a) Use Simpson's Rule, with n = 6, to approximate the integral f9e-4 dx. S6 2) The actual value of f9e-4 dx = 0 The error involved in the approximation of part (a) is Es=f9e-4da-S6 =
a) Use Simpson's Rule, with n = 6, to approximate the integral f9e-4 dx. S6 2) The actual value of f9e-4 dx = 0 The error involved in the approximation of part (a) is Es=f9e-4da-S6 =
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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Question
![(a) Use Simpson's Rule, with n=6, to approximate the integral f9e-4 dx.
S6 =
(b) The actual value of f9e-4 dx =
(c) The error involved in the approximation of part (a) is
Es=f9e-4 dx - S6 =
=0
-0
The value of K = max f(4) (x)| on the interval [0, 1] = 0
(d) The fourth derivative f(4)(x) =
(e) Find a sharp upper bound for the error in the approximation of part (a) using the Error Bound Formula Es <
K(b-a)
1804
(f) Find the smallest number of partitions n so that the approximation S, to the integral is guaranteed to be accurate to within 0.0001.
n =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8fabc15-e5db-480c-94d9-e42b67b656a8%2F1c949564-c8a4-46bb-88f5-c4c2801a9241%2Fo5gc1f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Use Simpson's Rule, with n=6, to approximate the integral f9e-4 dx.
S6 =
(b) The actual value of f9e-4 dx =
(c) The error involved in the approximation of part (a) is
Es=f9e-4 dx - S6 =
=0
-0
The value of K = max f(4) (x)| on the interval [0, 1] = 0
(d) The fourth derivative f(4)(x) =
(e) Find a sharp upper bound for the error in the approximation of part (a) using the Error Bound Formula Es <
K(b-a)
1804
(f) Find the smallest number of partitions n so that the approximation S, to the integral is guaranteed to be accurate to within 0.0001.
n =
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