Example 5.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_404.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_405.gif], [Graphics:Images/NewtonPolyMod_gr_406.gif], and [Graphics:Images/NewtonPolyMod_gr_407.gif].  

Solution 5 (b).

[Graphics:../Images/NewtonPolyMod_gr_417.gif]

[Graphics:../Images/NewtonPolyMod_gr_418.gif]

[Graphics:../Images/NewtonPolyMod_gr_419.gif]

[Graphics:../Images/NewtonPolyMod_gr_420.gif]

[Graphics:../Images/NewtonPolyMod_gr_421.gif]

[Graphics:../Images/NewtonPolyMod_gr_422.gif]

[Graphics:../Images/NewtonPolyMod_gr_423.gif]

[Graphics:../Images/NewtonPolyMod_gr_424.gif]

[Graphics:../Images/NewtonPolyMod_gr_425.gif]

Animation 5.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004