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 (a).

[Graphics:../Images/NewtonPolyMod_gr_460.gif]

[Graphics:../Images/NewtonPolyMod_gr_461.gif]

[Graphics:../Images/NewtonPolyMod_gr_462.gif]

[Graphics:../Images/NewtonPolyMod_gr_463.gif]

[Graphics:../Images/NewtonPolyMod_gr_464.gif]

[Graphics:../Images/NewtonPolyMod_gr_465.gif]

[Graphics:../Images/NewtonPolyMod_gr_466.gif]

[Graphics:../Images/NewtonPolyMod_gr_467.gif]

[Graphics:../Images/NewtonPolyMod_gr_468.gif]

Animation 9.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004