5. Given the following data: 0.0 0.2 0.4 0.6 0.8 f (x) -6.12500 -5.89173 -5.64215 -4.91321 -4.28757 (a) Complete the difference table for this data. (b) Using Newton's Forward -Difference Formula, approximate f(0.5). (c) Using Newton's Backward- Difference Formula, approximate f(0.65).
5. Given the following data: 0.0 0.2 0.4 0.6 0.8 f (x) -6.12500 -5.89173 -5.64215 -4.91321 -4.28757 (a) Complete the difference table for this data. (b) Using Newton's Forward -Difference Formula, approximate f(0.5). (c) Using Newton's Backward- Difference Formula, approximate f(0.65).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Given the following data:
0.0
0.2
0.4
0.6
0.8
f (x)
-6.12500
-5.89173
-5.64215
-4.91321
-4.28757
(a)
Complete the difference table for this data.
(b)
Using Newton's Forward -Difference Formula, approximate f(0.5).
(c)
Using Newton's Backward- Difference Formula, approximate f(0.65).
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