6²² Che following. 19 cos(x²) dx

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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I need a,b,c answer
Given.
19 cos(x²) dx
Do the following.
(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)
Tg =
M8 =
(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.)
IETI ≤
IEMI ≤
(c) How large do we have to choose n so that the approximations T₁ 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.)
nz
nz
for Tn
for Mn
Transcribed Image Text:Given. 19 cos(x²) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = M8 = (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.) IETI ≤ IEMI ≤ (c) How large do we have to choose n so that the approximations T₁ 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.) nz nz for Tn for Mn
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