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

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