1. function. Form a difference table from the following data and deduce that f(x) is a quadratic Use the table to find f(0). Use the Newton-Gregory forward interpolation formula based on x = 0 to find f(x). 2 3 f(x) 3.00 4.28 5.88 7.8 10.04

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
Form a difference table from the following data and deduce that f(x) is a
quadratic
function.
Use the table to find f(0).
Use the Newton-Gregory forward interpolation formula based on x = 0 to find
f(x).
2
3
4
f(x)
3.00
4.28
5.88
7.8
10.04
2.
Use an appropriate interpolation formula to estimate f(16.4) and f(23.5) from
the
following data table:
16
18
20
22
24
f(x)
261.3
293.7
330.0
372.2
422.3
Transcribed Image Text:1. Form a difference table from the following data and deduce that f(x) is a quadratic function. Use the table to find f(0). Use the Newton-Gregory forward interpolation formula based on x = 0 to find f(x). 2 3 4 f(x) 3.00 4.28 5.88 7.8 10.04 2. Use an appropriate interpolation formula to estimate f(16.4) and f(23.5) from the following data table: 16 18 20 22 24 f(x) 261.3 293.7 330.0 372.2 422.3
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