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 =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
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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 =
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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