A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following. 31.5 0.24 +0.76 (a) Make a graph of N versus t covering the first 20 years. N = N 140 120 100 80 60 40 20 foxes N 140 120 100 80 60 40 20 5 10 D 10 1155 15 20 | 20 140 120 100 80 60 40 20 140 120 N 100 N 80 60 40 20 5 5 10 10 15 15 20 20 t t
A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following. 31.5 0.24 +0.76 (a) Make a graph of N versus t covering the first 20 years. N = N 140 120 100 80 60 40 20 foxes N 140 120 100 80 60 40 20 5 10 D 10 1155 15 20 | 20 140 120 100 80 60 40 20 140 120 N 100 N 80 60 40 20 5 5 10 10 15 15 20 20 t t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the population of foxes is given by the following.
31.5
0.24 +0.76
(a) Make a graph of N versus t covering the first 20 years.
N=
!
1
38
F1
Q
140
N
120
100
O
80
60
40
20
foxes
140
N
120
2
100
O
80
60
40
20
F2
W
5
5
#
3
80
F3
E
10
10
S4
15
15
000
000
F4
R
%
5
20
20
t
O
T
O
140
120
100
80
60
40
20
140
120
100
80
60
N
40
20
#00
FS
N
^
6
F6
Y
5
5
&
7
44
F7
10
10
U
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8
15
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20
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9
20
t
t
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0
0
A
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(3)
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Transcribed Image Text:esc
1
100
!
80
O
60
40
F1
20
Q
(b) Calculate N(5). (Round your answer to the nearest whole number.)
N(5) =
(c) For what values of t is the graph concave up?
O (0, 31.5)
O (5.20,00)
O (0, 5.20)
O (0,00)
O (31.5, ∞)
Need Help? Read It
5
For what values of t is the graph concave down?
O (5.20, ∞)
O (0,5.20)
O (0, 31.5)
O (31.5, )
O (0,00)
@
2
10
W
#3
Explain in practical terms what your answer means. (Round the numerical answer to the nearest whole number.)
There are
foxes 5 years -Select- introduction.
80
F3
15
E
$
4
(d) What is the carrying capacity, or limiting value, of N? (Round your answer to the nearest whole number.)
20
000
DOD
F4
t
R
%
5
A
F5
T
100
^
80
6
60
40
20
5
244
F6
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7
10
F7
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8
DII
F8
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9
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DD
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t
)
0
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a
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P
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