last 3 26.81. Using composite trapezoidal rule with n =- 0.2z dx we obtain5 sub-intervals to estimate10xethe approximation2. What is the maximum possible absolute error if composite trapezoidal rule with n = 5 sub-intervals isused to estimate the above integral?3. How large should n be so that when composite trapezoidal rule with n sub-intervals is used toestimate the above integral, the maximum possible absolute error is less than 0.0001 ? n >26.84. Using composite Simpson's rule with n = 8 sub-intervals to estimate- 0.2z dx we obtain10xethe approximation5. What is the maximum possible absolute error if composite Simpson's rule with n = 8 sub-intervals isused to estimate the above integral?6. How large should n be so that when composite Simpson's rule with n sub-intervals is used to estimatethe above integral, the maximum possible absolute error is less than 0.0001 ? n >

Answered: Image /qna-images/answer/bc742909-03a3-4280-88df-65be008d1490.jpg

Answered: 26.8 Using composite Simpson's rule…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1) Calculate the area (A) of the limit domain by the equation curve y=1/x, x=(n-1), x=(x+1) and the axis. n>1 2) By using the Simpson method, show that A= 1/3*((1/(n-1))+(4/n)+(1/(n+1))) We will divide the interval [(n-1),(n+1)] into 2 sub-intervals of equal length. 3) Show that ¦E¦ = 4/15n5 where E is the error made in order 5.
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