S(x) = } 1s + 3(x – a) – (x – 2)² – 2(x – 2)³ S is a natural cubic spline O False O True

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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Question
numerical
A cubic spline S for a function fis defined by:
S (x – 1) + b(x – i)² + 2c(x – 1)ª
S(x)
i5 + 3(x – a) – (x - 2)² – 2(x – 2)³ 25 x5 3
15x5 2
S is a natural cubic spline
False
True
Transcribed Image Text:A cubic spline S for a function fis defined by: S (x – 1) + b(x – i)² + 2c(x – 1)ª S(x) i5 + 3(x – a) – (x - 2)² – 2(x – 2)³ 25 x5 3 15x5 2 S is a natural cubic spline False True
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