2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) = 3, f(3) = 55 using (i) the Lagrange interpolation (ii) the Newton divided difference interpolation.
2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) = 3, f(3) = 55 using (i) the Lagrange interpolation (ii) the Newton divided difference interpolation.
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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Transcribed Image Text:2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) = 3, f(3) = 55
using
(i) the Lagrange interpolation
(ii) the Newton divided difference interpolation.
(b) Find the values of y at z = 21 and 2 = 28 from the following data:
x
20
23
26
29
y
0.3420
0.3907 0.4384
0.4848
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