A large number of rats R are stranded on a very small island. There is not enough food and initially many rats die. But eventually R reaches a stable population size of 1000. Which of the differential equations given below aligns with what we know about R? = = 0.1R(1 - dt dR t dt 1000R - dR = -5R dt dR dt = R(10-R) R 1000

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.CR: Chapter 11 Review
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A large number of rats R are stranded on a very small island. There is not enough food and
initially many rats die. But eventually R reaches a stable population size of 1000. Which of
the differential equations given below aligns with what we know about R?
=
= 0.1R(1 -
dt
dR
t
dt
1000R
-
dR
= -5R
dt
dR
dt
= R(10-R)
R
1000
Transcribed Image Text:A large number of rats R are stranded on a very small island. There is not enough food and initially many rats die. But eventually R reaches a stable population size of 1000. Which of the differential equations given below aligns with what we know about R? = = 0.1R(1 - dt dR t dt 1000R - dR = -5R dt dR dt = R(10-R) R 1000
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