Example 14.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_535.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_536.gif].  

Solution 14.

[Graphics:../Images/NewtonPolyMod_gr_537.gif]

[Graphics:../Images/NewtonPolyMod_gr_538.gif]

[Graphics:../Images/NewtonPolyMod_gr_540.gif]

[Graphics:../Images/NewtonPolyMod_gr_541.gif]

[Graphics:../Images/NewtonPolyMod_gr_543.gif]

[Graphics:../Images/NewtonPolyMod_gr_544.gif]

[Graphics:../Images/NewtonPolyMod_gr_546.gif]

[Graphics:../Images/NewtonPolyMod_gr_547.gif]

[Graphics:../Images/NewtonPolyMod_gr_549.gif]

Animation 19.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004