11. [40.16 Points] DETAILS SCALCETQ 7.7.020. OHOO Submissions Used MY NOTES ASK YOUR TEACHER 2 (a) Find the approximations T10 and \"10 for] 17 EU" dx. [Round your answers to six decimal places.) 1 T10 \"10 = |:| (b) Estimate the errors in the approximations of part [a] using the smallest possible value for Kaccording to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) new : E w s E (c) Using the values ofK from part (b), how large do we have to choose :1 so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? Need Help? _ 10. [40.16 Points] DETAILS SCALCETB 7.7.019.MI. Oil 00 Submissions Used MY N DTES ASK YOUR TEACHER | Do the following with the given information. 1 f 13 cosxz) dx l] (a) Find the approximations T3 and M3 for the given integral. (Round your answer to six decimal places.) (b) Estimate the errors in the approximations Ta and M3 in part (a). (Use the fact that the range ofthe sine and cosine functions is bounded by :1 to estimate the maximum error. Round your answer to seven decimal places.) IETI |:| IEMI e |:| IA (c) How large do we have to choose n so that the approximations Tn 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.) Neee Help