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Use the Error Bound to find the least possible value of N for which Error(SN) ≤1x 10-9 in approximating 4e dz using the result that Error(SN) ≤ K4(b-a)5 180N4 where K is the least upper bound for all absolute values of the fourth derivatives of the function 4e on the interval [a, b].

Use the Error Bound to find the least possible value of N for which Error(SN) ≤1x 10-9 in approximating 4e dz using the result that Error(SN) ≤ K4(b-a)5 180N4 where K is the least upper bound for all absolute values of the fourth derivatives of the function 4e on the interval [a, b].

Advanced Engineering Mathematics
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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Use the Error Bound to find the least possible value of N for which Error(SN) ≤1x 10-9 in approximating 4e dz using the result that Error(SN) ≤ K4(b-a)5 180N4 where K is the least upper bound for all absolute values of the fourth derivatives of the function 4e on the interval [a, b]. N= Hint Hint: Remember that N must be an even integer when using Simpson's Rule.
Transcribed Image Text:Use the Error Bound to find the least possible value of N for which Error(SN) ≤1x 10-9 in approximating 4e dz using the result that Error(SN) ≤ K4(b-a)5 180N4 where K is the least upper bound for all absolute values of the fourth derivatives of the function 4e on the interval [a, b]. N= Hint Hint: Remember that N must be an even integer when using Simpson's Rule.
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