[Graphics:BNgr1.gif]
[Graphics:BNgr2.gif]

[Graphics:BNgr3.gif]

[Graphics:BNgr4.gif]
[Graphics:BNgr5.gif]
[Graphics:Images/A:BisNew_gr_6.gif]
[Graphics:Images/A:BisNew_gr_7.gif]

Bisection Method

[Graphics:Images/A:BisNew_gr_8.gif]
[Graphics:Images:BisNew_gr_9.gif]
n [Graphics:Images:BisNew_gr_10.gif] [Graphics:Images:BisNew_gr_11.gif] [Graphics:Images:BisNew_gr_12.gif] [Graphics:Images:BisNew_gr_13.gif] [Graphics:Images:BisNew_gr_14.gif]
1 0.` [Graphics:Images:BisNew_gr_15.gif] 0.5` 0.5` [Graphics:Images:BisNew_gr_16.gif]
2 0.5` [Graphics:Images:BisNew_gr_17.gif] 0.25` 0.75` 0.671875`
3 0.5` 0.75` 0.125` 0.625` 0.119140625`
4 0.5` 0.625` 0.0625` 0.5625` [Graphics:Images/A:BisNew_gr_18.gif]
5 0.5625` 0.625` 0.03125` 0.59375` [Graphics:Images/A:BisNew_gr_19.gif]
6 0.59375` 0.625` 0.015625` 0.609375` 0.054409027099609375`
7 0.59375` 0.609375` 0.0078125` 0.6015625` 0.0223793983459472656`
8 0.59375` 0.6015625` 0.00390625` 0.59765625` 0.00644737482070922851`

Newton's Method

[Graphics:Images/A:BisNew_gr_20.gif]
[Graphics:Images/A:BisNew_gr_21.gif]
n [Graphics:Images/A:BisNew_gr_22.gif]
1 [Graphics:Images/A:BisNew_gr_23.gif]
2 [Graphics:Images/A:BisNew_gr_24.gif]
3 [Graphics:Images/A:BisNew_gr_25.gif]
4 [Graphics:Images/A:BisNew_gr_26.gif]
5 [Graphics:Images/A:BisNew_gr_27.gif]
[Graphics:Images/A:BisNew_gr_28.gif]


Converted by Mathematica      December 2, 1999