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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Consider the error formulas.
(b − a)³
12n²
|E| ≤
|E| ≤
(a) Trapezoidal Rule
X
(b) Simpson's Rule
(b − a) 5
180n4
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
[²₁x² +
(42
Enter an exact number.
Need Help?
+ 3x) dx
Submit Answer
-[max [f"(x)]], a ≤ x ≤ b
-[max |ƒ(4)(x)|], a ≤x≤ b
Read It
Trapezoidal Rule
Simpson's Rule
Transcribed Image Text:Consider the error formulas. (b − a)³ 12n² |E| ≤ |E| ≤ (a) Trapezoidal Rule X (b) Simpson's Rule (b − a) 5 180n4 Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. [²₁x² + (42 Enter an exact number. Need Help? + 3x) dx Submit Answer -[max [f"(x)]], a ≤ x ≤ b -[max |ƒ(4)(x)|], a ≤x≤ b Read It Trapezoidal Rule Simpson's Rule
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