Multiple Choice: [12 Marks] lik. Circle the interval(s) where f *(x) is positive. 1. Considering the following graph of fix). a) (-infinity. 0). (2.4) b) (-infinity, 1). (3. 4.5) c) (1. 3). (4. 4.5) d) (1. 3) (2.4)03.2).(4. 4.5) w. Circle the intervals) where f "(x) is negative. a) (-infinity. 2). (3. 6) b) (0. 2). (4. 4.5). (4 5. 6) () (-infinity, 1). (3. 4.5). (5. 6) d) (-infinity, -3), (4.5. 6) v. Which s valueis) correspond a) None ( 0&4 d) 0 vi. Which x value(s) correspond to local minimums. ") -infinity b)286 9 2 i. Circle the interval(s) where f *(x) is positive. 2. At a local max um point f '(x) = 0 a) (-infinity, 1). (3. 4.5) b) (-infinity, inifinity) a) never c) always c) (-3, 5) d) (-infinity, 0), (2. 4) . If fYx) = 0. then the point (x. "(x)) is an extreme point. il. Circle the interval(s) where f "(x) is negative. a) never by sometimes c) always a) (0, 2). (4, 4.5), (4.5, 6) b) (-infinity, -3), (4.5, 6) c) (-infinity, 1). (3, 4.5). (5,6) d) (-inifinity, -3). (5, infinity) 4. Iffyx) = 0 and f"(x) 4 ('(x)>0 for -4 0 for x 2 Application 15. A cylindrical chemical storage tank with a capacity of 950m' is going to be constructed in a warehouse that is 1 Im by 14m with a height of 10m. The specifications call for the case to be 14. Given the function fix) = 4x' - 36x find the following: (Round to 1 decimal place) made of sheet metal that costs $90/m', the top to be made from sheet metal that costs $45/m' and a) The x and y intercepts [K/U: 2 Marks] the wall to be made of sheet metal that costs $80/m'. If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank? [8 Marks] b) The local maximums and minimums [A: 2 Marks] () Find any points of inflections [A: 2 Marks] d) Graph the function [C: 2 Marks]