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A cubic spline S for a function fis defined by: S(x) = { (x – 1) + 2a(x – 1)² + b(x – 1)³ 15x<2 S(x): 15 + 3(x – 3c) – (x – 2)² – 2(x – 2)³ 2

A cubic spline S for a function fis defined by: S(x) = { (x – 1) + 2a(x – 1)² + b(x – 1)³ 15x<2 S(x): 15 + 3(x – 3c) – (x – 2)² – 2(x – 2)³ 2

Advanced Engineering Mathematics
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 cubic spline S for a function f is defined by: | (x – 1) + 2a(x – 1)² + b(x – 1)³ 1< x< 2 2 < x< 3 S(x) Sa) - 15 + 3(x – 3c) – (x – 2)² – 2(x – 2)³ Find a, b and c. a = 25/9, b = 3, c = -2/3. O a =-3, b = 25/9, c = -2/3 a =3, b = 25/9, c = 4/3. O a =3/2, b = -4/3, c = 25/27.
Transcribed Image Text:A cubic spline S for a function f is defined by: | (x – 1) + 2a(x – 1)² + b(x – 1)³ 1< x< 2 2 < x< 3 S(x) Sa) - 15 + 3(x – 3c) – (x – 2)² – 2(x – 2)³ Find a, b and c. a = 25/9, b = 3, c = -2/3. O a =-3, b = 25/9, c = -2/3 a =3, b = 25/9, c = 4/3. O a =3/2, b = -4/3, c = 25/27.
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