# 007A Sample Midterm 2, Problem 4

Jump to navigation
Jump to search

Assume denotes the size of a population at time and that satisfies the equation:

Let Graph as a function of and identify all equilibria. That is, all points where

From Math Wiki

Revision as of 21:33, 11 November 2017 by MathAdmin (talk | contribs) (Created page with "<span class="exam"> Assume <math style="vertical-align: -5px">N(t)</math> denotes the size of a population at time <math style="vertical-align: 0px">t</math>...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Assume $N(t)$ denotes the size of a population at time $t$ and that $N(t)$ satisfies the equation:

- ${\frac {dN}{dt}}=3N{\bigg (}1-{\frac {N}{20}}{\bigg )}.$

Let $f(N)=3N{\bigg (}1-{\frac {N}{20}}{\bigg )},~N\geq 0.$ Graph $f(N)$ as a function of $N$ and identify all equilibria. That is, all points where ${\frac {dN}{dt}}=0.$