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O Find the approximations T10, M10, and S10 for 10 sin(x) dx. (Round your answers to six decimal places.)

O Find the approximations T10, M10, and S10 for 10 sin(x) dx. (Round your answers to six decimal places.)

Advanced Engineering Mathematics
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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(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.)
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? \[ \begin{align*} n &= \quad \text{for } T_n \\ n &= \quad \text{for } M_n \quad \textcolor{red}{\text{✘}} \\ n &= \quad \text{for } S_n \\ \end{align*} \]
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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