o P(t) = P(0)et

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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The rate of change of the population of deer is proportional to the population at a given time. Let P(t) be the number of deer in the
population, where t is measured in years.
Use differential equations to find the general solution for P(t), where P(0) is the initial population and r is the rate of growth.
o P(t) =
○
P(0)et + C
O P(t) = ert
○ P(t) = ret
o P(t) = P(0)ert
Transcribed Image Text:The rate of change of the population of deer is proportional to the population at a given time. Let P(t) be the number of deer in the population, where t is measured in years. Use differential equations to find the general solution for P(t), where P(0) is the initial population and r is the rate of growth. o P(t) = ○ P(0)et + C O P(t) = ert ○ P(t) = ret o P(t) = P(0)ert
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