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Based on data given in table 1: k Xk Ук 0 2 1.5 Table 1 1 4 3.0 2 6 4.0 Estimate the following: a) y(7) using Newton's Backward Difference Interpolation. b) y(7) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 8 4.8 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)

Based on data given in table 1: k Xk Ук 0 2 1.5 Table 1 1 4 3.0 2 6 4.0 Estimate the following: a) y(7) using Newton's Backward Difference Interpolation. b) y(7) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 8 4.8 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)

Advanced Engineering Mathematics
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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Based on data given in table 1: k Xk Ук 0 2 1.5 Table 1 1 4 3.0 2 6 4.0 Estimate the following: a) y(7) using Newton's Backward Difference Interpolation. b) y(7) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 8 4.8 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)
Transcribed Image Text:Based on data given in table 1: k Xk Ук 0 2 1.5 Table 1 1 4 3.0 2 6 4.0 Estimate the following: a) y(7) using Newton's Backward Difference Interpolation. b) y(7) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 8 4.8 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)
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