Example 15.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_550.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_551.gif].  

Solution 15.

[Graphics:../Images/NewtonPolyMod_gr_552.gif]

[Graphics:../Images/NewtonPolyMod_gr_553.gif]

[Graphics:../Images/NewtonPolyMod_gr_555.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_557.gif]

[Graphics:../Images/NewtonPolyMod_gr_558.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_560.gif]

[Graphics:../Images/NewtonPolyMod_gr_561.gif]

 

[Graphics:../Images/NewtonPolyMod_gr_563.gif]

[Graphics:../Images/NewtonPolyMod_gr_564.gif]

Animation 20.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004