?Find the approximations \(T_{n}, M_{n}\), and \(S_{n}\) for \(n=6\) and \(n=12\) . Then

Chapter 7, Problem 27

(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?

\(\int_{0}^{2} x^{4} d x\)

Equation  Transcription:

Text Transcription:

T_{n}, M_{n}

S_{n}

n = 6

n  =  12

 E_{r}, E_{M}

E_{s}

n

int_{0}^{2} x^{4} dx

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