A wildlife refuge is stocked with 60 antelope and it can support at most 600 antelope. If 4 years later, the antelope population is 120, find a formula for the antelope population after t years.

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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where M, C, and a are constants, and t is the number of years since the refuge was stocked. Find the numerical values of the constants "M", "C", and "a". Show all reasoning in detail. Write a formula for y(t), with the numerical values of the constants plugged in - and the arithmetic worked out. Your answer should be in the form "'y(t) = Please answer those its not graded, thanks
A wildlife refuge is stocked with 60 antelope and it can support at most 600 antelope. If 4 years later, the antelope
population is 120, find a formula for the antelope population after t years.
Treat the growth of the antelope population by a logistic growth model, In which the number of antelope ("y") satisties
the differential equation
dy
= a y (M-y), the solution of which is
Mat
dt
1+ Ce"
Transcribed Image Text:A wildlife refuge is stocked with 60 antelope and it can support at most 600 antelope. If 4 years later, the antelope population is 120, find a formula for the antelope population after t years. Treat the growth of the antelope population by a logistic growth model, In which the number of antelope ("y") satisties the differential equation dy = a y (M-y), the solution of which is Mat dt 1+ Ce"
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