Using the data of the table below, apply Gregory-Newton's backward divided differences to interpolate the value of f(25.08). Evaluate the fifth-degree polynomial. i 2 3 4 6. 7 9. 6.18 12.36 18.54 24.72 30.90 37.08 43.26 49.44 55.62 fi -0.1030 -0.2049 -0.3046 -0.4011 -0.4933 -0.5803 -0.6611 -0.7348 -0.8008

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the data of the table below, apply Gregory-Newton's backward divided differences to interpolate the
value of f(25.08). Evaluate the fifth-degree polynomial.
i
2
3
4
6.
7
9.
6.18
12.36
18.54
24.72
30.90
37.08
43.26
49.44
55.62
fi
-0.1030 -0.2049
-0.3046
-0.4011
-0.4933
-0.5803
-0.6611
-0.7348
-0.8008
Transcribed Image Text:Using the data of the table below, apply Gregory-Newton's backward divided differences to interpolate the value of f(25.08). Evaluate the fifth-degree polynomial. i 2 3 4 6. 7 9. 6.18 12.36 18.54 24.72 30.90 37.08 43.26 49.44 55.62 fi -0.1030 -0.2049 -0.3046 -0.4011 -0.4933 -0.5803 -0.6611 -0.7348 -0.8008
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