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A wildlife refuge is stocked with 60 antelope and it can support at most 600 antelope. If 4 years later, the ante 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") sa he differential equation dy M = a y (M – y), the solution of which is y dt 1 + Ce-Mat,

A wildlife refuge is stocked with 60 antelope and it can support at most 600 antelope. If 4 years later, the ante 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") sa he differential equation dy M = a y (M – y), the solution of which is y dt 1 + Ce-Mat,

Calculus: Early Transcendentals
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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Treat the growth of the antelope population by a logistic growth model, in which the number of antelope (y) satisfies the equation shown in the image, where "M", "C", and "a" are constants, and "t" is the number of years since the refuge was stocked. Please write a formula for y(t), with the numerical values of the constants plugged in and arithmetic worked out. The answer should be in the form of "y(t)=___".

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") satisfies the differential equation dy M = a y (M – y), the solution of which is y dt — Мat 1 + Ce 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".
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") satisfies the differential equation dy M = a y (M – y), the solution of which is y dt — Мat 1 + Ce 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".
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