How large should n be to guarantee that the Trapezoidal Rule approximation to 6 (−x² +16x³. 16x³ — 72x² – 2x n = 73 2x − 3) dx is accurate to within 0.001. X How large should n be to guarantee that the Simpsons Rule approximation to 6 √₂² (-x² +16x³. 72x² – 2x – 3) dx is accurate to within 0.001.
How large should n be to guarantee that the Trapezoidal Rule approximation to 6 (−x² +16x³. 16x³ — 72x² – 2x n = 73 2x − 3) dx is accurate to within 0.001. X How large should n be to guarantee that the Simpsons Rule approximation to 6 √₂² (-x² +16x³. 72x² – 2x – 3) dx is accurate to within 0.001.
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
6
−x¹ + 16x³ – 72x² – 2x − 3) dx is accurate to within 0.001.
n =
73
n =
6
How large should n be to guarantee that the Simpsons Rule approximation to
-xª + 16x³ − 72x² – 2x − 3) dx is accurate to within 0.001.
X
8
X
Hint: Remember your answers should be a 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%2F0cf16e90-fcbc-4203-8042-8380c1f86e64%2F8o0xpiu_processed.png&w=3840&q=75)
Transcribed Image Text:How large should n be to guarantee that the Trapezoidal Rule approximation to
6
−x¹ + 16x³ – 72x² – 2x − 3) dx is accurate to within 0.001.
n =
73
n =
6
How large should n be to guarantee that the Simpsons Rule approximation to
-xª + 16x³ − 72x² – 2x − 3) dx is accurate to within 0.001.
X
8
X
Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
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