Consider f (x) = In (x), where x E [1,3]. a) Find the average value of the function on the given interval. Use your calculator for carrying out the integration, and give your answer correct to three decimal places. b) Find, correct to two decimal places, the value of c such that f (c) is the average value. c) Sketch and label the graph of f on the interval [1,3]. Show the coordinates of the endpoints correct to two decimal places. Then show the rectangle on the same diagram which has the same area as the area under the graph on [1,3]