26.8 Using composite Simpson's rule with n = 8 sub-intervals to estimate 10xe - 0.2= dx we obtain the approximation What is the maximum possible absolute error if composite Simpson's rule with n = 8 sub-intervals is used to estimate the above integral? How large should n be so that when composite Simpson's rule with n sub-intervals is used to estimate the above integral, the maximum possible absolute error is less than 0.0001 ? n >
26.8 Using composite Simpson's rule with n = 8 sub-intervals to estimate 10xe - 0.2= dx we obtain the approximation What is the maximum possible absolute error if composite Simpson's rule with n = 8 sub-intervals is used to estimate the above integral? How large should n be so that when composite Simpson's rule with n sub-intervals is used to estimate the above integral, the maximum possible absolute error is less than 0.0001 ? 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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Transcribed Image Text:26.8
1. Using composite trapezoidal rule with n =
- 0.2z dx we obtain
5 sub-intervals to estimate
10xe
the approximation
2. What is the maximum possible absolute error if composite trapezoidal rule with n = 5 sub-intervals is
used to estimate the above integral?
3. How large should n be so that when composite trapezoidal rule with n sub-intervals is used to
estimate the above integral, the maximum possible absolute error is less than 0.0001 ? n >
26.8
4. Using composite Simpson's rule with n = 8 sub-intervals to estimate
- 0.2z dx we obtain
10xe
the approximation
5. What is the maximum possible absolute error if composite Simpson's rule with n = 8 sub-intervals is
used to estimate the above integral?
6. How large should n be so that when composite Simpson's rule with n sub-intervals is used to estimate
the above integral, the maximum possible absolute error is less than 0.0001 ? n >
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