Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Suppose a population grows according to a logistic model with initial population 1000 and carrying 10,000. If the population grows to 2500 after one year, what will the population be after another three years?
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Clarissa Noh
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 9
Differential Equations
Section 4
Models for Population Growth
University of Nottingham
Idaho State University
Boston College
Lectures
13:37
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.
33:32
03:59
Suppose population grows a…
19:40
Solve the logistic differe…
02:19
Suppose that the town of G…
14:50
it's there. So when you right here. So we're gonna use the pft equation to get 10,000 all over one plus 10,000 minus 1000 over 1000 times eats and negative Katie. Then we just simplify to get 10,000 all over one plus nine e negative, Katie. Then we just made this equal 2 2500 when it's p of one. So we know that this is gonna be equal to one two. You get 2500 times one plus nine e to the negative K this equal to 10,000 and we get nine e to the negative. K is equal to three and we get e to the negative. K is equal to 1/3. We take the Ellen of both sides, then we get negative. Cake is equal to out on of 1/3 when we plug in p A four. Since this asking for three years out for the first year, we get 10,000 over one plus nine e toe l n of 1/3 terms for and we got 9000
View More Answers From This Book
Find Another Textbook
01:14
A(n)estimatordraws inferences about a population by estimating the v…
02:04
Atoy manufacturerwants to know now Many new toys children buy cach year samn…
03:49
Construct 95% confidence interval of the population proportion using the giv…
01:18
Which of the following conditions must be met for a confidence interval for …
01:24
B4 A nurse measured the blood pressure of each person who visited her clinic…
02:00
A sample of 500 evening students revealed that their annual incomes were nor…
04:17
The following data give the ages (in years) of all six members of a family: …
00:01
The average score of all golfers for particular course has meam66 and st…
02:40
12 Evaluate the following limit using tables : y = lim I -10.9 0.99 0.99…