How large should n be to guarantee that the Trapezoidal Rule approximation to [₂ (−zª + 16x³ – 72x² − 2x − 3)dz is accurate to within 0.001. 2 n = How large should n be to guarantee that the Simpsons Rule approximation to [" (−zª + 16x³ – 72x² – 2x − 3)dz is accurate to within 0.001. 2 n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
How large should n be to guarantee that the Trapezoidal Rule approximation to [₂ (−zª + 16x³ – 72x² − 2x − 3)dz is accurate to within 0.001. 2 n = How large should n be to guarantee that the Simpsons Rule approximation to [" (−zª + 16x³ – 72x² – 2x − 3)dz is accurate to within 0.001. 2 n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for 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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![### Problem Statement
How large should \( n \) be to guarantee that the Trapezoidal Rule approximation to
\[
\int_{2}^{6} (-x^4 + 16x^3 - 72x^2 - 2x - 3) \, dx
\]
is accurate to within 0.001.
\[
n = \underline{\text{}}
\]
How large should \( n \) be to guarantee that the Simpsons Rule approximation to
\[
\int_{2}^{6} (-x^4 + 16x^3 - 72x^2 - 2x - 3) \, dx
\]
is accurate to within 0.001.
\[
n = \underline{\text{}}
\]
**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%2F831589b4-5a0a-4072-b07c-b0f5f32736ed%2Fb13b03c2-b382-444f-9e95-0bf954e18c44%2F3crug5_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
How large should \( n \) be to guarantee that the Trapezoidal Rule approximation to
\[
\int_{2}^{6} (-x^4 + 16x^3 - 72x^2 - 2x - 3) \, dx
\]
is accurate to within 0.001.
\[
n = \underline{\text{}}
\]
How large should \( n \) be to guarantee that the Simpsons Rule approximation to
\[
\int_{2}^{6} (-x^4 + 16x^3 - 72x^2 - 2x - 3) \, dx
\]
is accurate to within 0.001.
\[
n = \underline{\text{}}
\]
**Hint:** Remember your answers should be whole numbers, and Simpson’s Rule requires even values for \( n \).
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