t f(x) be a function tabulated over 4 points, as shown in the table below. Using a degree 3 Newton interpolating polynomial, obtain an approximation for f(2.22). Fill in the table below with the values of the Split Differences up to order 3, as seen in the video lessons. Then enter the value obtained as an approximation of f(2.22) using the Newton polynomial of
t f(x) be a function tabulated over 4 points, as shown in the table below. Using a degree 3 Newton interpolating polynomial, obtain an approximation for f(2.22). Fill in the table below with the values of the Split Differences up to order 3, as seen in the video lessons. Then enter the value obtained as an approximation of f(2.22) using the Newton polynomial of
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
Let f(x) be a function tabulated over 4 points, as shown in the table below. Using a degree 3 Newton interpolating polynomial, obtain an approximation for f(2.22). Fill in the table below with the values of the Split Differences up to order 3, as seen in the video lessons. Then enter the value obtained as an approximation of f(2.22) using the Newton polynomial of degree 3. Perform the calculations with 4 decimal places and rounding. Use comma as separator for fractional values (Ex: 3.145 instead of 3.145).
![x:
1
1.1
2.3
3.9
f(x): -1.55
2.36 3.11
2.19
Tabela das Diferenças Divididas:
Ordem 0
Ordem 1
Ordem 2
Ordem 3
Solução:
f(2.22) -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa4d00a1-67c0-4874-83ef-5979e2886af2%2F371cbb3e-5528-4e66-af78-377efd2acec5%2F3ql356_processed.png&w=3840&q=75)
Transcribed Image Text:x:
1
1.1
2.3
3.9
f(x): -1.55
2.36 3.11
2.19
Tabela das Diferenças Divididas:
Ordem 0
Ordem 1
Ordem 2
Ordem 3
Solução:
f(2.22) -
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