A natural cubic spline S for a function f is defined by +3 x² x 3 + 3 2 1≤x≤2 2≤x≤: 3≤x≤ 5(x) = - 12 +3 12 x 12 + 4 3x² 4 4 a + ax + 17 6
A natural cubic spline S for a function f is defined by +3 x² x 3 + 3 2 1≤x≤2 2≤x≤: 3≤x≤ 5(x) = - 12 +3 12 x 12 + 4 3x² 4 4 a + ax + 17 6
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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A natural cubic spline S for a function f is defined by
1<x<2
3
12
4
2
S(x) =
3x2
17
+ ax +
2 x< 3
12
4
3<x<4
12
4
An approximation of f '(2.75) is:
-0.09895
O 0.52083
-0.14825
0.14583
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