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a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 5.05 i. Approximate f'(0.8) using 5-points difference formula. ii. Estimate the f (0.4) by using 3-points forward difference formula. iii. Is the 3-points forward difference formula appropriate to estimatef (1.0). State the reason.

a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 5.05 i. Approximate f'(0.8) using 5-points difference formula. ii. Estimate the f (0.4) by using 3-points forward difference formula. iii. Is the 3-points forward difference formula appropriate to estimatef (1.0). State the reason.

Advanced Engineering Mathematics
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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a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 | 5.05 i. Approximate f'(0.8) using 5-points difference formula. ii. Estimate the f (0.4) by using 3-points forward difference formula. iii. Is the 3-points forward difference formula appropriate to estimatef (1.0). State the reason.
Transcribed Image Text:a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 | 5.05 i. Approximate f'(0.8) using 5-points difference formula. ii. Estimate the f (0.4) by using 3-points forward difference formula. iii. Is the 3-points forward difference formula appropriate to estimatef (1.0). State the reason.
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