Question: 8. [-/1.51 Points] DETAILS Given. L 2 23 cos(x) dx Do the following. SESSCALCET2 6.5.017.MI. (a) Find the approximations Tg and Mg for the

8. [-/1.51 Points] DETAILS Given. L 2 23 cos(x) dx Do the following. SESSCALCET2 6.5.017.MI. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) T8 M8 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE (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 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.) for Tn n for Mn

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