The number of antelope in a national park is modeled by the function dA A that satisfies the logistic differential equation = 0.4A dt A (1-340) where t is the time in years and A(0) = 25. The rate of growth of the population of antelope in the park is growing the fastest when A=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The number of antelope in a national park is modeled by the function
dA
A that satisfies the logistic differential equation
=
0.4A
dt
(1-300) , where t is the time in years and A(0) = 25. The rate of
growth of the population of antelope in the park is growing the
fastest when A=
Transcribed Image Text:The number of antelope in a national park is modeled by the function dA A that satisfies the logistic differential equation = 0.4A dt (1-300) , where t is the time in years and A(0) = 25. The rate of growth of the population of antelope in the park is growing the fastest when A=
. The position of a particle moving in the xy-plane is given by the
parametric equations x(t) = 3t³-5t³ - 1 and
y(t) = 3t-4t³-12t²
+ 5. For what values of this the particle at rest?
Transcribed Image Text:. The position of a particle moving in the xy-plane is given by the parametric equations x(t) = 3t³-5t³ - 1 and y(t) = 3t-4t³-12t² + 5. For what values of this the particle at rest?
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