Consider the following table of function values. X 23.36 0.0 0.4 0.8 f(x) X f(x) 6.7 2.0 7.5 7.2 2.4 6.9 7.7 2.8 8.7 1.2 7.6 3.2 7.8 1.6 7.6 (a) Use the Midpoint Rule with n = 4 and the given data to estimate the value of the integral. (Round your answer to two decimal places.) 1.3.² f(x) dx X (b) Suppose it is known that -5 ≤ f(x) ≤ 3 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.) 0.3413
Consider the following table of function values. X 23.36 0.0 0.4 0.8 f(x) X f(x) 6.7 2.0 7.5 7.2 2.4 6.9 7.7 2.8 8.7 1.2 7.6 3.2 7.8 1.6 7.6 (a) Use the Midpoint Rule with n = 4 and the given data to estimate the value of the integral. (Round your answer to two decimal places.) 1.3.² f(x) dx X (b) Suppose it is known that -5 ≤ f(x) ≤ 3 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.) 0.3413
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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