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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 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=

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=

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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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