Consider the error formulas. (b-a)³ JE S 127² (b-a)5 [max [f"(x)], a ≤x≤ b |E| < _[max |ƒ(4)(x)|], a ≤x≤b Simpson's Rule 1800 Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. dx (x - 1)² (a) Trapezoidal Rule 0.25 S Trapezoidal Rule (b) Simpson's Rule 0.08333 x 11/07/2023 07:11
Consider the error formulas. (b-a)³ JE S 127² (b-a)5 [max [f"(x)], a ≤x≤ b |E| < _[max |ƒ(4)(x)|], a ≤x≤b Simpson's Rule 1800 Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. dx (x - 1)² (a) Trapezoidal Rule 0.25 S Trapezoidal Rule (b) Simpson's Rule 0.08333 x 11/07/2023 07:11
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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Answer 2nd part in 10 minutes in the order to get positive feedback please
![Consider the error formulas.
(b-a)³
127²
(b-a)5
1800
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
11-
ES
JE S
[max If"(x)], a ≤x≤ b Trapezoidal Rule
[max f(4)(x)], a ≤x≤ b
dx
(x-1)²
(a) Trapezoidal Rule
0.25
i
(b) Simpson's Rule
0.08333
x
Simpson's Rule
11/07/2023 07:11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff585c19b-ef83-4b9a-93dd-0cb9fc8d5f5b%2F46c38c32-3754-4dc8-8cef-35c01c4cc4fb%2Fqiqev6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the error formulas.
(b-a)³
127²
(b-a)5
1800
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
11-
ES
JE S
[max If"(x)], a ≤x≤ b Trapezoidal Rule
[max f(4)(x)], a ≤x≤ b
dx
(x-1)²
(a) Trapezoidal Rule
0.25
i
(b) Simpson's Rule
0.08333
x
Simpson's Rule
11/07/2023 07:11
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