Do the following with the given information. 10 27 cos( * 2 ) dx (a) Find the approximations 7: and M for the given integral. (Round your answer to six decimal places.) T8 = 24.362986 Mo = 24.451739 (b) Estimate the errors in the approximations T and M 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.) LETI S .067572 X IEMI S . 135145 X (c) How large do we have to choose n so that the approximations T,, and M,, 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 2 208 x for In n 2 295 x for My