Find the approximations T10, and S10 for ? 28 sin(x) dx. 0 (Round your answers to six decimal places.) T10 = S10 = (b) Calculate the error estimates given by the Theorem about Error Bounds for the Trapezoidal Rule and Simpson's Rule. (Round your answers to six decimal places.) |ET| ≤ |ES| ≤ (c) According to the Theorems on Error Bounds, how large do we have to choose n so that the approximations Tn, and Sn to the integral in part (a) are accurate to within 0.00001? n = for Tn n = for Sn
Find the approximations T10, and S10 for ? 28 sin(x) dx. 0 (Round your answers to six decimal places.) T10 = S10 = (b) Calculate the error estimates given by the Theorem about Error Bounds for the Trapezoidal Rule and Simpson's Rule. (Round your answers to six decimal places.) |ET| ≤ |ES| ≤ (c) According to the Theorems on Error Bounds, how large do we have to choose n so that the approximations Tn, and Sn to the integral in part (a) are accurate to within 0.00001? n = for Tn n = for Sn
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
Find the approximations T10, and S10 for
| ? | 28 sin(x) dx. |
| 0 |
(Round your answers to six decimal places.)
| T10 | = | |
| S10 | = |
(b) Calculate the error estimates given by the Theorem about Error Bounds for the Trapezoidal Rule and Simpson's Rule. (Round your answers to six decimal places.)
| |ET| | ≤ | |
| |ES| | ≤ |
(c) According to the Theorems on Error Bounds, how large do we have to choose n so that the approximations Tn, and Sn to the integral in part (a) are accurate to within 0.00001?
| n | = | for Tn | |
| n | = | for Sn |
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