The logistic difference equation for the population at time t, Pt, has the form Pess = P.[1 + k(1-. where k is the constant growth rate (k > 0) and M is the carrying capacity (the maximum population that can be sustained by the environment). a. Find a formula for AP; (the difference between the population at time t and time t + 1).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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1. The logistic difference equation for the population at time t, P, has the form
Peos = P[1 + k (1-).
P.[1 + k(1-#).
Pt+1
M
where k is the constant growth rate (k > 0) and M is the carrying capacity (the maximum
population that can be sustained by the environment).
a. Find a formula for AP; (the difference between the population at time t and time
t + 1).
hint: simplify your answer before moving on to part (b)
Transcribed Image Text:1. The logistic difference equation for the population at time t, P, has the form Peos = P[1 + k (1-). P.[1 + k(1-#). Pt+1 M where k is the constant growth rate (k > 0) and M is the carrying capacity (the maximum population that can be sustained by the environment). a. Find a formula for AP; (the difference between the population at time t and time t + 1). hint: simplify your answer before moving on to part (b)
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