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= 2. Determine the clamped cubic spline S given below that interpolates the data ƒ(x。) : ƒ(0) = 2, ƒ(x₁) = ƒ(2) = 6, ƒ(x2) = ƒ(4) = 18 and satisfies S'(0) = 0 and S′(4) = 8: S(x) = | So(x) = = 2+ Bx+Cx² + Dx³, for 0 ≤ x ≤ 2, | S₁(x) = 6 + b(x − 2) + (x − 2)² + d(x − 2)³, for 2 ≤ x ≤ 4.

= 2. Determine the clamped cubic spline S given below that interpolates the data ƒ(x。) : ƒ(0) = 2, ƒ(x₁) = ƒ(2) = 6, ƒ(x2) = ƒ(4) = 18 and satisfies S'(0) = 0 and S′(4) = 8: S(x) = | So(x) = = 2+ Bx+Cx² + Dx³, for 0 ≤ x ≤ 2, | S₁(x) = 6 + b(x − 2) + (x − 2)² + d(x − 2)³, for 2 ≤ x ≤ 4.

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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= 2. Determine the clamped cubic spline S given below that interpolates the data f(xo) = ƒ(0) = 2, ƒ(x₁) = ƒ(2) = 6, ƒ(x₂) = ƒ(4) : 18 and satisfies S'(0) = 0 and S′(4) = 8: = S(x) = [So (x) 2+ Bx+Cx² + Dx³, for 0 ≤ x ≤ 2, S₁(x) = 6 + b(x − 2) + (x − 2)² + d(x − 2)³, for 2 ≤ x ≤ 4. =
Transcribed Image Text:= 2. Determine the clamped cubic spline S given below that interpolates the data f(xo) = ƒ(0) = 2, ƒ(x₁) = ƒ(2) = 6, ƒ(x₂) = ƒ(4) : 18 and satisfies S'(0) = 0 and S′(4) = 8: = S(x) = [So (x) 2+ Bx+Cx² + Dx³, for 0 ≤ x ≤ 2, S₁(x) = 6 + b(x − 2) + (x − 2)² + d(x − 2)³, for 2 ≤ x ≤ 4. =
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