Difference between revisions of "009A Sample Midterm 1, Problem 2"
Jump to navigation
Jump to search
Kayla Murray (talk | contribs) (Created page with "<span class="exam"> ::<span class="exam">a) ::<span class="exam">b) {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |- | |- | :: |...") |
Kayla Murray (talk | contribs) |
||
| (18 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | <span class="exam"> | + | <span class="exam">Suppose the size of a population at time <math style="vertical-align: 0px">t</math> is given by |
| − | ::< | + | ::<math>N(t)=\frac{1000t}{5+t},~t\ge 0.</math> |
| − | |||
| + | <span class="exam">(a) Determine the size of the population as <math style="vertical-align: -1px">t\rightarrow \infty.</math> We call this the limiting population size. | ||
| − | + | <span class="exam">(b) Show that at time <math style="vertical-align: -4px">t=5,</math> the size of the population is half its limiting size. | |
| − | + | <hr> | |
| − | + | [[009A Sample Midterm 1, Problem 2 Detailed Solution|'''<u>Detailed Solution with Background Information</u>''']] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | | | ||
| − | + | [[File:9ASM1P2.jpg|600px|thumb|center]] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
[[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 18:38, 6 November 2017
Suppose the size of a population at time is given by
(a) Determine the size of the population as We call this the limiting population size.
(b) Show that at time the size of the population is half its limiting size.
Detailed Solution with Background Information
File:9ASM1P2.jpg
600px