There is considerable evidence to support the theory that for some species there is a minimum population size m with the property that the species will become extinct if the population falls below m. If m = 100 then such a population can be modelled by the following differential equation. dP = kP dt P 100 300 P If k > 0, for what values of P is the population increasing? (a) 100 < P < 300 (b) P > 300 (c) P < 100 (d) P > 100 (e) P < 100 andP > 300

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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4. There is considerable evidence to support the theory that for some species there is a
minimum population size m with the property that the species will become extinct if the
population falls below m. If m = 100 then such a population can be modelled by the
following differential equation.
dP
P
100
= kP(1
dt
300
P
If k > 0, for what values of P is the population increasing?
(a) 100 < P < 300 (b) P > 300 (c) P < 100 (d) P > 100
(e) P < 100 and P > 300
Transcribed Image Text:4. There is considerable evidence to support the theory that for some species there is a minimum population size m with the property that the species will become extinct if the population falls below m. If m = 100 then such a population can be modelled by the following differential equation. dP P 100 = kP(1 dt 300 P If k > 0, for what values of P is the population increasing? (a) 100 < P < 300 (b) P > 300 (c) P < 100 (d) P > 100 (e) P < 100 and P > 300
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