The size P(t) of a population at time t is modeled by the equation dP dt (a) In the long term, how big will the population be? (b) Under which condition will the population size shrink? (c) What is the population size when it is growing the fastest? (d) If P(0) = 20, determine P(t). (See Example 45 in Lecture 9 for an example of this kind.) (a) In the long term, the population will approach (b) The population size will shrink if P(t) > (c) The population size is growing the fastest when P(t) = (d) P(t) = Submit = 2500P - 5P².
The size P(t) of a population at time t is modeled by the equation dP dt (a) In the long term, how big will the population be? (b) Under which condition will the population size shrink? (c) What is the population size when it is growing the fastest? (d) If P(0) = 20, determine P(t). (See Example 45 in Lecture 9 for an example of this kind.) (a) In the long term, the population will approach (b) The population size will shrink if P(t) > (c) The population size is growing the fastest when P(t) = (d) P(t) = Submit = 2500P - 5P².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Problem 6 (not yet completed)
The size P(t) of a population at time t is modeled by the equation
(a) In the long term, how big will the population be?
(b) Under which condition will the population size shrink?
(c) What is the population size when it is growing the fastest?
(d) If P(0) = 20, determine P(t).
(See Example 45 in Lecture 9 for an example of this kind.)
(a) In the long term, the population will approach
(b) The population size will shrink if P(t) >
(c) The population size is growing the fastest when P(t) =
(d) P(t) =
Submit
dP
dt
= 2500P
5P².
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