4. For given function y = e*/(x3 + 1) and points on this function (0,1), (0.5,1.46553), (1,), find i) Linear spline interpolation ii) Quadratic spline interpolation iii) Cubic spline interpolation. iv) Plot all polynomials and exact function in a same figure. v) Pick up 100 points between (0,1) and calculate root mean square error between true values and values obtained from i), ii), iii) polynomials.

4. For given function y = e*/(x3 + 1) and points on this function (0,1), (0.5,1.46553), (1,), find i) Linear spline interpolation ii) Quadratic spline interpolation iii) Cubic spline interpolation. iv) Plot all polynomials and exact function in a same figure. v) Pick up 100 points between (0,1) and calculate root mean square error between true values and values obtained from i), ii), iii) polynomials.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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