A cubic spline S for a function f is defined by: S(x- 1) + b(x - 1)² + 2c(x – 1)³ 13xS2 S(x) = (5 +3(x– a) – (x – 2)² – 2(x – 2)³ 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A cubic spline S for a function f is defined by:
S(x) =
S (x - 1) + b(x - 1)² + 2c(x – 1)³
(5 +3(x – a) – (x – 2)² – 2(x – 2)
2<x<3
S is a natural cubic spline
O False
O True
Transcribed Image Text:A cubic spline S for a function f is defined by: S(x) = S (x - 1) + b(x - 1)² + 2c(x – 1)³ (5 +3(x – a) – (x – 2)² – 2(x – 2) 2<x<3 S is a natural cubic spline O False O True
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