Given. 7 cos(x?) dx Do the following. (a) Find the approximations T8 and Mg for the given integral. (Round your answer to six decimal places.) T8 = 6.316330 M8 = 6.339340 (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) |ET| < 0.054688 |EMI < 0.027344 (c) How large do we have to choose n so that the approximations Tn and Mn to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by +1 to estimate the maximum error.) v for Tn v for Mn n 2 188 n 2 133 Need Help? Read It Watch It Master It
Given. 7 cos(x?) dx Do the following. (a) Find the approximations T8 and Mg for the given integral. (Round your answer to six decimal places.) T8 = 6.316330 M8 = 6.339340 (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) |ET| < 0.054688 |EMI < 0.027344 (c) How large do we have to choose n so that the approximations Tn and Mn to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by +1 to estimate the maximum error.) v for Tn v for Mn n 2 188 n 2 133 Need Help? Read It Watch It Master It
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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Question
Transcribed Image Text:Given.
7 cos(x?) dx
Do the following.
(a) Find the approximations T8 and Mg for the given integral. (Round your answer to six decimal
places.)
T8 = 6.316330
M8 = 6.339340
(b) Estimate the errors in the approximations T8 and Mg in part (a). (Use the fact that the range of
the sine and cosine functions is bounded by +1 to estimate the maximum error. Round your answer to
seven decimal places.)
IET| < 0.054688
JEM| < 0.027344
(c) How large do we have to choose n so that the approximations Tn and Mn to the integral are
accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by
+1 to estimate the maximum error.)
n 2 188
for Tn
n 2 133
v for Mn
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