Consider the following table of function values. f(x) x f(x) 8.3 2.0 6.4 0.4 8.4 2.4 8.7 0.8 7.4 2.8 8.9 1.2 6.4 3.2 8.6 1.6 7.2 0.0 (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.) f(x) dx (b) Suppose it is known that -4 ≤ f(x) ≤ 1 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.) Submit Answer

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8.
Consider the following table of function values.
X
0.0
0.4
1.2
f(x) X f(x)
0.8 7.4 2.8 8.9
8.3 2.0 6.4
3.2
8.4 2.4 8.7
1.6 7.2
Submit Answer
6.4 3.2 8.6
(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.)
f(x) dx
(b) Suppose it is known that −4 ≤ f″(x) ≤ 1 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.)
Transcribed Image Text:8. Consider the following table of function values. X 0.0 0.4 1.2 f(x) X f(x) 0.8 7.4 2.8 8.9 8.3 2.0 6.4 3.2 8.4 2.4 8.7 1.6 7.2 Submit Answer 6.4 3.2 8.6 (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.) f(x) dx (b) Suppose it is known that −4 ≤ f″(x) ≤ 1 for all x. Estimate the error involved in the approximation in part (a). (Round your answer to four decimal places.)
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