Given the following data. 1.5 1.6 1.7 1.8 1.9 2.0 f(x)| 1 |2.35 3.12 5.62 | 7.7 9.5 Estimate (a) f'(1.5) and f' (2) using the most suitable 3 point finite difference formulae with h = 0.1. (b) f"(1.8) using 5 point difference formula with h = 0.1.
Given the following data. 1.5 1.6 1.7 1.8 1.9 2.0 f(x)| 1 |2.35 3.12 5.62 | 7.7 9.5 Estimate (a) f'(1.5) and f' (2) using the most suitable 3 point finite difference formulae with h = 0.1. (b) f"(1.8) using 5 point difference formula with h = 0.1.
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
![Given the following data.
1.5
1.6
1.7
1.8
1.9 | 2.0
f(x)
1
2.35
3.12 5.62
7.7 9.5
Estimate
(a) f'(1.5) and f'(2) using the most suitable 3 point finite difference formulae with
h = 0.1.
(b) f"(1.8) using 5 point difference formula with h = 0.1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ed1d092-e59f-4361-a9a1-7b6f05b7bae5%2Fb5f6cf2e-c95d-404b-b204-5d140a1c009a%2F216q0oo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following data.
1.5
1.6
1.7
1.8
1.9 | 2.0
f(x)
1
2.35
3.12 5.62
7.7 9.5
Estimate
(a) f'(1.5) and f'(2) using the most suitable 3 point finite difference formulae with
h = 0.1.
(b) f"(1.8) using 5 point difference formula with h = 0.1.
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