This print-out should have 34 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 10.0 points Find the interval(s) where f(x) = 2- =13-x - 5r + 2 is concave up. 1. (-20, - 7). (1, 20 ) which of the following is the graph of f"? 2. (-5-1) 1. 3. ( -1, -!) 4. (-20, =). (1, 30 ) 5. (-20, -1). (30) 002 10.0 points Find all values of or at which the graph of 2. ' + 6r +7 has a point of inflection. 1. = = 0, 12 2. = = 0, -12 3. : = -6 3. 4. I = 0, 4 5. 1 = -4 6. 1 = 6 003 10.0 points When the graph of f is3. 5. 4. 004 10.0 points If f is increasing and its graph is concave 005 (part 1 of 2) 10.0 points up on (0, 1), which of the following could be The emergent velocity of a liquid flowing from the graph of the derivative, f', of f? a hole in the bottom of a tank is 1 = /2gh where g is the acceleration due to gravity 1. (32 ft/s') and h is the depth of the liquid in the tank. a) Find the rate of change of + with respect to h when h = 11 ft. Answer in units of ft/s. 006 (part 2 of 2) 10.0 points b) What is the rate when h = 3 ft? Answer in units of ft/s. 007 10.0 points 2. At a sand and gravel plant, sand is falling F(x) off a conveyor and onto a conical pile at the rate of 14 ft /min. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when it is 11 ft high? Answer in units of ft/min. 008 10.0 pointsAs a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at a rate 010 10.0 points that is proportional to its surface area; L.e., If a snowball melts so that its surface area decreases at a rate of 1 cm /min, find the dV - = -K . S rate at which the diameter decreases when the diameter is 32 cm. where 5 = 4ar2. Find the rate of decrease of the radius. 1. cm/min 1. KX 2. - cm/min 2 2. -4K 3. cm/min 3. -2KX cm/min 4. -3.K 5. 1 5. - cm/min 6. -2K 011 10.0 points 7. -K On which interval (s) is 8. None of these /(x) = 8+23-5 9. -AKX decreasing? 10. -KX 1. (-80, 0 ) 009 10.0 points The top of 25-foot ladder is sliding down a 2. (-1, 1 ) vertical wall at a constant rate of 3 feet per minute. 3. (-00, -1), (0, 1) Find the rate of change of the distance between the bottom of the ladder and the wall when the top of the ladder is 7 feet from 4. (0, 00 ) the ground. 5. (-1, 0), (1, 00) 1. - feet per minute 6. (-00, -1), (1, 60) 2. 24 feet per minute 21 012 10.0 points 4. - feet per minute 25 Find the rate at which the surface area of feet per minute a cube is changing with respect to its side length a when r = 4 cm. feet per minute 1. rate = 8 em /em2. rate = 32 em /em 3. none of them 3. rate = 27 em /em 4. A and B only 4. rate = 48 em /cm 5. B and C only 5. rate = 36 em-/cm 6. A only 013 10.0 points 7. A and Conly Recently, Stewart drove the 120 kms from 8. all of them Austin to San Antonio, leaving at 12noon and arriving in SA at 1:30pm. He stayed briefly and then started back. The GPS system in 014 10.0 points his car recorded his distance from Austin and A car is given a push down the roller-coaster the time elapsed. It plotted these accurately at Six Flags. If it travels a distance to scale on the following graph: 8(t) = 61 + 512 king in f seconds, how long does it take for the car's 120 velocity to reach 76 ft/sec? 1. 6 seconds 2. 7 seconds 3. 9 seconds 4. 5 seconds 20 ..... 5. 8 seconds 12:30 1:00 1:30 2:00 015 (part 1 of 3) 10.0 points distance travelled being plotted on the y-axis A certain function f is given by the graph and time elapsed on the r-axis where 1 unit in y-direction = 10 kms and 1 unit in r-direction = 10 minutes. Consider the following statements: A. His average speed between 1:10pm and 1:20pm was more than 120 kms/hr. B. At 12:50pm he was stationary momen- ...I... tarily. C. At 1:00pm he was accelerating. Which of these are correct? 1. Bonly 2. Conly(i) What is the value of lim f(x) 1. limit = -1 2. limit does not exist 3. limit = 3 4. limit = 1 5. limit = -3 016 (part 2 of 3) 10.0 points (ii) What is the value of lim f(x)? 1. limit = -1 2. limit = 1 3. limit = -3 4. limit does not exist 5. limit = 3 017 (part 3 of 3) 10.0 points (iii) What is the value of lim (x)? 34-2 1. limit = -3 2. limit = 1 3. limit does not exist 4. limit = 3 5. limit = -1 018 10.0 points Determine if 37 - 5r lim