PART B: Applications/ Problems [50 marks, 90 minutes] 33. Sketch the graph of a single continuous function that has the following characteristics. [4 marks] A(-4) = 8, f (-2) =-4, f(0) = 0 f(2) = -4, f (4 ) = 8 31. Water is pouring into a conical tank at a rate of 100 m / min. If the height and radius at the top of the tank are 10 m and 5 m respectively, find the rate at which the water level is rising at the instant when the height is 6 m. [6 marks] f' (x) > 0 for [-2, 0] and [2,4] and f' (x) 0 for [-3, -1] and [1,3] "(x) 3 32. A boy is flying a kite. The string of the kite is being let out at a rate of 10 m/ min which allows the kite to move horizontally at a rate of 6 m / min. At what rate is the height of the kite increasing if the kite is 80 m high and 60 m horizontally away from the boy? [6 marks]