MAC2233-PT4

MAC2233-PT4 - Ce = y kt ) 6) The number N of bacteria in a...

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Survey of Calculus MAC2233 Practice Test #4 1) Identify the correct sketch of the graph of : a) b) i) x e y = ______ ii) x e y - = ______ iii) x ln - = y ______ iv) x ln = y ______ c) d) 2) Solve for x: a) 4 = e x 2 ln b) 6 = 2 x - 1 c) 0 = 6 - e 1 - 2x d) 3 = 2 x 1 - x e) 3000 = ) 12 .07 + 1 1000( 12x f) 24 = e - 1 45 2x -
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3) Differentiate with respect to x: a) e x = y x 2 2 b) ) (2x ln = y 2 c) 2x x ln = y 2 d) 1 + e 1 - e ln = y x x e) e x = y x 2 2 f) e - 1 xe = y x x 4) If the average test score (in percent) of a group of math students at IMU is given by 1) + (3t ln 5 - 100 = p , where t is the time in months, find the rate at which the average test score was changing after half a year.
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5) A radioactive element has a half-life of 55 days. What percentage of the original sample is left after 115 days? (Hint: first determine the decay constant for the equation,
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Unformatted text preview: Ce = y kt ) 6) The number N of bacteria in a culture is given by N = 200 e kt , if N = 300, when t = 4 hours: i) Find k (to the nearest thousandth) ii) Determine approximately how long it will take for the number of bacteria to triple in size. iii) Find the rate of change at that time. 7) The Profits for Imtel Corp. were $45.3 million in 1990. The profits had grown to $66.7 million in the year 1995, and were growing in an exponential pattern. a) Find the Profit growth constant b) Predict the Profits for the year 2000 c) Determine the year, Profits reach a 100 million. d) Determine the current Marginal Profit, (i.e., for 1997)....
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This note was uploaded on 07/05/2010 for the course MATH 2240 taught by Professor Crespo during the Spring '09 term at SPSU.

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MAC2233-PT4 - Ce = y kt ) 6) The number N of bacteria in a...

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