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3) Evaluate numerically the derivative of f(x)= x.sin(x) - 1/x² at x = 0.7 with h = 0.01. Use the Richardson extrapolation method to complete the table given below. D(n,m) = D(n,m – 1) +| (D(n,m– 1) – D(n– 1,m– 1)) D(0,0) D(1,0) D(1,1) D(2,0) D(2,1) D(2,2) D(3,0) D(3,1) D(3,2) D(3,3)

3) Evaluate numerically the derivative of f(x)= x.sin(x) - 1/x² at x = 0.7 with h = 0.01. Use the Richardson extrapolation method to complete the table given below. D(n,m) = D(n,m – 1) +| (D(n,m– 1) – D(n– 1,m– 1)) D(0,0) D(1,0) D(1,1) D(2,0) D(2,1) D(2,2) D(3,0) D(3,1) D(3,2) D(3,3)

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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3) Evaluate numerically the derivative of f(x)= x.sin(x) - 1/x? at x = 0.7 with h = 0.01. Use the Richardson extrapolation method to complete the table given below. D(n, m) — D(n,т-1) +| |×(D(n,m – 1) – D(n – 1,m – 1)) D(0,0) D(1,0) D(1,1) D(2,0) D(2,1) D(2,2) D(3,0) D(3,1) D(3,2) D(3,3)
Transcribed Image Text:3) Evaluate numerically the derivative of f(x)= x.sin(x) - 1/x? at x = 0.7 with h = 0.01. Use the Richardson extrapolation method to complete the table given below. D(n, m) — D(n,т-1) +| |×(D(n,m – 1) – D(n – 1,m – 1)) D(0,0) D(1,0) D(1,1) D(2,0) D(2,1) D(2,2) D(3,0) D(3,1) D(3,2) D(3,3)
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