pai fiie by the deadline. 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 M dy = a y (M - y), the solution of which is dt 1 + Ce-Mat, 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 (as demonstrated in video lectures, class notes & posted HW Solutions) and write your answers in the spaces provided below. Write a formula for y(t), with the numerical values of the constants plugged in - anthe arithmetic worked out. Your answer should be in the form "y(t) =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Please answer it in details its not graded, thanks
pai fiie by the deadline.
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
M
dy
= a y (M - y), the solution of which is
dt
1 + CeMat,
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 (as demonstrated in video
lectures, class notes & posted HW Solutions) and write your answers in the spaces provided below. Write a formula for
y(t), with the numerical values of the constants plugged in - anthe arithmetic worked out. Your answer should be in
the form "y(t) =
Transcribed Image Text:pai fiie by the deadline. 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 M dy = a y (M - y), the solution of which is dt 1 + CeMat, 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 (as demonstrated in video lectures, class notes & posted HW Solutions) and write your answers in the spaces provided below. Write a formula for y(t), with the numerical values of the constants plugged in - anthe arithmetic worked out. Your answer should be in the form "y(t) =
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