4. Verify whether S(x) is a cubic spline{−(x − 1)³ + 2(x − 1)² + 4(x − 1) + 1S(x)=x³ + x − 1If not, how can it be fixed?Is the original function or its revision a natural cubic spline?Is it a not-a-knot cubic spline?on [0, 1)on [1,2]

A function S(x) is called cubic spline in if S(x) satisfies the following condition.

Answered: 4. Verify whether S(x) is a cubic…

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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4. Verify whether S(x) is a cubic spline x³ x - 1 S(x) = { ²² + ² 17²³ + 2(x − 1)² + 4(x − 1) + 1 − If not, how can it be fixed? Is the original function or its revision a natural cubic spline? Is it a not-a-knot cubic spline? on [0, 1) on [1,2]