C program to construct a divided difference table for f(x) = cos x based on five points which are 0,1,2,3,4. Use the coefficient ak (k, cos k). Round up to 7 decimal places. Derive p1(x), p2(x), p3(x), p4(x).
Please I need any help I can get on this program. Whatever you guys do to help would be sincerely appreciated. Thanks

In numerical analysis, it`s called Newton's divided differences interpolation polynomial because the coefficients of the polynomial are calculated using divided differences.

Construct a divided difference table for f(x) = cos x based on 5points which are 0,1,2,3,4.

The program will be written in C such that the result will be computed in a tabular form
like the table below for example:

In numerical analysis, it`s called Newton's divided differences interpolation polynomial because the coefficients of the polynomial are calculated using divided differences.

Construct a divided difference table for f(x) = cos x based on 5points which are 0,1,2,3,4.

The program will be written in C such that the result will be computed in a tabular for.

Please help me write the code in full.
Thanks. I`m so grateful

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Note : Sel is the Word.Selection object and the Clipboard contains an Excel Table.

public void AddClipboard()
{
Sel.PasteExcelTable(false,false, false);
var t = Sel.Tables[Sel.Tables.Count];
t.AutoFitBehavior(Word.WdAutoFitBehavior.wdAutoFitContent);
}

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the function that I created to find the ...