A cubic spline S for a function f is defined by: ( (х — 1) + а(х - 1)2 — с (х — 1)3 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please help find a,b,c values

A cubic spline S for a function f is defined by:
( (х — 1) + а(х - 1)2 — с (х — 1)3
1<x<2
S(x)
15 + 3(x – b) – (x – 2)² – 2(x – 2)³
2<x<3
Find a, b and c.
a = 25/9, b = 3, c = -2/3.
a =3, b = 25/9, c = 4/3.
a =3/2, b = -4/3, c = 25/27.
a =-3, b = 25/9, c = -2/3
Transcribed Image Text:A cubic spline S for a function f is defined by: ( (х — 1) + а(х - 1)2 — с (х — 1)3 1<x<2 S(x) 15 + 3(x – b) – (x – 2)² – 2(x – 2)³ 2<x<3 Find a, b and c. a = 25/9, b = 3, c = -2/3. a =3, b = 25/9, c = 4/3. a =3/2, b = -4/3, c = 25/27. a =-3, b = 25/9, c = -2/3
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