3. (a) Show that the following equation has a root between x = 2 and x = 3. In(x)=x-1.5 (b) Use Newton - Raphson method to find an approximate solution for the equation in part (a), with starting value of x = 2. Give your answer correct to 3 decimal places. [Hint: use a maximum of 4 iterations to get the correct result] (c) For the equation given byx+3-2e* = 0: (i) Use the iterative formula x+1 = 2e™" −3 to find an approximate root of the equation with starting value of x = 0, with a maximum of five iterations. Give your answer correct to 2 decimal places. (ii) Use an appropriate graphical method to find all approximate roots of the equation in (i), giving your answers correct to 1 decimal place.