A clamped cubic spline S(x) on the interval 0≤ x ≤ 2 is defined by S(x) S√(x) 0≤x≤1 = S₁(x) 1≤x≤2 If So(x)=1+5x-6x3 and S₁(x) = p + b (x-1) + c (x-1)² + 6 (x-1)³ where p = 1+5-6 then : (s'(0))2 + (s'(2))² =

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
Problem 1YT
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A clamped cubic spline S(x) on the interval 0≤ x ≤ 2 is defined by
S(x)
S√(x)
0≤x≤1
=
S₁(x)
1≤x≤2
If
So(x)=1+5x-6x3
and S₁(x) = p + b (x-1) + c (x-1)² + 6 (x-1)³ where p = 1+5-6
then : (s'(0))2 + (s'(2))² =
Transcribed Image Text:A clamped cubic spline S(x) on the interval 0≤ x ≤ 2 is defined by S(x) S√(x) 0≤x≤1 = S₁(x) 1≤x≤2 If So(x)=1+5x-6x3 and S₁(x) = p + b (x-1) + c (x-1)² + 6 (x-1)³ where p = 1+5-6 then : (s'(0))2 + (s'(2))² =
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