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2) a) A table of values of a function g is given. Use Simpson's Rule to estimate f₁1.6 g(x)dx. x g(x) x g(x) 0.0 12.1 0.2 11.6 0.4 11.3 0.6 11.1 9219 1.0 12.2 1.2 12.6 1.4 13.0 1.6 13.2 0.8 11.7 b) If -5≤g (4) (x) ≤2 for 0≤ x ≤ 1.6, estimate the error involved in the approximation in part (a)

2) a) A table of values of a function g is given. Use Simpson's Rule to estimate f₁1.6 g(x)dx. x g(x) x g(x) 0.0 12.1 0.2 11.6 0.4 11.3 0.6 11.1 9219 1.0 12.2 1.2 12.6 1.4 13.0 1.6 13.2 0.8 11.7 b) If -5≤g (4) (x) ≤2 for 0≤ x ≤ 1.6, estimate the error involved in the approximation in part (a)

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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2) a) A table of values of a function g is given. Use Simpson's Rule to estimate So g(x)dx. 1.6 X g(x) x g(x) 0.0 12.1 1.0 12.2 0.2 11.6 1.2 12.6 0.4 11.3 1.4 13.0 0.6 11.1 1.6 13.2 0.8 11.7 b) If -5 ≤ g(4) (x) ≤ 2 for 0 ≤ x ≤ 1.6, estimate the error involved in the approximation in part (a)
Transcribed Image Text:2) a) A table of values of a function g is given. Use Simpson's Rule to estimate So g(x)dx. 1.6 X g(x) x g(x) 0.0 12.1 1.0 12.2 0.2 11.6 1.2 12.6 0.4 11.3 1.4 13.0 0.6 11.1 1.6 13.2 0.8 11.7 b) If -5 ≤ g(4) (x) ≤ 2 for 0 ≤ x ≤ 1.6, estimate the error involved in the approximation in part (a)
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