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Refer to the following theorem and let f(x) = e. To answer parts a through d, assume that f'' is continuous on the interval [a, b] and that k is a real number such that f''(x) | sk, for all x in [a, b]. Th b (4x)². absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax= a. Find a Trapezoid Rule approximation to 1 Sex dx = Sext 0 dx using n = 40 subintervals. CHE b-a n k(b-a) 12 satisfies the inequality ET S-

Refer to the following theorem and let f(x) = e. To answer parts a through d, assume that f'' is continuous on the interval [a, b] and that k is a real number such that f''(x) | sk, for all x in [a, b]. Th b (4x)². absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax= a. Find a Trapezoid Rule approximation to 1 Sex dx = Sext 0 dx using n = 40 subintervals. CHE b-a n k(b-a) 12 satisfies the inequality ET S-

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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Refer to the following theorem and let f(x) = e. To answer parts a through d, assume that f'' is continuous on the interval [a,b] and that k is a real number such that f'(x)| ≤k, for all x in [a,b]. The b absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax= frex a. Find a Trapezoid Rule approximation to Sex dx a 0 (Round to six decimal places as needed.) Sex dx using n = 40 subintervals. 'b-a n satisfies the inequality ET S k(b-a) 12 -(4x)².
Transcribed Image Text:Refer to the following theorem and let f(x) = e. To answer parts a through d, assume that f'' is continuous on the interval [a,b] and that k is a real number such that f'(x)| ≤k, for all x in [a,b]. The b absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax= frex a. Find a Trapezoid Rule approximation to Sex dx a 0 (Round to six decimal places as needed.) Sex dx using n = 40 subintervals. 'b-a n satisfies the inequality ET S k(b-a) 12 -(4x)².
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