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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41c4a4a3-0105-4167-b545-c16e09348d84%2F8a44010b-e5ac-47aa-9148-dd6f0d440cea%2F2guxn0yk_processed.jpeg&w=3840&q=75)
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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