1. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 respectively using Newton's forward difference formula. x f(x) 8.1 16.94410 8.3 17.56492 8.6 18.50515 8.7 18.82091 2. Approximate the value at x=8.4 using each of the polynomials obtained
1. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 respectively using Newton's forward difference formula. x f(x) 8.1 16.94410 8.3 17.56492 8.6 18.50515 8.7 18.82091 2. Approximate the value at x=8.4 using each of the polynomials obtained
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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1. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 respectively using Newton's forward difference formula.
| x | f(x) |
| 8.1 | 16.94410 |
| 8.3 | 17.56492 |
| 8.6 | 18.50515 |
| 8.7 | 18.82091 |
2. Approximate the value at x=8.4 using each of the polynomials obtained
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