Example 11.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_502.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_503.gif].  

Solution 11.

[Graphics:../Images/NewtonPolyMod_gr_504.gif]

[Graphics:../Images/NewtonPolyMod_gr_505.gif]

[Graphics:../Images/NewtonPolyMod_gr_506.gif]

[Graphics:../Images/NewtonPolyMod_gr_507.gif]

[Graphics:../Images/NewtonPolyMod_gr_508.gif]

[Graphics:../Images/NewtonPolyMod_gr_509.gif]

[Graphics:../Images/NewtonPolyMod_gr_510.gif]

[Graphics:../Images/NewtonPolyMod_gr_511.gif]

[Graphics:../Images/NewtonPolyMod_gr_512.gif]

Animation 14.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004