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3. Given the table of values, find the equation of the function: -9 2 -10 -7 4 11 26

3. Given the table of values, find the equation of the function: -9 2 -10 -7 4 11 26

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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3. Given the table of values, find the equation of the function: Y -9 1 -10 -7 4 11 6. 26
Transcribed Image Text:3. Given the table of values, find the equation of the function: Y -9 1 -10 -7 4 11 6. 26
Expert Solution
Step 1

The interpolation techniques are used to establish the functional relationship between any two arbitrary variables.

 

Newton's forward interpolation formula is uses the formula below to perform the interpolation.

y(x)=y0+pΔy0+p(p-1)2!⋅Δ2y0+p(p-1)(p-2)3!⋅Δ3y0+p(p-1)(p-2)(p-3)4!⋅Δ4y0+..., where, p=x-x0h.

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