Consider the integral below e'dr let t6 be the trapezoidal rule approximation to the integral with 6 equal subintervals let sg be the simpson's rule approximation to the integral with 6 equal subintervals. let ms be the midpoint approximation to the integral with 6 equal subintervals. you may use a calculator to perform the exponential and arithmetic operations in this . (a) find the approximations t6 and se and the corresponding errors er and es. give your answers correct to six decimal places. esl (b) determine upper bounds of the errors, as given by the formulas in the book. give your answers correct to six decimal places. c) how large do we have to choose n so that the approximations tn, mn and sn to the integral are accurate to within 0.1? give your answers as whole numbers (integers). (tn) (mn) (sn) n 2 n 2