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
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Chapter2: Second-order Linear Odes
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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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