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  3. a) find the approximations t10, m10, and s10 for f

a) Find the approximations T10, M10, and S10 for from pi to 0 , 38sin(x)dx T10 = M10 = S10 = (Round your answers...

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Advance Math

a) Find the approximations T10,M10, and S10 for

from pi to 0 , 38sin(x)dx

T10=
M10=
S10=

(Round your answers to six decimal places.)


Find the corresponding errors ET,EM, andES. (Round your answers to six decimalplaces.)

ET=
EM=
ES=


(b) Compare the actual errors in part (a) with the error estimatesgiven by the Theorem about Error Bounds for Trapezoidal andMidpoint Rules and the Theorem about Error Bound for Simpson'sRule. (Round your answers to six decimal places.)

|ET|≤
|EM|≤
|ES|≤


(c) How large do we have to choose n so that theapproximations Tn,Mn, andSn to the integral in part (a) areaccurate to within 0.00001?

n=for Tn
n=for Mn
n=for Sn

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