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Solved: Midpoint Rule, Trapezoid Rule and relative error

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 20E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 20E

Midpoint Rule, Trapezoid Rule and relative error Find the Midpoint and Trapezoid Rule approximations to using n =50 subintervals. Compute the relative error of each approximation.

Step-by-Step Solution:

SOLUTIONThe actual value of Step 1We have to approximate using both midpoint rule and trapezoidal rule by taking n=50.And then we have to compute the relative error for both the approximations.Step 2Mid point rule:The general midpoint rule isWhere the interval is and and are the midpoints for each interval.Thus for the...

Step 2 of 3

Chapter 7.6, Problem 20E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solved: Midpoint Rule, Trapezoid Rule and relative error

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