Let f(x) = cos(x2). Use (a) the Trapezoidal Rule and (b) the Midpoint Rule to approximate the integral fol f(x) (176 with n = 8. Give each answer correct to six decimal places. T8 = Ms: (C) Use the fact that |f\"(x)| S 6 on the interval [0, 1] to estimate the errors in the approximations from part (a). Give each answer correct to six decimal places. Error in T8 = Error in M8 = (d) Using the information in part (c) and the error formulas, how large do we have to choose 12 so that the approximations Tn and Mn are accurate to within 0.00001? (Your answer must be a whole number.) ForTnzn= ForMn : n =