(al Use the Midpoint Rule, with n = 4, to approximate the integral fo Te Ed. M 0.75123 (Round your answers to six decimal places ) (bl Compute the value of the definite integral in part (a] using your calculator, such as MATH 9 on the TIB3/84 or 2ND 7 on the Ti-89. [ Te > de = 6.20354 (c) The error involved in the approximation of part (a) is Em = S Te de - M. = 0.1349 (d) The second derivative f" (x) = 4xo(-x*(2))-20"(-x (2)) The value of A = max [f"(a) | on the interval (0, 4] = 2 (e) Find a sharp upper bound for the error in the approximation of part (a) using the Error Bound Formula | Ey| 0.3334 (where a and b are the lower and upper limits of integration, n the number of partitions used in part a) (f) Find the smallest number of pad -jons n so that the approximation M,, to the integral is guaranteed to be accurate to within 0.001. 73