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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5DE
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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
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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