Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question 13 of 18 possible This question: 1 Submit quiz point(s) possible Suppose the initial population is Po = 120, the point of inflection is

image text in transcribed
image text in transcribed
Question 13 of 18 possible This question: 1 Submit quiz point(s) possible Suppose the initial population is Po = 120, the point of inflection is (15,1600), and the time is measured in months. dP Answer the following parts (a) through (c) using the inhibited growth model dt = KP(L - P). a) Find the limiting population L. b) Use the result of part (a) to find k; then find the particular solution P. c) When will the population reach 900? . . . a) L = 3200 (Type an integer or a decimal.) b) k= 0.0000627 (Type an integer or decimal rounded to seven decimal places as needed.) 3840000 P(t) = 120 + 3080e- 0.201t (Type an exact answer in terms of e. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.) c) The population will reach 900 in months. (Type an integer or decimal rounded to three decimal places as needed.)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Advances In Differential Equations And Applications

Authors: Fernando Casas, Vicente Martínez

1st Edition

3319069535, 9783319069531

More Books

Students also viewed these Mathematics questions