# f09exam3 - ered that for each \$0.25 increase in the monthly...

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Name: Fall 2009 Math 113 Exam #3 Instructions: You have 55 minutes to complete this exam. You may consult one hand-written sheet of notes, but you may not use any other notes, books, or electronic devices (e.g. calculators, computers). 1. Evaluate the limit lim x 0 1 - cos x x 2 + x . 2. Find the maximum and minimum values, inﬂection points and asymptotes of y = ln( x 2 + 1) and use this information to sketch the graph. 1

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3. What is the absolute maximum value of f ( x ) = x 1 /x for x > 0? 4. A stock market analyst sold a monthly newsletter to 320 subscribers at a price of \$10 each. She discov-
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Unformatted text preview: ered that for each \$0.25 increase in the monthly price of the newsletter, she would lose 2 subscriptions. If she sets the price of the newsletters to bring in the greatest total monthly revenue, what will that revenue be? 2 5. Does log 3 x grow faster than, slower than, or at the same rate as log 10 x ? 6. Suppose the velocity of a particle is given by v ( t ) = 3 cos t + 4 sin t. If the particle starts (at time 0) at a position 7 units to the right of the origin, what is the position of the particle at time t ? 3...
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## This note was uploaded on 01/18/2012 for the course MATH 2250 taught by Professor Chestkofsky during the Fall '08 term at University of Georgia Athens.

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f09exam3 - ered that for each \$0.25 increase in the monthly...

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