'i. (16 points) Consider the Function f(:z:) = I\": 12:1:1'\"l it!) Find PM (hi Find F'iz) (c) Find the zeros of r). Hint: factor out I\": as your rst step. (d) Find the critical porintsorfzr) Hint: rewrite your derivative term from part (a) to have acommon denominator. (e) For your critical points found above classify each of them as singular or stationary points. (1') Find the inection points of f(:} using your answer from part [b] (5) Use the First Derivative Tat to classify each critical point found in part (d) as a local mini- murnjmaacinlum or neither. (h) Use the Second Derivative 'Iiast to classify the concavity of each inection point found in part (e). (i) Using all orfyour information. sketch the graph of rm] in the empty space below. Be sure to label your axes and label your tick marks. 2. (8 points] An open hour with a square base is constructed so that is has a volume of 64MB. The base needs to he rnadeout ofarnaterial that costs twice as much as the sides. What are the dimensions ofthe box' what are the dimensions of the box 31: and y (:1: being the width and depth of the square dimensions, and 3.! being the height of the box) which will minimize the cost of the hour