Application (10 marks) 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a height of 4m. Determine the dimensions of the rectangle having a maximum area. (5 marks) 4m 12m7. A large steel fuel tank is cylindrical in shape. In order to be light enough to be towed by a truck, the total surface area of the cylinder must be only 350m2 Determine the dimensions of the tank that will maximize the volume. (5 marks) Surface Area Formula use: SA = 2ur2 + 2rrh Volume Formula use: V = Trzh hKnowledge and Understanding (10 marks) 1. Consider the following polynomial function graph of f (x) (use the letters as a guide) a) State the interval(s) over which f'(x) is positive. b) State the interval(s) over which f'(x) is negative. c) State the interval(s) over which f"(x) is positive. d) State the interval(s) over which f"(x) is negative. e) Which point(s) correspond to local minimums? B f) Which point(s) correspond to H global maximums? c G Ed F AV