(a) Find the approximate integral of the following function using Simpson's 1/3 ruleand (b) composite Simpson's 1/3 rules (use the indicated interval and the number ofsegments for each problem) (c) Compute also the Error of approximated integral foreach problem. Lastly, (d) determine the acceptable value of n if each function had toensure that the error of the method is 0.0001. 1f(x) = }7.at x = [0, 1] where n = 8;

Simpson's 1/3 rule is a part of numerical analysis. Simpson's 1/3 rule is used to find the integral…

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(a) Find the approximate integral of the following function using Simpson's 1/3 rule and (b) composite Simpson's 1/3

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

(a) Find the approximate integral of the following function using Simpson's 1/3 rule
and (b) composite Simpson's 1/3 rules (use the indicated interval and the number of
segments for each problem) (c) Compute also the Error of approximated integral for
each problem. Lastly, (d) determine the acceptable value of n if each function had to
ensure that the error of the method is 0.0001.

1
f(x) = }
7.
at x = [0, 1] where n = 8;

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