Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let a logistic curve be given by dp/dt = 0.02*p*(5

Let a logistic curve be given by dP/dt = 0.02*P*(50-P) with the initial condition P(0)=5 This is an IVP...

60.1K

Verified Solution

Question

Advance Math

Let a logistic curve be given by

dP/dt = 0.02*P*(50-P)

with the initial condition

P(0)=5

This is an IVP (“initial value problem”) for the population Pversus time t.

Report the following numbers in the given order (use twodigits):

  1. The growth coefficient k=?
  2. The carrying capacity M=?
  3. The population level when the growth just starts to slow down(“the inflection point” population level) PIP=?
  4. The time when the population just starts to slow downtIP=?
  5. The population level when t=5: P(5)=?
  6. The long-term approximation for the population level limit P(t)as t-> infinity.

Answer & Explanation Solved by verified expert
4.3 Ratings (983 Votes)
For the first two questions the given equation is beingcompared with the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Many companies paid dividends in 20YY and these payouts were attributed to the large cash build-up...

Advance Math
1.2K views

Calculate the first three terms in the power series solutions of the following differential equations taken...

Accounting
1.2K views

Exercise 10-18 Pronghorn Company purchased an electric wax meter on April 30, 2017, by trading in its...

Biology
1.2K views

Horses are either trotters or pacers. A male trotter, Semilore, mates with three different females,...

Biology
1.2K views

A hypothetical population of 200 cats has two alleles 7 and 75 for a locus...

Biology
1.2K views

identify this molecule whole molecule Les Obch 9999 199 8888 8 8 8 8 8...

Physics
1.2K views

If and are respectively the wavelengths of the series limit of Lyman and Balmer series...

Physics
1.2K views

Which one value of electric field is possible due to Uniformly charge ring Question Type...

Basic Math
1.2K views

Functions can be represented in __ ways. 5 3 4

Basic Math
1.2K views

Find the slope of the line X+ 9 = 14.zero14undefined

Calculus
1.2K views

quadratic function f is given f x x 14x 35 a Express fin standard form...

Finance
1.2K views

Returns on shares of Lattice are predicted as follows: Lattice earns 0.10 return in recession...