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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## 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.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online