{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Winter 2005 Solutions - MATH 115 FIRST MIDTERM EXAM...

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

View Full Document Right Arrow Icon
MATH 115 — FIRST MIDTERM EXAM February 8, 2005 NAME: SOLUTION KEY INSTRUCTOR: SECTION NO: 1. Do not open this exam until you are told to begin. 2. This exam has 8 pages including this cover. There are 8 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 2 sides of a 3 by 5 note card. 7. If you use graphs or tables to obtain an answer, be certain to provide an explanation and sketch of the graph to make clear how you arrived at your solution. 8. Please turn off all cell phones and other sound devices, and remove all headphones. PROBLEM POINTS SCORE 1 12 2 12 3 16 4 15 5 8 6 5 7 14 8 18 TOTAL 100
Image of page 1

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

View Full Document Right Arrow Icon
2 1. (2 points each) Circle “True” or “False” for each of the following problems. Circle “True” only if the statement is always true. No explanation is necessary. (a) Every continuous function is differentiable. True FALSE (b) If f ( x ) > 0 for all x in the interval ( a, b ), then f is increasing on the interval ( a, b ). TRUE False (c) By definition, the instantaneous velocity is equal to a difference quotient. True FALSE (d) Every rational function has a vertical asymptote. True FALSE (e) If a function is not continuous at a point, then it is not defined at that point. True FALSE (f) If a function f is decreasing on an interval, then f is decreasing on that interval. True FALSE
Image of page 2
3 2. (7+2+3 points) (a) On the axes below, sketch a graph of a single, continuous, differentiable function , g , with all of the following properties.
Image of page 3

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

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

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern