Determine an n so that the trapezoidal rule will approximate the integral 12 En = - 8 dx 6+x with an error En satisfying En| ≤ 0.0004. The theoretical error bound for the Trapezoid rule is given by (b - a)³ 12n² where c is some point between a and b. It predicts that the desired accuracy will be achieved if the number of terms n is at least 9.93807989

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Determine an n so that the trapezoidal rule will approximate the integral
12
En = -
8 dx
6+x
with an error En satisfying |E| ≤ 0.0004.
The theoretical error bound for the Trapezoid rule is given by
(b − a)³
12n²
where c is some point between a and b. It predicts that the desired accuracy will be achieved if the number of terms
n is at least 9.93807989
Transcribed Image Text:Determine an n so that the trapezoidal rule will approximate the integral 12 En = - 8 dx 6+x with an error En satisfying |E| ≤ 0.0004. The theoretical error bound for the Trapezoid rule is given by (b − a)³ 12n² where c is some point between a and b. It predicts that the desired accuracy will be achieved if the number of terms n is at least 9.93807989
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