3) Develop cubic splines for the data given below and 1 2 3 5 f(x) 3 6 19 99 (a) Predict f (6) and f(3.2) and (b) Verify that f₂2 (5) and f3(5) = 99. 7 291 8 444

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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3) Develop cubic splines for the data given below and
X
2
3
5
f(x)
3
6
19
99
(a) Predict f (6) and f(3.2) and
(b) Verify that f2(5) and f3(5) = 99.
7
291
8
444
4) Determine the coefficients of the cubic equation that passes through the first four points
in problem (1)
Transcribed Image Text:3) Develop cubic splines for the data given below and X 2 3 5 f(x) 3 6 19 99 (a) Predict f (6) and f(3.2) and (b) Verify that f2(5) and f3(5) = 99. 7 291 8 444 4) Determine the coefficients of the cubic equation that passes through the first four points in problem (1)
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