In an ecology experiment, a number of mosquitoes are placed in a container with water and vegetation. The population of mosquitoes, P, increases and can be modelled by the function P(t) = 24 × 40.384 t2 0, where t is the time, in days, since the mosquitoes were places in the container. (a) Find the number of mosquitoes: (i) initially placed in the container; (ii) in the container after 5 days. The maximum capacity of the container is 5000 mosquitoes. (b) Find the number of days until the container reaches its maximum capacity.

In an ecology experiment, a number of mosquitoes are placed in a container with water and vegetation. The population of mosquitoes, P, increases and can be modelled by the function P(t) = 24 × 40.384 t2 0, where t is the time, in days, since the mosquitoes were places in the container. (a) Find the number of mosquitoes: (i) initially placed in the container; (ii) in the container after 5 days. The maximum capacity of the container is 5000 mosquitoes. (b) Find the number of days until the container reaches its maximum capacity.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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