Exam1_Solutions_F09 - Math 115 First Midterm October 13,...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 115 — First Midterm October 13, 2009 Name: EXAM SOLUTIONS Instructor: Section: 1. Do not open this exam until you are told to do so. 2. This exam has 9 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 TI-92 (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. You are also allowed two sides of a 3 00 × 5 00 note card. 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 15 5 16 6 10 7 6 8 9 9 8 Total 100
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Math 115 / Exam 1 (October 13, 2009) page 2 1 . [12 points] For each problem below, circle all of the statements that MUST be true. (The three parts (a)–(c) are independent of each other. No explanations are necessary.) a . [5 points] Suppose f is an increasing differentiable function with domain ( -∞ , ) so that f (1) = 1 and f ( - 1) = - 1. f is linear. There is a number c so that f ( c ) = 0. lim x 1 f ( x ) = 1 lim x →∞ f ( x ) = f 0 (1) 0 b . [3 points] Suppose g ( t ) is the mass (in grams) of mold on a wedge of cheese in a refrigerator t days after it was abandoned. This mass grows exponentially as a function of time for two weeks, when it is finally thrown away. The graph of g is concave up. The continuous growth rate of g is less than the daily growth rate. The amount of time it takes for the mass of mold on the cheese to triple is 1.5 times the amount of time it takes for it to double. c . [4 points] If f ( x ) = g ( x ) h ( x ) and h (3) = 0 then The graph of f has a vertical asymptote at x = 3. 3 is not in the domain of f . f is not continuous on [ - 2 , 2]. lim x 3 f ( x ) does not exist.
Background image of page 2
Math 115 / Exam 1 (October 13, 2009) page 3 2 . [12 points] Suppose that the line tangent to the graph of f ( x ) at x = 3 passes through the points (1 , 2) and (5 , - 4).
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 9

Exam1_Solutions_F09 - Math 115 First Midterm October 13,...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online