Consider the following table of function values. X 0.0 7.4 2.0 8.3 0.4 0.8 1.2 1.6 f(x) X f(x) 3.2 8.9 2.4 8.6 8.7 2.8 7.6 8.6 3.2 8.4 8.9 (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.) 1³ Jo f(x) dx (b) Suppose it is known that -5 ≤ f"(x) ≤ 2 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.)
Consider the following table of function values. X 0.0 7.4 2.0 8.3 0.4 0.8 1.2 1.6 f(x) X f(x) 3.2 8.9 2.4 8.6 8.7 2.8 7.6 8.6 3.2 8.4 8.9 (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.) 1³ Jo f(x) dx (b) Suppose it is known that -5 ≤ f"(x) ≤ 2 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.)
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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