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finalreview - Math 10A Final Exam Review Session Time:...

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Math 10A Final Exam Review Session Time: 6:30pm – 8:30pm Date: December 6 th , 2006 Location: Center 113 Basic Information for the Final Exam: The exam will consist of 8 questions, with multiple parts . You will be allowed a calculator on the exam, so please bring one. There is no restriction on what you can bring, but you will not need anything more powerful than a TI-83. You should bring a number two pencil. (You can bring more than one if you feel so inclined.) You are permitted a handwritten reference sheet on the exam (8.5 x 11 inches). You can put whatever you feel is important on it (see the rest of this document for ideas.) Please, do not bring anything more than this . Actually, also bring your student ID card , as we will be checking those at the exam. We reserve the right to place your backpacks in the front of the class. Also, don’t worry about bringing a blue book, as you will be able to write directly on the exam. The exam will be held Friday, December 8 th , 2006 from 7:00 – 10:00pm , in the following rooms: The test is designed to take about two hours. This means that you should have sufficient time to go back through your work and check your math. Remember, does your answer make sense? (Draw a picture/plug numbers in.) Do not cheat on this exam. During the midterms, there have been issues that have popped up. Cheating will be taken seriously and you will fail the course . So, please do not cheat. Also, solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10a/ some time after the exam so you can get a rough idea how you did (by Monday). Finally, grades should be posted on Tritonlink around December 18 th , if not sooner. Lecture/Time Room Eggers/9am PETER 108 Small/12pm PETER 110 Cioaba/1pm SOLIS 107 Stevens/4pm WLH 2001
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Math 10A Final Exam Review Outline 2 Sections 1.1: Functions and Change Know the formula for a linear function: y = mx + b , where m is the slope, b is y -int Given two points, know how to compute m . Know how to tell the difference between different lines (look at slopes/ y -int) Know what it means for a graph to be increasing/decreasing -ex. Is f ( x ) = sin( x ) increasing or decreasing on [- p /2, p /2]. Given a function, interpret its meaning -ex. If P ( x ) is the price of x units, what is the meaning of P -1 (200)? Sections 1.2 / 1.4: Exponential Functions / Logarithmic Functions Know the general exponential function: P = P 0 a t , where P 0 is the initial quantity, and a is the factor by which P changes when t increases by 1. Given two points on an exponential curve, find the equation -ex. f (1) = 12, f (3) = 108, find a formula for f ( t ) = Q 0 a t . -ex. The size of a bacteria colony grows exponentially as a function of time. If the size of the bacteria colony doubles every 3 hrs, how long will it take to triple? -ex. The fraction of a lake’s surface covered by algae was initially 0.42 and was halved each year since the passage of anti-pollution laws. How long after the passage of the law was only 0.07 of the lake’s surface covered with algae?
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finalreview - Math 10A Final Exam Review Session Time:...

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