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Unformatted text preview: Math 105 — Second Midterm March 23, 2010 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 9 problems. Note that the problems are not of equal difficulty, so you may want to skip over and return to a problem on which you are stuck. 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 12 2 12 3 12 4 8 5 8 6 8 7 20 8 10 9 10 Total 100 Math 105 / Exam 2 (March 23, 2010) page 2 1 . [12 points] For each statement below, circle TRUE if the statement is always true. Otherwise circle FALSE. Justification is not expected for these problems, and no partial credit will be given. a . [2 points] If t > 0 then (log t ) 3 = 3log t . True False b . [2 points] The graph of ln( x ) has a horizontal asymptote. True False c . [2 points] An investment that earns a nominal annual interest rate of r % compounded monthly has an effective annual interest rate greater than r %. True False d . [2 points] The period of the tangent function is π . True False e . [2 points] An angle of 1 degree is larger than an angle of 1 radian. True False f . [2 points] The function f ( x ) = sin( x ) x 2 + 1 is an odd function. True False Math 105 / Exam 2 (March 23, 2010) page 3 2 . [12 points] You do not have to show work for these problems. However, if your answer is incorrect, work you have decided to show will be used to determine partial credit. All answers should be exact and fully simplified....
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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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