Resource 2- Rate of Change and Kinematics-solutions

Resource 2- Rate of Change and Kinematics-solutions -...

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Unformatted text preview: nguyen (jn9656) Resource 2: Rate of Change and Kinematics balasubramanya (1401111) 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 10.0 points At Memorial Hospital there were 571 births in 1986. In 1991, there were 526 births. Find the average rate of change. Correct answer:- 9 births / year. Explanation: The average rate of change was births years = 526- 571 1991- 1986 =- 9 in births/year. 002 (part 1 of 2) 10.0 points An open box is made from an 8 inch 9 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 ) = 72 x- 34 x 2 + 4 x 3 correct 2. V ( x ) = 144 x- 34 x 2 + 4 x 3 3. V ( x ) = 72 x + 34 x 2 + 4 x 3 4. V ( x ) = 72 x- 34 x 2 + 2 x 3 5. V ( x ) = 72 x- 34 x 2- 4 x 3 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 9- 2 x . Since the height of the box is x the volume will be V ( x ) = (length) (width) (height) = x (8- 2 x )(9- 2 x ) . Thus V ( x ) = 72 x- 34 x 2 + 4 x 3 cu ins 003 (part 2 of 2) 10.0 points What is the domain of V for a box that makes physical sense? 1. domain = (0 , 5) 2. domain = (0 , 4) correct 3. domain = (0 , 8) 4. domain = [0 , 4) 5. domain = (0 , 4] Explanation: Since all the dimensions in the expression V ( x ) = 2 x (4- x )(9- 2 x ) for the volume have to be positive for the box to make good physical sense, the domain of V is the solution set of the inequalities x > , 4- x > , 9- 2 x > . Consequently, domain = (0 , 4) . 004 (part 1 of 2) 10.0 points Evaluate function f ( x ) = 8 x 2- 5 x- 11 at a) x = 7; Correct answer: 346. Explanation: nguyen (jn9656) Resource 2: Rate of Change and Kinematics balasubramanya (1401111) 2 f (7) = 8(7) 2- 5(7)- 11 = 392- (35)- 11 = 346 005 (part 2 of 2) 10.0 points b) x = 5. Correct answer: 164. Explanation: f (5) = 8(5) 2- 5(5)- 11 = 200- 25- 11 = 164 006 10.0 points Given f ( x ) = 6 x 2 + 2 x , find f (3). 1. None of these. 2. 59 3. 62 4. 63 5. 60 correct 6. 64 Explanation: f ( x ) = 6 x 2 + 2 x , so f (3) = 6(3) 2 + 2(3) = 54 + 6 = 60 007 10.0 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. 50 correct 2. 40 3. 60 4. 100 5. 80 Explanation: 008 10.0 points The number of horsepower y required to over- come wind drag on a certain automobile is approximated by y = 0 . 005 s 2 + 0 . 004 s + 0 . 033 , s 100 where s is the speed in miles per hour....
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This note was uploaded on 05/03/2011 for the course PHYS 1301 taught by Professor Bala during the Spring '11 term at Texas A&M University, Corpus Christi.

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Resource 2- Rate of Change and Kinematics-solutions -...

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