Thanks for your help HallsofIvy,
Once again this forum has been a great help! Your explanation was very good, particularly the part on powers being a "hierarchical system".
It's funny how things pop up; i have had Henley and Kleinberg's infinitesimal calculus on my amazon wish-list for a...
Hi all,
While reading through physics history book, i en counted an attempt to show the very basics of Leibniz notation; the following is shown:
If
s = (1/2)gt^2, then
s + ds = (1/2)g(t + dt)^2
s + ds = (1/2)gt^2 + gtdt + (1/2)gdt^2, then because of the first line
ds = gtdt +...
Thank you very much Hurkyl,
this was very helpful. I think i have it right...
(1/2)(N + A/N) = (N^2 + A)/(2N) = (Nx + A)/(x + N) for x=N. And if |x^2 - A| < |N^2 -A|, then (Nx + A)/(x + N) is a closer approximation then (N^2 + A)/(2N).
Now i am trying to see why (Nx + A)/(x + N) alternates...
Hi guys,
I am a 1st year Engineering/Maths student. I have recently started reading "journey through genius"; which so far is great! After reading chapter 3 on Archimedes i was very curious about how he approximated a lower and upper bound for sqrt(3). I looked at the translated proof in my...
I managed to solve it, after a few more hours :)
I just subbed in variables for the equilibria, rather than leave them in square root form. Taking the limit of t -> infinity showed population approaching the equilibrium value which made
P''(equilibrium_value) < 0
Homework Statement
Hi guys! I am trying to show the limiting population for this model:Homework Equations
P'(t) = P(S - P) + H
The harvesting, is actually immigration, so its a positive unknown. I have shown this before (without harvesting) by solving for P(t) using separation of variables...