Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
uppose that a certain population satisfies the initial value problem y r(t)y — k, y(0) = yo, where the growth rate r(t) is given by 1+ sint 7 It = (t) -) Suppose that k Select the figure that represents y versus t AY for yo = and k represents the rate of predation. 1 7 0.5, 0.75, 1. Yc 3 1 Choose one ) Estimate the critical initial population ye below which the population will become extinct. NOTE: Round your answer to two decimal places.

uppose that a certain population satisfies the initial value problem y r(t)y — k, y(0) = yo, where the growth rate r(t) is given by 1+ sint 7 It = (t) -) Suppose that k Select the figure that represents y versus t AY for yo = and k represents the rate of predation. 1 7 0.5, 0.75, 1. Yc 3 1 Choose one ) Estimate the critical initial population ye below which the population will become extinct. NOTE: Round your answer to two decimal places.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
See similar textbooks
icon
Related questions
Question

the choices are:

*logarithmic

*quadratic

*exponential

*linear

*

Suppose that a certain population satisfies the initial value problem dy = r(t)y – k, y(0) = yo, where the growth rate r(t) is given by dt 1+ sint 7 r(t) and k represents the rate of predation. 1 7' for yo 0.5, 0.75, 1. = = a) Suppose that k = Yc Select the figure that represents y versus t Y 3 21 Choose one b) Estimate the critical initial population ye below which the population will become extinct. NOTE: Round your answer to two decimal places.
Transcribed Image Text:Suppose that a certain population satisfies the initial value problem dy = r(t)y – k, y(0) = yo, where the growth rate r(t) is given by dt 1+ sint 7 r(t) and k represents the rate of predation. 1 7' for yo 0.5, 0.75, 1. = = a) Suppose that k = Yc Select the figure that represents y versus t Y 3 21 Choose one b) Estimate the critical initial population ye below which the population will become extinct. NOTE: Round your answer to two decimal places.
А ус c) Find a general relation between 10 k and the corresponding yc, then plot ye versus k. There is Choose one dependence of ye on k. 8 6 ta k
Transcribed Image Text:А ус c) Find a general relation between 10 k and the corresponding yc, then plot ye versus k. There is Choose one dependence of ye on k. 8 6 ta k
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer