10 10 UX. T10- M10= S10= Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET=

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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9 sin x dx. (Round your answers to six decimal places.)
(a) Find the approximations T10, M10, and S10 for
T10 =
M10 =
S10 =
Find the corresponding errors ET, Em, and Es. (Round your answers to six decimal places.)
ET =
EM =
Es =
(b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.)
JEMI <
|Esl <
(c) How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a) are accurate to within 0.00001?
for Tn
n =
for Mn
n =
for Sn
n =
Transcribed Image Text:9 sin x dx. (Round your answers to six decimal places.) (a) Find the approximations T10, M10, and S10 for T10 = M10 = S10 = Find the corresponding errors ET, Em, and Es. (Round your answers to six decimal places.) ET = EM = Es = (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.) JEMI < |Esl < (c) How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a) are accurate to within 0.00001? for Tn n = for Mn n = for Sn n =
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