x= (0,1) 1 Find the area bounded by the graph of f and y = x on the interval [0, ). 2 In(2) 2 1 4 (b) The bounded area in part (a) is a finite region. Consider the graph of the area bounded by the graph of f and y = - 17 x on the interval [0, ). Is the bounded area a finite region? 2 Yes No Now consider the graph of the area bounded by the graph of f and y = 2x on the interval [0, co). Is the bounded area a finite region? Yes No Determine the values of the slope m such that the line y = mx and the graph of f enclose a finite region on the interval [0, ). (Enter your answer using interval notation.) me (0,1) (c) Calculate the area of the bounded region in part (b) as a function of m. A = In(2) 2 m 2 X