Example 16.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_565.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_566.gif].  

Solution 16.

[Graphics:../Images/NewtonPolyMod_gr_567.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_569.gif]

[Graphics:../Images/NewtonPolyMod_gr_570.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_572.gif]

[Graphics:../Images/NewtonPolyMod_gr_573.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_575.gif]

[Graphics:../Images/NewtonPolyMod_gr_576.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_578.gif]

[Graphics:../Images/NewtonPolyMod_gr_579.gif]

Animation 22.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004