2. The following table 1 4 5 9 11 4 8 11 12 16 21 x 0 y is given for a function y = f(x). Using Newton's divided difference interpolating polynomial, obtain an approximate solution for f(7) and f'(7).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. The following table
I
0
1 4
5 9 11
y 4 8 11 12 16 21
is given for a function y = f(x). Using Newton's divided difference interpolating polynomial, obtain an approximate
solution for f(7) and f'(7).
Transcribed Image Text:2. The following table I 0 1 4 5 9 11 y 4 8 11 12 16 21 is given for a function y = f(x). Using Newton's divided difference interpolating polynomial, obtain an approximate solution for f(7) and f'(7).
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