(b) If the initial population is 2400 [that is, p(0) = 2.4], what can be said about the limiting population lim p(t)? t ? +? If p(0) = 2.4, then lim p(t) = 2.0. The population will
Added by Robin S.
Close
Step 1
p(0) = 2.4 Show more…
Show all steps
Your feedback will help us improve your experience
Donna Densmore and 60 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that a population P(t) grows in proportion to the population present due to the birth/death level (with the coefficient of proportionality 0.01 year^-1) and it also decreases at the constant rate 1000 people per year due to migration (compare with the previous exercise). (a) Describe this model as a differential equation for P(t). (b) Find a constant solution P of this equation. (c) Find P(t), if its initial size is 200,000. What is lim P(t) as t -> infinity? (d) Find P(t), if its initial size is 50,000. What is lim P(t) as t -> infinity?
Parul N.
A population of mosquitoes decreases exponentially: The size of the population, P after t days is modelled by P = 3200 x 2^-t + 50 , where t > 0 . a Write down the exact size of the initial population b Find the size of the population after 4 days: c Calculate the time it will take for the size of the population to decrease to 60.
Supreeta N.
Suppose that a population P(t) follows the following Gompertz differential equation. dP/dt = 4P(12 - ln(P)), with initial condition P(0) = 150. (a) What is the limiting value of the population? (b) What is the value of the population when t = 6?
Linda H.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD