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Math 1210-007 Midterm #1 Fall 2010 October 4th, 2010 Midterm #1: Limits & Derivatives Instructions: This exam is closed book, closed notes and closed homework. You may use a calculator to assist you with any arithmetic. It is not necessary to show your work for multiple choice questions, simply circle the letter corresponding to the correct answer. For all other questions, please show all of your work to the level of detail that is specified in the instructions for that particular problem. You MUST write your final answer in the space provided to receive full credit. You may turn in your exam and leave when you finish. Recommendation: You do not need to work on these problems in order. I would suggest first answering the ones you find the easiest. Then go back and work on the harder ones at the end. Also, if you finish early I would suggest double checking all of your work, just in case you made a few very simple mistakes. Name: ____________________________________ Math 1210-007 Midterm #1 Fall 2010 October 4th, 2010 Multiple Choice Section Directions: Please circle the letter corresponding to the correct answer. Each question is worth 5 points. [Picture of a graph] [There will be FIVE questions in the multiple choice section each of which asks about certain properties of a function that is graphed for you, but for which you are not given an explicit formula] --------------------------------------------------------------------------------------------------------------------- Free Response Section Directions: Show all of your work when answering these questions and write your final answer in the space provided. You do NOT need to simplify your answers algebraically unless the question specifically asks you to do so. Each question is worth 15 points. Most of the credit will be awarded for doing the calculus correctly and showing the appropriate steps. A correct final answer with no work supporting it will receive very few points!! You MUST write your final answer in the space provided to receive full credit! [There will be FIVE free response questions, some of which have multiple parts. There is a box next to each part of each question in which you will write your final answer.] Example: 1. Assume . Then Note: For the above example you would write your final answer in the box, but you need to show your work in the space below the question. In this case you would need to demonstrate that you know how to use the chain rule properly. Note: The above example would most likely represent one part of one question where you are asked to calculate several derivatives. The test should take the entire 50 minutes for most students. YOU MUST WRITE YOUR FINAL ANSWER IN THE BOX TO RECEIVE FULL CREDIT!!