Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spline (a(x – 2)² + b(x – 1)³ x € (-∞, 1] c(x – 2)² d(x – 2)² + e(x – 3)³ x € [3, 0∞0) f(x) = x € [1,3] %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spline
a(1 — 2)2 + b(u — 1)8 т€ (-00,1]
x E [1,3]
d(x – 2)² + e(x – 3)3 r € [3, 00)
f(x) = { c(x – 2)²
Transcribed Image Text:Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spline a(1 — 2)2 + b(u — 1)8 т€ (-00,1] x E [1,3] d(x – 2)² + e(x – 3)3 r € [3, 00) f(x) = { c(x – 2)²
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