Resource Quiz 2

# Resource Quiz 2 - schroeder(cs39963 Resource 2 Rate of...

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Unformatted text preview: schroeder (cs39963) Resource 2: Rate of Change and Kinematics Balasubramanya (1401310) 1 This print-out should have 53 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 0.0 points At Memorial Hospital there were 678 births in 1985. In 1991, there were 620 births. Find the average rate of change. Correct answer:- 9 . 66667 births / year. Explanation: The average rate of change was births years = 620- 678 1991- 1985 =- 9 . 66667 in births/year. 002 (part 1 of 2) 0.0 points An open box is made from an 8 inch 12 inch rectangular piece of cardboard by cutting equal squares from the corners and turning up the sides as shown in the figure x x x x x x x x Determine the volume V of the box as a function of x . 1. V ( x ) = 96 x- 40 x 2- 4 x 3 2. V ( x ) = 96 x + 40 x 2 + 4 x 3 3. V ( x ) = 192 x- 40 x 2 + 4 x 3 4. V ( x ) = 96 x- 40 x 2 + 2 x 3 5. V ( x ) = 96 x- 40 x 2 + 4 x 3 correct Explanation: The length of one side of the base of the box is 8- 2 x , while the length of the other side of the base is 12- 2 x . Since the height of the box is x the volume will be V ( x ) = (length) (width) (height) = x (8- 2 x )(12- 2 x ) . Thus V ( x ) = 96 x- 40 x 2 + 4 x 3 cu ins 003 (part 2 of 2) 0.0 points WITHDRAWN 004 (part 1 of 2) 0.0 points Evaluate function f ( x ) = 9 x 2- 5 x- 7 at a) x =- 3; Correct answer: 89. Explanation: f (- 3) = 9(- 3) 2- 5(- 3)- 7 = 81- (- 15)- 7 = 89 005 (part 2 of 2) 0.0 points b) x = 8. Correct answer: 529. Explanation: f (8) = 9(8) 2- 5(8)- 7 = 576- 40- 7 = 529 006 0.0 points Given f ( x ) = 4 x 2 + 5 x , find f (2). 1. None of these. 2. 26 correct schroeder (cs39963) Resource 2: Rate of Change and Kinematics Balasubramanya (1401310) 2 3. 22 4. 30 5. 25 6. 27 Explanation: f ( x ) = 4 x 2 + 5 x , so f (2) = 4(2) 2 + 5(2) = 16 + 10 = 26 007 0.0 points The graph shown gives the weight of a certain person as a function of age. Find the age at which the person started an exercise program. 30 60 60 120 180 Age Weight 1. 40 2. 20 3. 60 4. 80 5. 30 correct Explanation: 008 0.0 points The number of horsepower y required to over- come wind drag on a certain automobile is approximated by y = 0 . 004 s 2 + 0 . 005 s + 0 . 022 , s 100 where s is the speed in miles per hour. Estimate the maximum speed of the car if the power required to overcome wind drag is not to exceed 10 horsepower. Correct answer: 49 . 4339 miles / hour. Explanation: . 004 s 2 + 0 . 005 s- . 022 = 10 4 s 2 + 5 s- 22 = 10000 4 s 2 + 5 s- 10022 = 0 a = 4 , b = 5 , c = 10022 s =- 5 radicalbig 5 2- 4(4)(- 10022) 2(4) =- 5 1 . 60377 10 5 8 - 50 . 6839 , 49 . 4339 ....
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Resource Quiz 2 - schroeder(cs39963 Resource 2 Rate of...

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