Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(a) Find the approximations \( T_{10} \), \( M_{10} \), and \( S_{10} \) for \(\int_{0}^{\pi} 10 \sin(x) \, dx\). (Round your answers to six decimal places.)
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Transcribed Image Text:(a) Find the approximations \( T_{10} \), \( M_{10} \), and \( S_{10} \) for \(\int_{0}^{\pi} 10 \sin(x) \, dx\). (Round your answers to six decimal places.)
(c) How large do we have to choose \( n \) so that the approximations \( T_n, M_n, \) and \( S_n \) to the integral in part (a) are accurate to within 0.00001? \[ \begin{align*} n &= \quad \text{for } T_n \\ n &= \quad \text{for } M_n \quad \textcolor{red}{\text{✘}} \\ n &= \quad \text{for } S_n \\ \end{align*} \]
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Transcribed Image Text:(c) How large do we have to choose \( n \) so that the approximations \( T_n, M_n, \) and \( S_n \) to the integral in part (a) are accurate to within 0.00001? \[ \begin{align*} n &= \quad \text{for } T_n \\ n &= \quad \text{for } M_n \quad \textcolor{red}{\text{✘}} \\ n &= \quad \text{for } S_n \\ \end{align*} \]
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