(c) Determine the natural cubic spline that interpolates the data f(0) = 0, f(1) = 1, f(3) = 4 and find the approximate value of f(1.2) correct to four decimal places

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Please do not use Lagrange polynomials. Show me what's S(x) at [0,1] and S(x) at [1,3] 

(c) Determine the natural cubic spline that interpolates the data
S(0) = 0, f(1) = 1, ƒ(3) = 4
and find the approximate value of f(1.2) correct to four decimal places
Transcribed Image Text:(c) Determine the natural cubic spline that interpolates the data S(0) = 0, f(1) = 1, ƒ(3) = 4 and find the approximate value of f(1.2) correct to four decimal places
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