The logistic equation for the population (in thousands) of a certain species is given by = 3p²-2p³. Complete parts (a) through (d) below. dp dt (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. O A. O B. Q (b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)? If p(0) = 3, then lim p(t)=. The population will (c) If p(0)=1.2, what can be said about the limiting population lim p(t)? If p(0)=1.2, then lim p(t)=. The population will (d) Can a population of 1200 ever increase to 3000? possible for a population of 1200 to increase to 3000. One solution of the given 3000. One solution of the given what is guaranteed by the existence-uniqueness theorem. horizontal line. This would I I Q Q ✔ O C. Q differential equation is the horizontal line p(t) = differential equation is the horizontal line p(t)=. If the population were to increase from 1200 to 3000, the corresponding solution curve would that
The logistic equation for the population (in thousands) of a certain species is given by = 3p²-2p³. Complete parts (a) through (d) below. dp dt (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. O A. O B. Q (b) If the initial population is 3000 [that is, p(0) = 3], what can be said about the limiting population lim p(t)? If p(0) = 3, then lim p(t)=. The population will (c) If p(0)=1.2, what can be said about the limiting population lim p(t)? If p(0)=1.2, then lim p(t)=. The population will (d) Can a population of 1200 ever increase to 3000? possible for a population of 1200 to increase to 3000. One solution of the given 3000. One solution of the given what is guaranteed by the existence-uniqueness theorem. horizontal line. This would I I Q Q ✔ O C. Q differential equation is the horizontal line p(t) = differential equation is the horizontal line p(t)=. If the population were to increase from 1200 to 3000, the corresponding solution curve would that
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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