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4. Let S(h) denote the composite Simpson's rule approximation of f(x) dx with step 1, f(0.25) = 5, f(0.5) = 6, ƒ(0.75) size h, and suppose that f(0) f(1) = –1. -0.5, and b) Estimate the error | f(x) dx – S(0.25)

4. Let S(h) denote the composite Simpson's rule approximation of f(x) dx with step 1, f(0.25) = 5, f(0.5) = 6, ƒ(0.75) size h, and suppose that f(0) f(1) = –1. -0.5, and b) Estimate the error | f(x) dx – S(0.25)

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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4. Let S(h) denote the composite Simpson's rule approximation of f(x) dx with step = 1, f(0.25) = 5, ƒ(0.5) = 6, f(0.75) = -0.5, and size h, and suppose that f (0) f(1) = -1. 6, 7(.75) b) Estimate the error f (x). dx – S(0.25)
Transcribed Image Text:4. Let S(h) denote the composite Simpson's rule approximation of f(x) dx with step = 1, f(0.25) = 5, ƒ(0.5) = 6, f(0.75) = -0.5, and size h, and suppose that f (0) f(1) = -1. 6, 7(.75) b) Estimate the error f (x). dx – S(0.25)
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