.  The value x1 is correct, but there is a mistake computing x2

c.  The value x2 is correct, but there is a mistake computing x3

d.  The value x3 is correct, but there is a mistake computing x4

d.  There are no errors in this table.