A natural cubic spline S for a function f is defined by x x x 3 15 xs 2 12 x, 3x +- 12 + ax + S(x) 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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numerical
A natural cubic spline S for a function fis defined by
15 x< 2
x x2
+
3
S(x) =
3x?
+ ах +
4
2 < x< 3
3 <x< 4
12
An approximation of f '(2.75) is:
-0.52083
-0.14825
-0.09895
-0.14583
Transcribed Image Text:A natural cubic spline S for a function fis defined by 15 x< 2 x x2 + 3 S(x) = 3x? + ах + 4 2 < x< 3 3 <x< 4 12 An approximation of f '(2.75) is: -0.52083 -0.14825 -0.09895 -0.14583
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