The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use the equation to find the value of k. Step 1 All solutions of the logistic differential equation are of the general form L 1 + be-kt. y = Hence, compare the solution of the logistic differential equation with the general form of the logistic differential equation to obtain the value of k, k= X Submit Skip (you cannot come back) Exercise (b) Use the equation to find the carrying capacity. Step 1 Again, compare the solution of the logistic differential equation with the general form of the logistic differential equation. Then, obtain the carrying capacity L. ⇒L= Submit Skip (you cannot come back)

The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use the equation to find the value of k. Step 1 All solutions of the logistic differential equation are of the general form L 1 + be-kt. y = Hence, compare the solution of the logistic differential equation with the general form of the logistic differential equation to obtain the value of k, k= X Submit Skip (you cannot come back) Exercise (b) Use the equation to find the carrying capacity. Step 1 Again, compare the solution of the logistic differential equation with the general form of the logistic differential equation. Then, obtain the carrying capacity L. ⇒L= Submit Skip (you cannot come back)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...

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