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Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2.5 3.5 4 y 0.6932 0.9163 1.0986 13672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x.(use 4 digit rounding)

Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2.5 3.5 4 y 0.6932 0.9163 1.0986 13672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x.(use 4 digit rounding)

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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Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2.5 3 3.5 4 y 0.6932 0.9163 1.0986 1.3672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x.(use 4 digit rounding)
Transcribed Image Text:Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2.5 3 3.5 4 y 0.6932 0.9163 1.0986 1.3672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x.(use 4 digit rounding)
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