How large should n be to guarantee that the Trapezoidal Rule approximation to 8 4 +22x³ - 144x² − 3x + 5) dx is accurate to within 0.1. n = 72 X How large should n be to guarantee that the Simpsons Rule approximation to √₁² (-2² +22x³ (-x¹ +22x³ - 144x² − 3x + 5) dx is accurate to within 0.1. n = 8 X 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
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How large should n be to guarantee that the Trapezoidal Rule approximation to
8
S (−xª + 22x³ − 144x² − 3x + 5) dx is accurate to within 0.1.
n = 72
X
How large should n be to guarantee that the Simpsons Rule approximation to
8
(−xª + 22x³ − 144x² − 3x + 5) dx is accurate to within 0.1.
n =
×
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 8 S (−xª + 22x³ − 144x² − 3x + 5) dx is accurate to within 0.1. n = 72 X How large should n be to guarantee that the Simpsons Rule approximation to 8 (−xª + 22x³ − 144x² − 3x + 5) dx is accurate to within 0.1. n = × Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
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