Example 5.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_404.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_405.gif], [Graphics:Images/NewtonPolyMod_gr_406.gif], and [Graphics:Images/NewtonPolyMod_gr_407.gif].  

Solution 5 (a).

[Graphics:../Images/NewtonPolyMod_gr_408.gif]

[Graphics:../Images/NewtonPolyMod_gr_409.gif]

[Graphics:../Images/NewtonPolyMod_gr_410.gif]

[Graphics:../Images/NewtonPolyMod_gr_411.gif]

[Graphics:../Images/NewtonPolyMod_gr_412.gif]

[Graphics:../Images/NewtonPolyMod_gr_413.gif]

[Graphics:../Images/NewtonPolyMod_gr_414.gif]

[Graphics:../Images/NewtonPolyMod_gr_415.gif]

[Graphics:../Images/NewtonPolyMod_gr_416.gif]

Animation 4.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004