Explanation Given information: The statement “The function P = 1000 ( 1 + 2 e − 3 t ) has an inflection point when P = 500. ” For positive constants L, C, and k, a logistic function has the form P = f ( t ) = L 1 + C e − k t . The parameter L of the logistic function is the value at which P levels off, where P = L 1 + C e − k t . This value L is called the carrying capacity and represents the largest population an environment can support.One way to estimate the carrying capacity is to find the inflection point

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 4, Problem 64SYU

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Chapter 4, Problem 63SYU

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Chapter 4 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

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To indicate: Whether the statement is true or false.

Solution Summary: The author explains that a logistic function has the form P=f(t)=L1+Ce-k