m31examf03

m31examf03 - Math 31 Final Exam Fall 2003 Instructions: 1.

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31 Final Exam Fall 2003 Instructions: 1. Put your final answers in the boxes and SHOW ALL WORK  on the test. No credit will be given for correct answers  without supporting work. 2.   Read each problem carefully and follow the instructions. 3.  The exam contains 30 problems.       Each problem is worth 6 points. 4.  Give exact answers except when instructed otherwise                              (e.g. 1/3 instead of 0.3333333 and  π  instead of 3.14, etc.). 5.  You must use calculus when instructed to do so and for all                               maximization and minimization problems. No credit will be given for any solution found by trial and error. 6.   Sign the Honor Pledge: I pledge that I have neither given nor received any unauthorized aid on this exam:  _______________________________________________________________________ 1. Given the function ( 29 ( 29 sin 1 g x x = - (a) Find the linear approximation to ( 29 g x at 1 a = . (b) Use the linear approximation to ( 29 g x at 1 a = to approximate ( 29 sin 0.94 . 2. A certain radioactive substance decays exponentially such that a 500 gram sample decays to 180 grams in 26 days. (a) Construct a function formula that expresses the number of grams remaining, N , as a function of time, t , measured in days. (b) How long will it take for the original sample to decay to 110 grams? Give your answer to 2 decimal places. 3. Solve the equation for x . Give your answer correct to 2 decimal places. 4 8 21 x = 4. Without graphing , find the equations of all vertical and horizontal asymptotes , if any, for the given function. YOU MUST SHOW YOUR WORK! 1
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This note was uploaded on 04/27/2010 for the course MATH 231 taught by Professor Staff during the Fall '06 term at UNC.

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m31examf03 - Math 31 Final Exam Fall 2003 Instructions: 1.

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