9.4 1. Using composite trapezoidal rule with n = 5 sub-intervals to estimate 10xe-0.6z da we obtain 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 0.00001 ? n > 9.4 4. Using composite Simpson's rule with n - 0.8z dz we obtain the = 8 sub-intervals to estimate 10xe 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 0.00001 ? n 2
9.4 1. Using composite trapezoidal rule with n = 5 sub-intervals to estimate 10xe-0.6z da we obtain 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 0.00001 ? n > 9.4 4. Using composite Simpson's rule with n - 0.8z dz we obtain the = 8 sub-intervals to estimate 10xe 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 0.00001 ? n 2
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
1-3
Transcribed Image Text:9.4
-0.6z dr we obtain
1. Using composite trapezoidal rule with n = 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 0.00001 ? n >
9.4
4. Using composite Simpson's rule with n =
10xe
0.6z dz we obtain the
8 sub-intervals to estimate
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 0.00001 ? n >
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