Example 9.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_478.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_479.gif].  

Solution 9.

[Graphics:../Images/NewtonPolyMod_gr_480.gif]

[Graphics:../Images/NewtonPolyMod_gr_481.gif]

[Graphics:../Images/NewtonPolyMod_gr_482.gif]

[Graphics:../Images/NewtonPolyMod_gr_483.gif]

[Graphics:../Images/NewtonPolyMod_gr_484.gif]

[Graphics:../Images/NewtonPolyMod_gr_485.gif]

[Graphics:../Images/NewtonPolyMod_gr_486.gif]

[Graphics:../Images/NewtonPolyMod_gr_487.gif]

[Graphics:../Images/NewtonPolyMod_gr_488.gif]

[Graphics:../Images/NewtonPolyMod_gr_489.gif]

[Graphics:../Images/NewtonPolyMod_gr_490.gif]

Animation 12.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004