6. Let f (3:) be a smooth function and consider the denite integral 3 I : ./i _f(:::) 01:1: Let N : 2D and :::k : 1 + kArr for k : i], . . . ,21) where A3: : {1.1. SilppOse the right Riemann sum for I is calculated as N Z \"33an : 7.56 1:21 and the left Riemann smn is 7': f(:k)A:II : 7.15 if 0 (a) (2 points) Is it possible for f(:1:) to be decreasing on the interval [1, 3]? Justify your answer. (b) (2 points) Determine the approximation TN( f ) of I given by the trapezoid rule with N = 20 subintervals of the interval [1, 3]. Justify your answer. ((3) (3 points) Let M be the maximum value of |f"(:r)| for a: E [1, 3]. If the true value of the integral I is 7.36, how large must M be? In other words, find a value m such that m S M. Justify your