21.17 Develop a user-friendly computer program for the multiple- application version of Simpson's rule based on Fig. 21.13c. Test it by duplicating the computations from Example 21.5. 21.13 The function f(x) = 2e¯1.5x can be used to generate the fol- lowing table of unequally spaced data: x 0 0.05 0.15 0.25 0.35 0.475 0.6 f(x) 2 1.8555 1.5970 1.3746 1.1831 0.9808 0.8131 Evaluate the integral from a = 0 to b = 0.6 using (a) analytical means, (b) the trapezoidal rule, and (c) a combination of the trap- ezoidal and Simpson's rules; employ Simpson's rules wherever possible to obtain the highest accuracy. For (b) and (c), compute the percent relative error (ε,).

21.17 Develop a user-friendly computer program for the multiple- application version of Simpson's rule based on Fig. 21.13c. Test it by duplicating the computations from Example 21.5. 21.13 The function f(x) = 2e¯1.5x can be used to generate the fol- lowing table of unequally spaced data: x 0 0.05 0.15 0.25 0.35 0.475 0.6 f(x) 2 1.8555 1.5970 1.3746 1.1831 0.9808 0.8131 Evaluate the integral from a = 0 to b = 0.6 using (a) analytical means, (b) the trapezoidal rule, and (c) a combination of the trap- ezoidal and Simpson's rules; employ Simpson's rules wherever possible to obtain the highest accuracy. For (b) and (c), compute the percent relative error (ε,).

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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