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Unformatted text preview: M ATH 115 –F IRST M IDTERM E XAM October 9, 2007 NAME: INSTRUCTOR: SECTION NUMBER: 1. Do not open this exam until you are told to begin. 2. This exam has 9 pages including this cover. There are 9 questions. 3. Do not separate the pages of the exam. If any pages do become separated, write your name on them and point them out to your instructor when you turn in the exam. 4. Please read the instructions for each individual exercise carefully. One of the skills being tested on this exam is your ability to interpret questions, so instructors will not answer questions about exam problems during the exam. 5. Show an appropriate amount of work for each exercise so that the graders can see not only the answer but also how you obtained it. Include units in your answers where appropriate. 6. You may use your calculator. You are also allowed two sides of a 3 by 5 notecard. 7. If you use graphs or tables to obtain an answer, be certain to provide an explanation and sketch of the graph to show how you arrived at your solution. 8. Please turn off all cell phones and pagers and remove all headphones. PROBLEM POINTS SCORE 1 18 2 14 3 13 4 7 5 8 6 12 7 6 8 14 9 8 TOTAL 100 2 1. (3 points each. No partial credit.) The questions on this page are True or False. They do not require an explanation. For each question, circle your choice for the correct answer. Only answer True when the statement is ALWAYS True. (a) The function f ( x ) = e x x 2 1 is continuous on [2 , 5] . True False (b) Suppose g is a differentiable function on ( 1 , 1) with g (1) < and g ′ ( x ) > for x in ( 1 , 1) , then g ( x ) has a zero on the interval [ 1 , 1] . True False (c) If lim x → f ( x ) = lim x → + f ( x ) then f is continuous at x = 0 . True False (d) If x > and e xy − 2 = x 2 , then y = 2 x (1 + ln x ) ....
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This note was uploaded on 03/24/2009 for the course MATH 115 taught by Professor Staff during the Fall '05 term at University of MichiganDearborn.
 Fall '05
 Staff
 Math, Calculus

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