(3) Consider the definite integral sin(rx) dx which is to be approximated using the composite Simpson's rule. (a) Determine the smallest value of n that will guarantee an approximation within an accuracy of 10-4. (b) Find the approximation of the integral using the n that you have obtained in part (a). (c) Find the actual error and determine if it is within the accuracy of 104. Explain your answer.
(3) Consider the definite integral sin(rx) dx which is to be approximated using the composite Simpson's rule. (a) Determine the smallest value of n that will guarantee an approximation within an accuracy of 10-4. (b) Find the approximation of the integral using the n that you have obtained in part (a). (c) Find the actual error and determine if it is within the accuracy of 104. Explain your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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