(a) What is the exact value of e² da? Ső e² dx = | (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). = value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 88 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)
(a) What is the exact value of e² da? Ső e² dx = | (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). = value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 88 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)
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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Transcribed Image Text:(a) What is the exact value of fe* da?
So e² dx
(b)
Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each.
value
error
(c)
Repeat part (b) with n = 4 (instead of n = 2).
value
error
LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2)
LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4)
86
(d)
For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by
calculating the ratios of the errors:
Error LEFT(2)/Error LEFT(4) =
Error RIGHT(2)/Error RIGHT(4) =
Error TRAP(2)/Error TRAP(4) =
Error MID(2)/Error MID(4) =
Error SIMP(2)/Error SIMP(4) =
(Be sure that you can explain in words why these do (or don't) make sense.)
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