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Exercise 5: Given the table of the function f(x)=2* 1 2. 3 8 f(x) 1 2 4 a) Write down the Newton polynomials P1(x), P2(x), P3(x). b) Estimate f(2.5) by using P3(x). c) Obtain a bound for the errors E1(x), E2(x), E3(x).

Exercise 5: Given the table of the function f(x)=2* 1 2. 3 8 f(x) 1 2 4 a) Write down the Newton polynomials P1(x), P2(x), P3(x). b) Estimate f(2.5) by using P3(x). c) Obtain a bound for the errors E1(x), E2(x), E3(x).

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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Exercise 5: Given the table of the function f(x)=2* 1 2 2. 4 3 f(x) 1 a) Write down the Newton polynomials P1(x), P2(x), P3(x). b) Estimate f(2.5) by using P3(x). c) Obtain a bound for the errors E1(x), E2(x), E3(x).
Transcribed Image Text:Exercise 5: Given the table of the function f(x)=2* 1 2 2. 4 3 f(x) 1 a) Write down the Newton polynomials P1(x), P2(x), P3(x). b) Estimate f(2.5) by using P3(x). c) Obtain a bound for the errors E1(x), E2(x), E3(x).
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