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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 34e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 34e

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# Solution: Trapezoid Rule and Simpson’s Rule Consider the

ISBN: 9780321570567 2

## Solution for problem 34E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Problem 34E

Trapezoid Rule and Simpson’s Rule Consider the following integrals and the given values of n.a. Find the Trapezoid Rule approximation to the integral using n and 2n subintervals.b. Find the Simpson’s Rule approximation to the integral using 2n subintervals. It is easiest to obtain Simpson’s Rule approximations from the Trapezoid Rule approximations, as in Example 6.c. Compute the absolute errors in the Trapezoid Rule and Simpson’s Rule with 2n subintervals.

Step-by-Step Solution:

Problem 34ETrapezoid Rule and Simpson’s Rule Consider the following integrals and the given values of n.a. Find the Trapezoid Rule approximation to the integral using n and 2n subintervals.b. Find the Simpson’s Rule approximation to the integral using 2n subintervals. It is easiest to obtain Simpson’s Rule approximations from the Trapezoid Rule approximations, as in Example 6.c. Compute the absolute errors in the Trapezoid Rule and Simpson’s Rule with 2n subintervals.SolutionStep 1:Given integral is (a)Trapezoidal rule states that We have that a=0, b=, n=64.Therefore Divide interval [0, into n=64 subintervals of length with the following endpoints a=0,Now we just evaluate the function at those endpoints …….Finally, just sum up above values and multiply by Answer: 0.665766209170523.

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 34E 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. This full solution covers the following key subjects: rule, trapezoid, simpson, subintervals, Approximation. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 34E from 7.6 chapter was answered, more than 301 students have viewed the full step-by-step answer. The answer to “Trapezoid Rule and Simpson’s Rule Consider the following integrals and the given values of n.a. Find the Trapezoid Rule approximation to the integral using n and 2n subintervals.b. Find the Simpson’s Rule approximation to the integral using 2n subintervals. It is easiest to obtain Simpson’s Rule approximations from the Trapezoid Rule approximations, as in Example 6.c. Compute the absolute errors in the Trapezoid Rule and Simpson’s Rule with 2n subintervals.” is broken down into a number of easy to follow steps, and 70 words.

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