hw 2 - of the population is 200 after 3 weeks N = Question...

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Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 2 Due date: Sept. 30 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 A model for the change in population size of the zooplankton species Daphnia galeata men- dota in Base Line Lake in Michigan is given by N ( t ) = N 0 e rt , where N ( t ) is the population size at time t , N 0 is the initial size of the population and r is the intrinsic rate of growth . a ) If the initial size of the population is 200 and the size of the population after one week is 250, Fnd the intrinsic rate of growth of this population. r = b ) If the size of the population is 2 . 5 times its initial size after 2 weeks, Fnd the intrinsic rate of growth of this population. r = c ) If the intrinsic rate of growth is 0 . 95, what was the size of the initial population if the size
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Unformatted text preview: of the population is 200 after 3 weeks ? N = Question 2 A sinusoidal function f has the following graph.-4-8-12-16 8 y x y = f ( x ) 4 8 4 12 16 20 24 2 Give a formula to deFne f . f ( x ) = Question 3 The activity level of mosquitoes over a swamp is measured by the number of mosquitoes by cubic meter. It is governed by a sinusoidal function. The maximum level of activity is a 19 :00 when there are about 10 mosquitoes by cubic meter and the lowest level is at 7 :00 when there are no mosquitoes by cubic meter. a ) ±ind the function f that governs the activity level of the population of mosquitoes as a function of the time t during the day. f ( t ) = b ) Draw the graph of the activity level of the population of mosquitoes as a function of the time....
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This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

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hw 2 - of the population is 200 after 3 weeks N = Question...

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