Suppose that a population develops according to the logistic equation dP = 0.2P – 0.0005 P² dt | where t is measured in weeks. (a) What is the carrying capacity? 200 (b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing

Suppose that a population develops according to the logistic equation dP = 0.2P – 0.0005 P² dt | where t is measured in weeks. (a) What is the carrying capacity? 200 (b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing

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.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

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Need help solving part A

Suppose that a population develops according to the logistic equation
dP
= 0.2P – 0.0005P?
dt
where t is measured in weeks.
(a) What is the carrying capacity? 200
...
(b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing
(c) Is the solution increasing or decreasing when P is greater than the carrying capacity? decreasing

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