(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. 2. f(x)= 2at x = (0, 4] where n =4;

Given: fx=2x2 at x=0,4 where n=4 Simpson 13 rule:…

Answered: 2. f(x)= 2* at x = (0, 4] where n = 4;

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<150: fixed costs, $500; unit production cost, $25 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+25x+500,where 0<x<150. a.) What is the average cost C(x) per vest if x vests are produced in one day? b.) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema.
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