1. A population of Siberian Inverted Lobsters resides in the Bering sea off the coast of Alaska. Each spring the population increases by 25%. To stem a rapid population increase (and make a profit), each summer the Alaskan Fisheries Board issues licenses to allow for exactly 10000 lobsters to be trapped and removed from the sea. (a) (2 marks) What recursive equation would be suitable to model pt the population of lobsters after t years. (b) (1 mark) Determine the equilibrium solution for your recursive equation in (a). (c) (3 marks) For each of the following starting populations of lobsters, assess the long term behaviour of the population. Don't just determine the value in the long run, but also the "direction" of the population (increases vs decreasing). 1. Po = 72000 2. Po = 40000 3. Po = 25 000

1. A population of Siberian Inverted Lobsters resides in the Bering sea off the coast of Alaska. Each spring the population increases by 25%. To stem a rapid population increase (and make a profit), each summer the Alaskan Fisheries Board issues licenses to allow for exactly 10000 lobsters to be trapped and removed from the sea. (a) (2 marks) What recursive equation would be suitable to model pt the population of lobsters after t years. (b) (1 mark) Determine the equilibrium solution for your recursive equation in (a). (c) (3 marks) For each of the following starting populations of lobsters, assess the long term behaviour of the population. Don't just determine the value in the long run, but also the "direction" of the population (increases vs decreasing). 1. Po = 72000 2. Po = 40000 3. Po = 25 000

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 9E

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