Shortcut for Simpson’s Rule Using the notation of the text, prove that for n ≥ 1.
Shortcut for Simpson’s Rule Using the notation of the text, prove that Solution:Step 1<img src="https://chart.googleapis.com/chart?cht=tx&chf=bg,s,FFFFFF00&chco=000000&chl=%5Cleft%28%7BUsing%5C+h%3D%5Cfrac%7Bb-a%7D%7B2n%7D%7D%5Cright%29">
We write the formula for different approximation methods as follows,Trapezoid Rule approximation
Trapezoid Rule approximation
Simpson’s Rule approximation S(2n) =
Step 2Finding the value of using the above approximations methods, we get = = S(2n)
Hence, it is proved that .
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 60AE from chapter: 7.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: notation, prove, rule, shortcut, simpson. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 60AE from 7.6 chapter was answered, more than 317 students have viewed the full step-by-step answer. The answer to “Shortcut for Simpson’s Rule Using the notation of the text, prove that for n ? 1.” is broken down into a number of easy to follow steps, and 16 words. 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.