1: (a) Find the approximations Tm, Mm, and Sm for] 5 sin(x) dx. (Round your answers to six decimal places.) 0 Tm = 9917618 .I Mm : 10 041242 ,, : Find the corresponding errors .EIn EM, and ES. (Round your answers to six decimal places.) Er= 0082382 J E. :_x E. :x (b) Compare the actual errors in part (a) with the error estimates found by using the smallest possible values for K in the theorem about error bounds for trapezoidal and midpoint rules and the theorem about error bound for Simpson's rule.(Round your answers to six decimal places.) IETI : IEMI S 0.064596 |ES| 5 0000850 ,1 (c) Using the values of Kfrom part (b), how large do we have to choose 11 so that the approximations T", M", and S" to the integral in part (a) are accurate to within 0.00001? Fur M". n = v For s. n = x