Example 13.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_524.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_525.gif].  

Solution 13.

[Graphics:../Images/NewtonPolyMod_gr_526.gif]

[Graphics:../Images/NewtonPolyMod_gr_527.gif]

[Graphics:../Images/NewtonPolyMod_gr_528.gif]

[Graphics:../Images/NewtonPolyMod_gr_529.gif]

[Graphics:../Images/NewtonPolyMod_gr_530.gif]

[Graphics:../Images/NewtonPolyMod_gr_531.gif]

[Graphics:../Images/NewtonPolyMod_gr_532.gif]

[Graphics:../Images/NewtonPolyMod_gr_533.gif]

[Graphics:../Images/NewtonPolyMod_gr_534.gif]

Animation 18.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004