Estimate the minimum number of subintervals to approximate the value of 7x+3 dx with an error of magnitude less than 2x 10* using -4 a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule. The minimum number of subintervals using the Trapezoidal Rule is (Round up to the nearest whole number.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Estimate the minimum number of subintervals to approximate the value of
7x + 3 dx with an error of magnitude less than 2x 10
- 4
using
a. the error estimate formula for the Trapezoidal Rule.
b. the error estimate formula for Simpson's Rule.
The minimum number of subintervals using the Trapezoidal Rule is
(Round up to the nearest whole number.)
Transcribed Image Text:3 Estimate the minimum number of subintervals to approximate the value of 7x + 3 dx with an error of magnitude less than 2x 10 - 4 using a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule. The minimum number of subintervals using the Trapezoidal Rule is (Round up to the nearest whole number.)
Expert Solution
Step 1

To estimate the error for the 037x+3dx with an error of magnitude less than 2×10-4 using

(a) Trapezoidal rule

(b) Simpson's rule.

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