A function y = f (x) is given by the following table. X 4 7 12 21 Y В A 61 84 343 a) Explain and Construct the divided difference table for the above data and find f(19.75). b) Find a Lagrange interpolating polynomial which passes through the above points. c) Compute f(19.75) by Lagrange interpolating polynomial and compare your result with the value obtained in (a).

A function y = f (x) is given by the following table. X 4 7 12 21 Y В A 61 84 343 a) Explain and Construct the divided difference table for the above data and find f(19.75). b) Find a Lagrange interpolating polynomial which passes through the above points. c) Compute f(19.75) by Lagrange interpolating polynomial and compare your result with the value obtained in (a).

Name: Subject: Numerical Analysis Put,A=26 , B=2.6 , C=5 A function y =f
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Description: Subject: Numerical Analysis Put,A=26 , B=2.6 , C=5 A function y =f (x) is given by the following table.X471221YВA6184343a) Explain and Construct the divided difference table for the above data and find f (19.75).b) Find a Lagrange interpolating p

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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