26.8 10xe-0.2 de we obtain 25 1. Using composite trapezoidal rule with n = 5 sub-intervals to estimate 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 >

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 >
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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