Do the following with the given information. 13 cos ( * 2 ) dx (a) Find the approximations 7 and M for the given integral. (Round your answer to six decimal places.) Tg = 11.730327 Mg = 11.773059 (b) Estimate the errors in the approximations 7: 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.) 1ETI S (c) How large do we have to choose n so that the approximations 7, 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 x for Tn n 2 x for My