Example 8.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_457.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_458.gif], and [Graphics:Images/NewtonPolyMod_gr_459.gif].  

Solution 8 (b).

[Graphics:../Images/NewtonPolyMod_gr_469.gif]

[Graphics:../Images/NewtonPolyMod_gr_470.gif]

[Graphics:../Images/NewtonPolyMod_gr_471.gif]

[Graphics:../Images/NewtonPolyMod_gr_472.gif]

[Graphics:../Images/NewtonPolyMod_gr_473.gif]

[Graphics:../Images/NewtonPolyMod_gr_474.gif]

[Graphics:../Images/NewtonPolyMod_gr_475.gif]

[Graphics:../Images/NewtonPolyMod_gr_476.gif]

[Graphics:../Images/NewtonPolyMod_gr_477.gif]

Animation 10.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004