The deer population of a national park has a natural growth rate of 4% per year. Each year the authroities allow 300 deer to be eliminated from the herd through hunting. a. Write a differential equation to model the deer population D(t) in the national park. b. If the initial number of deer in the national park is (i)6000, or (ii) 8000, using qualitiative methods, sketch on the same axes graphs of the solution D(t) in each case, clearly indicating what will happen to the population of deer as time goes on.
The deer population of a national park has a natural growth rate of 4% per year. Each year the authroities allow 300 deer to be eliminated from the herd through hunting. a. Write a differential equation to model the deer population D(t) in the national park. b. If the initial number of deer in the national park is (i)6000, or (ii) 8000, using qualitiative methods, sketch on the same axes graphs of the solution D(t) in each case, clearly indicating what will happen to the population of deer as time goes on.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The deer population of a national park has a natural growth rate of 4% per year. Each year the authroities allow 300 deer to be eliminated from the herd through hunting.
a. Write a differential equation to model the deer population D(t) in the national park.
b. If the initial number of deer in the national park is (i)6000, or (ii) 8000, using qualitiative methods, sketch on the same axes graphs of the solution D(t) in each case, clearly indicating what will happen to the population of deer as time goes on.
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