Example 10.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_491.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_492.gif].  

Solution 10.

[Graphics:../Images/NewtonPolyMod_gr_493.gif]

[Graphics:../Images/NewtonPolyMod_gr_494.gif]

[Graphics:../Images/NewtonPolyMod_gr_495.gif]

[Graphics:../Images/NewtonPolyMod_gr_496.gif]

[Graphics:../Images/NewtonPolyMod_gr_497.gif]

[Graphics:../Images/NewtonPolyMod_gr_498.gif]

[Graphics:../Images/NewtonPolyMod_gr_499.gif]

[Graphics:../Images/NewtonPolyMod_gr_500.gif]

[Graphics:../Images/NewtonPolyMod_gr_501.gif]

Animation 13.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004