Estimate the minimum number of subintervals needed to approximate the value of . the Trapezoidal Rule. . Simpson's Rule. -5 (5x² + 7) dx with an error of magnitude less than 2
Estimate the minimum number of subintervals needed to approximate the value of . the Trapezoidal Rule. . Simpson's Rule. -5 (5x² + 7) dx with an error of magnitude less than 2
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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
Transcribed Image Text:Estimate the minimum number of subintervals needed to approximate the value of
a. the Trapezoidal Rule.
b. Simpson's Rule.
5
- 5
4
(5x² + 7) dx with an error of magnitude less than 2× 10
by
Expert Solution
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Step 1: Information
Given :
Interval is from -5 to 5
error of magnitude is less than
Use the error estimate formula for the Trapezoidal Rule
Now take derivative for .
Step by step
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