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].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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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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