3. Given the following data: 0.1 0.2 0.3 0.4 f(x) -0.29004986 -0.56079734 -0.81401972 -0.10100000 (a) Present this data in a divided difference table. (b) Construct a Newton's interpolating polynomial of degree 3 using this table. (c) Approximate f(0.15) and f(0.28) using (b) above.
3. Given the following data: 0.1 0.2 0.3 0.4 f(x) -0.29004986 -0.56079734 -0.81401972 -0.10100000 (a) Present this data in a divided difference table. (b) Construct a Newton's interpolating polynomial of degree 3 using this table. (c) Approximate f(0.15) and f(0.28) using (b) above.
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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May you please answer letters a-c. Thank you!
Transcribed Image Text:3. Given the following data:
0.1
0.2
0.3
0.4
f(x) -0.29004986
-0.56079734
-0.81401972
-0.10100000
(a) Present this data in a divided difference table.
(b) Construct a Newton's interpolating polynomial of degree 3 using this table.
(c) Approximate f(0.15) and f(0.28) using (b) above.
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