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Gompertz Equation Another model that can be used to represent population growth is the Gompertz equation, which is the solution of the
where k is a constant and L is the carrying capacity.
(a) Find the general solution of the differential equation.
(b) Use a graphing utility to graph the slope field for the differential equation when k = 0.05 and L = 1000.
(c) Describe the behavior of the graph in part (b) as
(d) Use a graphing utility to graph the equation you found in part (a) for L = 5000, y(0) = 500, and k = 0.02. Determine the concavity of the graph and how it compares with the general solution of the logistic differential equation.
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Chapter 6 Solutions
Calculus Of A Single Variable With Calcchat And Calcview, 11e
- please dont use chat gptarrow_forwardQuestion Given the graph of f(z) below, identify the graph of f'(z). Select the correct answer below: -7-6-5-4-3-2 1 2 3 4 5 6 + 123. -7-6-5-4-3 12 + 4-3-2-1 1arrow_forwardFind this expression in frequency domain in a expression y(t), in time, that is.arrow_forward
- please dont use chat gptarrow_forwardQuestion Given the graph of f(z) below, find the graph of the derivative of f(z). Select the correct answer below: ° 7-6-5-4-3 123 ° ° 2 -7-6-5-4-3- 123 -° 2-4 -°- °- -7-6-5-4-3-2-1 1 5 +arrow_forwardWhich of the functions shown below is differentiable at = 0? Select the correct answer below: -7-6-5-4- -6-5-4-3-21, -7-6-5-4-3-2 -7-6-5-4-3-2-1 2 4 5 6 -1arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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