Example 7.  Find the Newton polynomial approximation for  [Graphics:Images/NewtonPolyMod_gr_446.gif], on the interval [Graphics:Images/NewtonPolyMod_gr_447.gif].  

Solution 7.

[Graphics:../Images/NewtonPolyMod_gr_448.gif]

[Graphics:../Images/NewtonPolyMod_gr_449.gif]

[Graphics:../Images/NewtonPolyMod_gr_450.gif]

[Graphics:../Images/NewtonPolyMod_gr_451.gif]

[Graphics:../Images/NewtonPolyMod_gr_452.gif]

[Graphics:../Images/NewtonPolyMod_gr_453.gif]

[Graphics:../Images/NewtonPolyMod_gr_454.gif]

[Graphics:../Images/NewtonPolyMod_gr_455.gif]

[Graphics:../Images/NewtonPolyMod_gr_456.gif]

Animation 8.  ( Newton Polynomial  Newton Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004