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 (c).

[Graphics:../Images/NewtonPolyMod_gr_426.gif]

[Graphics:../Images/NewtonPolyMod_gr_427.gif]

[Graphics:../Images/NewtonPolyMod_gr_428.gif]

[Graphics:../Images/NewtonPolyMod_gr_429.gif]

[Graphics:../Images/NewtonPolyMod_gr_430.gif]

[Graphics:../Images/NewtonPolyMod_gr_431.gif]

[Graphics:../Images/NewtonPolyMod_gr_432.gif]

[Graphics:../Images/NewtonPolyMod_gr_433.gif]

[Graphics:../Images/NewtonPolyMod_gr_434.gif]

Animation 6.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004