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4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28

4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28

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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4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28
Transcribed Image Text:4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28
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