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 one year ago
i need a bit of clarification on why d/dx is always <0 to a given equation will type it out in the thread. anyone help me?
 one year ago
i need a bit of clarification on why d/dx is always <0 to a given equation will type it out in the thread. anyone help me?

This Question is Closed

TedG
 one year ago
Best ResponseYou've already chosen the best response.1dx/dt= rx(1(x/k))h < 0 if h>rk/4

TedG
 one year ago
Best ResponseYou've already chosen the best response.1i need to get my head around why this is

goformit100
 one year ago
Best ResponseYou've already chosen the best response.0use the concept of maxima minin=ma...

TedG
 one year ago
Best ResponseYou've already chosen the best response.1it what way? also how would this be derived?

TedG
 one year ago
Best ResponseYou've already chosen the best response.1Because i'm answering a question on logistic growth with harvesting, have found steady states by setting rx(1(x/k))h=0 giving a quadratic.

TedG
 one year ago
Best ResponseYou've already chosen the best response.1i need to find a critical harvesting point, which i have read is h_c=rk/4, and i need to be able to derive it.

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0can you tell me your original function, and what each variable represents please?

TedG
 one year ago
Best ResponseYou've already chosen the best response.1i will attach a print screen of the question i think that would explain what everything is.

TedG
 one year ago
Best ResponseYou've already chosen the best response.1@TuringTest i have attached the question.

TedG
 one year ago
Best ResponseYou've already chosen the best response.1so for one solving rx(1(x/k))h=0 gives a quadratic, which gives the steady states. what i want to know, is, i have read that the critical value is h_c=rk/4 but how?

TedG
 one year ago
Best ResponseYou've already chosen the best response.1@TuringTest My assumption is maybe setting the discriminant of the quadratic to zero and rearranging. This does give h_c=rk/4. But i need to know that if this is correct why when h>h_c=rk/4 dx/dt is always 0.

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0hm... still thinking
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