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
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2c0c5ef-82df-4004-87ca-796f166491fb%2F96c5c081-99ef-4c81-975f-d6387aff4bad%2F95pdvg_processed.png&w=3840&q=75)
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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