Kayla Murray: Created page with " Assume $N(t)$ denotes the size of a population at time $t$ ..."

2017-11-12T05:27:06Z

Created page with " Assume <math style="vertical-align: -5px">N(t)</math> denotes the size of a population at time <math style="vertical-align: 0px">t</math>..."

New page

Assume  <math style="vertical-align: -5px">N(t)</math>  denotes the size of a population at time  <math style="vertical-align: 0px">t</math>  and that  <math style="vertical-align: -5px">N(t)</math>  satisfies the equation:

::<math>\frac{dN}{dt}=3N\bigg(1-\frac{N}{20}\bigg).</math>

 Let  <math style="vertical-align: -16px">f(N)=3N\bigg(1-\frac{N}{20}\bigg),~N\ge 0.</math>  Graph  <math style="vertical-align: -5px">f(N)</math>  as a function of  <math style="vertical-align: 0px">N</math>  and identify all equilibria. That is, all points where  <math style="vertical-align: -15px">\frac{dN}{dt}=0.</math>
<hr>
[[007A Sample Midterm 2, Problem 4 Solution|'''Solution''']]

[[007A Sample Midterm 2, Problem 4 Detailed Solution|'''Detailed Solution''']]

[[007A_Sample_Midterm_2|'''Return to Sample Exam''']]

007A Sample Midterm 2, Problem 4 - Revision history

Kayla Murray: Created page with " Assume N(t) denotes the size of a population at time t..."

Kayla Murray: Created page with " Assume $N(t)$ denotes the size of a population at time $t$ ..."