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Problem Two (8 Marks) Consider the following Data: ?(15) = 24, ?(18) = 37, ??? ?(22)...

Problem Two
Consider the following Data: ?(15) = 24, ?(18) = 37, ??? ?(22) = 25.
The newton’s Divided Difference formula for interpolating a polynomial of a second order for the above data is
?(?)=?(? )+?[? ,? ](?−? )+?[? ,? ,? ](?−? )(?−? ). 2 010021001
Find the values of ?[?1, ?0] and ?[?2, ?1, ?0].
Math   Calculus   
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