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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 54RE
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For ony a <b, ohy f: [dsb] → IR and any n ≥ 1 d RIGHT (f. n)-f(x)da | ≤ Used=0,b=2 and Show that f(x) = for | SIMPA (BN) - f(xidx | ≤ max (b-a)5 180n4 XETaby where RIGHT(fin) is the right hand Riemann sum with n equal intervale and SIMP(f. n) is approximation of $ f(x) Using Simpson's rule with n eral intervals max x € [0, 2] - 1²/2 You may take generals Le Y 1 (b-d) ² max 1/1/ e nxe [d₂b] | f/(x) | ≤ 1/1/201 -1/2 < 1/2 If'(x)) (iv) |f)(x))
Transcribed Image Text:For ony a <b, ohy f: [dsb] → IR and any n ≥ 1 d RIGHT (f. n)-f(x)da | ≤ Used=0,b=2 and Show that f(x) = for | SIMPA (BN) - f(xidx | ≤ max (b-a)5 180n4 XETaby where RIGHT(fin) is the right hand Riemann sum with n equal intervale and SIMP(f. n) is approximation of $ f(x) Using Simpson's rule with n eral intervals max x € [0, 2] - 1²/2 You may take generals Le Y 1 (b-d) ² max 1/1/ e nxe [d₂b] | f/(x) | ≤ 1/1/201 -1/2 < 1/2 If'(x)) (iv) |f)(x))
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