A natural cubic spline S(x) on the interval 0≤x≤2 is defined by S(x) | S (x) 0≤x≤1 = |S₁₂ (x) 1≤x≤2 If So(x)=1+12x-2x3 and S1(x) = p + b (x-1) + c (x-1)² + d (x-1)3 then p² + b² + c² + d =
A natural cubic spline S(x) on the interval 0≤x≤2 is defined by S(x) | S (x) 0≤x≤1 = |S₁₂ (x) 1≤x≤2 If So(x)=1+12x-2x3 and S1(x) = p + b (x-1) + c (x-1)² + d (x-1)3 then p² + b² + c² + d =
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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Transcribed Image Text:A natural cubic spline S(x) on the interval 0≤x≤2 is defined by
S(x)
|
S (x)
0≤x≤1
=
|S₁₂ (x)
1≤x≤2
If
So(x)=1+12x-2x3
and S1(x) = p + b (x-1) + c (x-1)² + d (x-1)3
then p² + b² + c² + d =
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