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In one model of the changing population P(t) of a community, it is assumed that = - , where and are the birth and death rates, respectively. dB %3D (a) Solve for P(t) if dB/dt = k,P and dP/dt = k½P. (b) Analyze the case k1 > k2, k̟ = k2, and kı < k2.

In one model of the changing population P(t) of a community, it is assumed that = - , where and are the birth and death rates, respectively. dB %3D (a) Solve for P(t) if dB/dt = k,P and dP/dt = k½P. (b) Analyze the case k1 > k2, k̟ = k2, and kı < k2.

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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4. In one model of the changing population P(t) of a community, it is assumed that dP = dB – dB and dB are the birth and death rates, respectively. dD where dt dt dt dt (a) Solve for P(t) if dB/dt = kịP and dP/dt = k2P. (b) Analyze the case k1 > k2, ki = k2, and ki < k2.
Transcribed Image Text:4. In one model of the changing population P(t) of a community, it is assumed that dP = dB – dB and dB are the birth and death rates, respectively. dD where dt dt dt dt (a) Solve for P(t) if dB/dt = kịP and dP/dt = k2P. (b) Analyze the case k1 > k2, ki = k2, and ki < k2.
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