![subject](/tpl/images/cats/mat.png)
Mathematics, 18.06.2020 18:57 pbargy9551
(2 points) Another model for a growth function for a limited pupulation is given by the Gompertz function, which is a solution of the differential equation dPdt=cln(KP)P where c is a constant and K is the carrying capacity. (a) Solve this differential equation for c=0.05, K=1000, and initial population P0=100. P(t)= . Hint: Note that dPdt=cln(KP)P=−c(lnP−lnK)P and then use Separation of Variables with u-substitution in the integration step (or do this mentally). (b) Compute the limiting value of the size of the population. limt→[infinity]P(t)= . (c) At what value of P does P grow fastest? P= . Hint: Differentiate dPdt again with respect to t (implicitly) and use the first derivative test to find the value of P that gives a maximum in dPdt.
![ansver](/tpl/images/cats/User.png)
Answers: 1
![](/tpl/images/ask_question.png)
![](/tpl/images/ask_question_mob.png)
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 16:00
Plzzz i beg u so much asaaaap ! what is the slope of this line? enter your answer in the box.
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 21:00
Glenda makes an online purchase for picture frames for $12.95 each and formats of $5.89 each the site says it taxes paid by the customer or 6.5% of the total purchase price shipping charges are based on the
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:30
Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 00:00
What is the measure of each of the two angles formed by the bisector of the diagonal of a rhombus if the original angle measures 58 degrees?
Answers: 1
You know the right answer?
(2 points) Another model for a growth function for a limited pupulation is given by the Gompertz fun...
Questions
![question](/tpl/images/cats/istoriya.png)
History, 05.12.2019 02:31
![question](/tpl/images/cats/informatica.png)
Computers and Technology, 05.12.2019 02:31
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/himiya.png)
Chemistry, 05.12.2019 02:31
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/es.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 05.12.2019 02:31
![question](/tpl/images/cats/mat.png)
Mathematics, 05.12.2019 02:31
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/himiya.png)
Chemistry, 05.12.2019 02:31
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 05.12.2019 02:31
![question](/tpl/images/cats/geografiya.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 05.12.2019 02:31
![question](/tpl/images/cats/mat.png)
Mathematics, 05.12.2019 02:31