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
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
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6f73d71-b065-4085-81b6-8c01a4f51d2f%2F904dc7cb-6e35-4f94-b05b-3fea78c4f9bd%2F1ac79df_processed.jpeg&w=3840&q=75)
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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