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Unformatted text preview: Math 105 — Second Midterm November 10, 2008 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. This exam has 11 pages including this cover. There are 11 problems. 3. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instructor when you hand in the exam. 4. Please read the instructions for each individual problem carefully. One of the skills being tested on this exam is your ability to interpret mathematical questions, so instructors will not answer questions about exam problems during the exam. 5. Show an appropriate amount of work (including appropriate explanation) for each problem, so that graders can see not only your answer but how you obtained it. Include units in your answer where that is appropriate. 6. You may use any calculator except a TI92 (or other calculator with a full alphanumeric keypad). However, you must show work for any calculation which we have learned how to do in this course. 7. If you use graphs or tables to find an answer, be sure to include an explanation and sketch of the graph, and to write out the entries of the table that you use. 8. Turn off all cell phones and pagers , and remove all headphones. Problem Points Score 1 8 2 10 3 9 4 10 5 8 6 6 7 4 8 15 9 8 10 13 11 9 Total 100 Math 105 / Exam 2 (November 10, 2008) page 2 1 . [8 points] x y (2,0) (4,6) The function f ( x ) A function f ( x ) is shown above, and graphs of various transformations of f ( x ) are shown in the figures below. Circle the one formula beneath each of the following graphs that best describes the transformation(s) of f(x). (a) (b) x y (1,0) (2,6) x y (2,0) (4,4) (i) f ( kx ), k > 1 (i) f ( kx ), k > 1 (ii) f ( kx ), 0 < k < 1 (ii) f ( kx ), 0 < k < 1 (iii) f ( kx ), k > 1 (iii) kf ( x ), k > 1 (iv) f ( kx ), 0 < k < 1 (iv) kf ( x ), 0 < k < 1 (c) (d) x y (8,6) (4,5) x y (6,1) (8,5) (i) af (2 x ) + b , a > 1, b > 1 (i) f ( x + 4) 6 (ii) af (2 x ) + b , 0 < a < 1, b > 1 (ii) f ( x 4) 1 (iii) af ( 1 2 x ) + b , a > 1, b > 1 (iii) f ( x + 4) 1 (iv) af ( 1 2 x ) + b , 0 < a < 1, b > 1 (iv) f ( x 4) 6 Math 105 / Exam 2 (November 10, 2008) page 3 2 . [10 points] For Thanksgiving, Jane is preparing a 15pound turkey to feed her family. The temperature, T , of the turkey h hours after it has been put in the oven is given by by T ( h ) = 350 310 e kh , where k is constant and T is measured in degrees Fahrenheit. Use this information to answer the following questions. Show all work and remember to include units in your answer whenever appropriate....
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This note was uploaded on 01/28/2012 for the course MATH 105 taught by Professor Rhea during the Fall '08 term at University of Michigan.
 Fall '08
 Rhea
 Math

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