?Find the approximations \(T_{n}, M_{n}\), and \(S_{n}\) for \(n=6\) and \(n=12\) . Then
Chapter 7, Problem 28(choose chapter or problem)
Find the approximations \(T_{n}, M_{n}\), and \(S_{n}\) for \(n=6\) and \(n=12\) . Then compute the corresponding errors \(E_{T}, E_{M}\), and \(E_{S}\) (You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when \(n\) is doubled?
\(\int_{1}^{4} \frac{1}{\sqrt{x}} d x\)
Equation Transcription:
Text Transcription:
T_{n}, M_{n}
S_{n}
n = 6
n = 12
E_{r}, E_{M}
E_{s}
n
int_{1}^{4} frac{1}{\sqrt{x}} dx
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