Given the following data: x 1.1 1.2 1.3 1.4 1.5 f(x) 0.6133 0.7822 0.9716 1.1814 1.4117 1. Show Newton’s Forward Difference Table 2. Determine the equation of the polynomial 3. Find f(1.25) and (1.37)

Given the following data: x 1.1 1.2 1.3 1.4 1.5 f(x) 0.6133 0.7822 0.9716 1.1814 1.4117 1. Show Newton’s Forward Difference Table 2. Determine the equation of the polynomial 3. Find f(1.25) and (1.37)

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

Given the following data:

x	1.1	1.2	1.3	1.4	1.5
f(x)	0.6133	0.7822	0.9716	1.1814	1.4117

1. Show Newton’s Forward Difference Table

2. Determine the equation of the polynomial

3. Find f(1.25) and (1.37)

4. Fit a curve using the following:

a. Grouped averages
b. Group of moments
c. Least squares principle

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