|
Sol5hw4a
The function
f(x)=tan(x) – 2x
has a root near x = 1.22 radians. Using Newton’s method, fill the following
table and locate the root.
|
xold |
f(xold) |
f’(xold) |
xnew |
|
1.22 |
.29275 |
6.4678 |
1.1747 |
|
1.1747 |
.0418 |
4.7178 |
1.1658 |
|
1.1658 |
.00106 |
4.4413 |
1.1656 |
|
1.1656 |
.000172 |
4.43529 |
1.16556 |
The root is 1.16556.