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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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
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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