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?(a) Find the approximations \(T_{10}, M_{10}\) and \(S_{10}\) for \(\int_{0}^{\pi} \sin
Chapter 7, Problem 21(choose chapter or problem)
(a) Find the approximations \(T_{10}, M_{10}\) and \(S_{10}\) for \(\int_{0}^{\pi} \sin x d x\) and the corresponding errors \(E_{T}, E_{M},\) and \(E_{s}\)
(b) Compare the actual errors in part (a) with the error estimates given by (3) and (4).
(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?
Questions & Answers
QUESTION:
(a) Find the approximations \(T_{10}, M_{10}\) and \(S_{10}\) for \(\int_{0}^{\pi} \sin x d x\) and the corresponding errors \(E_{T}, E_{M},\) and \(E_{s}\)
(b) Compare the actual errors in part (a) with the error estimates given by (3) and (4).
(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?
ANSWER:Step 1 of 8
a)
Find the width of the 10 intervals:
Calculate 
The actual value is
