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Simpson's 1/3 rule, with n = 4; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a). 21.1 Evaluate the following integral: #/2 (6 + 3 cos x) dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) single application of Simpson's 1/3 rule; (e) multiple-application

Simpson's 1/3 rule, with n = 4; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a). 21.1 Evaluate the following integral: #/2 (6 + 3 cos x) dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) single application of Simpson's 1/3 rule; (e) multiple-application

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Look at all the images. Problem 21.1. Ignore part (g). Make sure to calculate the true relative
percent errors for each part.

 

Simpson's 1/3 rule, with n = 4; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a).
Transcribed Image Text:Simpson's 1/3 rule, with n = 4; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a).
21.1 Evaluate the following integral: #/2 (6 + 3 cos x) dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) single application of Simpson's 1/3 rule; (e) multiple-application
Transcribed Image Text:21.1 Evaluate the following integral: #/2 (6 + 3 cos x) dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) single application of Simpson's 1/3 rule; (e) multiple-application
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