Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1-X, and define the function f on [a, b] such that f(a) = f(b) = 1, f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval fa, b] is 3, then the approximation of I = f(x)dx using composite Simpson's rule with n 4 is: O 5/2 O 5/3 10/3 O 5

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 24E
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Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 =
b, with the step size h = x+1-X, and define the functionf on [a, b] such that f(a) =
f(b) = 1, f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval fa, b] is
3, then the approximation of I f(x)dx using composite Simpson's rule with n 4 is:
5/2
5/3
10/3
5
Transcribed Image Text:Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1-X, and define the functionf on [a, b] such that f(a) = f(b) = 1, f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval fa, b] is 3, then the approximation of I f(x)dx using composite Simpson's rule with n 4 is: 5/2 5/3 10/3 5
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