Hello, I am not too sure about finding error bounds for integral approximation or how to find n to obtain and an accurate approixmation within an error of .0001. Do the following with the given information.1S 17 cos(x²) dx(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)T8M8= 15.339658(b) Estimate the errors in the approximations Tg and Må in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Roundyour answer to seven decimal places.)8|ET| ≤ .0372537IEMI ≤ .0186272nz= 15.395539n z(c) How large do we have to choose n so that the approximations T and Mn to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions isbounded by ±1 to estimate the maximum error.)XXfor Tfor Mn

(a)Using Trapezoidal Approximation ():Let, The value of table for x and y…

Answered: Do the following with the given…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Hello, I am not too sure about finding error bounds for integral approximation or how to find n to obtain and an accurate approixmation within an error of .0001.

Do the following with the given information.
1
S 17 cos(x²) dx
(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)
T8
M8
= 15.339658
(b) Estimate the errors in the approximations Tg and Må 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.)
8
|ET| ≤ .0372537
IEMI ≤ .0186272
nz
= 15.395539
n z
(c) How large do we have to choose n so that the approximations T 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.)
X
X
for T
for Mn

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