Example 12.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_513.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_514.gif].  

Solution 12.

[Graphics:../Images/NewtonPolyMod_gr_515.gif]

[Graphics:../Images/NewtonPolyMod_gr_516.gif]

[Graphics:../Images/NewtonPolyMod_gr_517.gif]

[Graphics:../Images/NewtonPolyMod_gr_518.gif]

[Graphics:../Images/NewtonPolyMod_gr_519.gif]

[Graphics:../Images/NewtonPolyMod_gr_520.gif]

[Graphics:../Images/NewtonPolyMod_gr_521.gif]

[Graphics:../Images/NewtonPolyMod_gr_522.gif]

[Graphics:../Images/NewtonPolyMod_gr_523.gif]

Animation 15.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004