A murder of crows in the wild is observed to double its population in one year. However, in captivity, an average of 10 crows die every year due to stress. If C is the population of crows at any given time t (in years), which of the following differential equations best describes the growth model of captive crows? dC 0.693C |3D dt dC = 0.693C – 10 dt dC dt 0.693C + 10 dC 0.693 (C – 10) dt

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...
icon
Related questions
Question
100%
A murder of crows in the wild is observed to double its population in one year. However,
in captivity, an average of 10 crows die every year due to stress.
If C is the population of crows at any given time t (in years), which of the following
differential equations best describes the growth model of captive crows?
0.693C
dt
dC
%3D
0.693C – 10
dt
d = 0.693C+10
dC
dt
0.693 (C – 10)
Transcribed Image Text:A murder of crows in the wild is observed to double its population in one year. However, in captivity, an average of 10 crows die every year due to stress. If C is the population of crows at any given time t (in years), which of the following differential equations best describes the growth model of captive crows? 0.693C dt dC %3D 0.693C – 10 dt d = 0.693C+10 dC dt 0.693 (C – 10)
An amount of radium (R) disintegrates at a rate proportional to the amount present at a
given time (t). It takes 1200 years for the Radium to disintegrate to 70% of its original
amount (Ro). Which of the following equations best describe this condition?
O R(1200) = 0.3Ro
O R(1200) = 0.7R,
O R(1200) = e0.3R
O R(1200) = e0.7 Ro
Transcribed Image Text:An amount of radium (R) disintegrates at a rate proportional to the amount present at a given time (t). It takes 1200 years for the Radium to disintegrate to 70% of its original amount (Ro). Which of the following equations best describe this condition? O R(1200) = 0.3Ro O R(1200) = 0.7R, O R(1200) = e0.3R O R(1200) = e0.7 Ro
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage