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Shortcut for the Trapezoid Rule Prove that if you have

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

Solution for problem 58AE 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 58AE

Shortcut for the Trapezoid Rule

Prove that if you have M(n)and T(n)(a Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals), then T(2n) = (T(n) + M(n))/2.

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

A Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals.

Step2

Prove that

Step3

 The Midpoint Rule is the approximation of

+-------+]

The Trapezoidal  Rule is the approximation of

2+-------+]

We can divide the interval [a,b] into 2n equally spaced , we get

+-------+

Step 2 of 3

Chapter 7.6, Problem 58AE is Solved
Step 3 of 3

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

This full solution covers the following key subjects: rule, Approximation, trapezoid, shortcut, midpoint. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 58AE from chapter: 7.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Shortcut for the Trapezoid Rule Prove that if you have M(n)and T(n)(a Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals), then T(2n) = (T(n) + M(n))/2.” is broken down into a number of easy to follow steps, and 29 words. Since the solution to 58AE from 7.6 chapter was answered, more than 297 students have viewed the full step-by-step answer.

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