How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x² 2x - 1) dx is accurate to within 0.1. 5 n =
How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x² 2x - 1) dx is accurate to within 0.1. 5 n =
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
![**How large should \( n \) be to guarantee that the Trapezoidal Rule approximation to**
\[
\int_{-5}^{-1} \left( -x^4 - 12x^3 - 30x^2 - 2x - 1 \right) dx
\]
**is accurate to within 0.1.**
\[ n = \text{[Blank space for answer]} \]
**How large should \( n \) be to guarantee that the Simpson's Rule approximation to**
\[
\int_{-5}^{-1} \left( -x^4 - 12x^3 - 30x^2 - 2x - 1 \right) dx
\]
**is accurate to within 0.1.**
\[ n = \text{[Blank space for answer]} \]
**Hint:** Remember your answers should be whole numbers, and Simpson's Rule requires even values for \( n \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd76112a2-3370-45d7-a044-1f0297120ded%2F2091ecd4-b48d-44ad-bbcc-6a6ae702f1ba%2Fxwsaa7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**How large should \( n \) be to guarantee that the Trapezoidal Rule approximation to**
\[
\int_{-5}^{-1} \left( -x^4 - 12x^3 - 30x^2 - 2x - 1 \right) dx
\]
**is accurate to within 0.1.**
\[ n = \text{[Blank space for answer]} \]
**How large should \( n \) be to guarantee that the Simpson's Rule approximation to**
\[
\int_{-5}^{-1} \left( -x^4 - 12x^3 - 30x^2 - 2x - 1 \right) dx
\]
**is accurate to within 0.1.**
\[ n = \text{[Blank space for answer]} \]
**Hint:** Remember your answers should be whole numbers, and Simpson's Rule requires even values for \( n \).
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