F09exam2 - 80 bacteria after 1 hour how many will there be after 100 minutes 1 3 Find the equation of the tangent line to the graph of 2 e xy = x y

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Name: November 6, 2009 Fall 2009 Math 113 Exam #2 1. An asteroid hits the Atlantic Ocean and creates an expanding circular wave. If the area enclosed by this wave increases at the rate of 200 km 2 /min, how fast is the diameter of the wave expanding when its radius is 20 km? 2. Suppose 10 bacteria are left to grow in a petri dish. At least for the ﬁrst few hours, the rate of population growth of this bacterial culture will be proportional to the size of the culture. If there are

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Unformatted text preview: 80 bacteria after 1 hour, how many will there be after 100 minutes? 1 3. Find the equation of the tangent line to the graph of 2 e xy = x + y at the point (0 , 2). 4. At what x values does the graph of the function f ( x ) = tan(1-x 2 ) have a horizontal tangent line? 2 5. Let y = x ln x . What is dy dx ? 6. Estimate (0 . 99) 9 using an appropriate linearization. 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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F09exam2 - 80 bacteria after 1 hour how many will there be after 100 minutes 1 3 Find the equation of the tangent line to the graph of 2 e xy = x y

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