Example 6.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_435.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_436.gif].  

Solution 6.

[Graphics:../Images/NewtonPolyMod_gr_437.gif]

[Graphics:../Images/NewtonPolyMod_gr_438.gif]

[Graphics:../Images/NewtonPolyMod_gr_439.gif]

[Graphics:../Images/NewtonPolyMod_gr_440.gif]

[Graphics:../Images/NewtonPolyMod_gr_441.gif]

[Graphics:../Images/NewtonPolyMod_gr_442.gif]

[Graphics:../Images/NewtonPolyMod_gr_443.gif]

[Graphics:../Images/NewtonPolyMod_gr_444.gif]

[Graphics:../Images/NewtonPolyMod_gr_445.gif]

Animation 7.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004