Given (xi, x2024) Vi = 0,...,n, where x0 = -1, x₁ = 0, x2 = 1, x3 = 2, ..., xn = n = 1. Write down the interpolating polynomial with the least degree when (a) n = 1 (b) n = 2 (c) n = 2024 (d) n = 5000
Given (xi, x2024) Vi = 0,...,n, where x0 = -1, x₁ = 0, x2 = 1, x3 = 2, ..., xn = n = 1. Write down the interpolating polynomial with the least degree when (a) n = 1 (b) n = 2 (c) n = 2024 (d) n = 5000
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:Given (xi, x2024) Vi
=
0,...,n, where x0 = -1, x₁ = 0, x2 =
1, x3 = 2, ..., xn = n = 1. Write down the interpolating polynomial with the
least degree when
(a) n = 1
(b) n = 2
(c) n = 2024
(d) n = 5000
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