A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by the following. N = 39.5 0.21 +0.76¹ foxes (a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.) foxes (b) Make a graph of N versus t. O 180- 160- 140 120 N 100 80 60 40 0 180 160 140 120 N 100 80 60 S 40 20 0 5 This answer has not bee 5 10 10 t t 15 15 20 20 25 O 180- 160 Explain in words how the population of foxes increases with time. 140 120 N 100 80 8898 60 40 20 0 180 160 140 120 N 100 80 8898 60 40 20 0 5 5 10 10 t t 15 15 20 20 (c) When will the fox population reach 85 individuals? (Round your answer to two decimal places.) The fox population will reach 85 individuals after years. 25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by the following.
N =
39.5
0.21 +0.76¹
foxes
(a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.)
foxes
(b) Make a graph of N versus t.
O
180-
160-
140
120
N 100
80
60
40
0
180
160
140
120
N 100
80
60
S
40
20
0
5
This answer has not bee
5
10
10
t
t
15
15
20
20
25
O
180-
160
Explain in words how the population of foxes increases with time.
140
120
N 100
80
8898
60
40
20
0
180
160
140
120
N 100
80
8898
60
40
20
0
5
5
10
10
t
t
15
15
20
20
(c) When will the fox population reach 85 individuals? (Round your answer to two decimal places.)
The fox population will reach 85 individuals after
years.
25
Transcribed Image Text:A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by the following. N = 39.5 0.21 +0.76¹ foxes (a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.) foxes (b) Make a graph of N versus t. O 180- 160- 140 120 N 100 80 60 40 0 180 160 140 120 N 100 80 60 S 40 20 0 5 This answer has not bee 5 10 10 t t 15 15 20 20 25 O 180- 160 Explain in words how the population of foxes increases with time. 140 120 N 100 80 8898 60 40 20 0 180 160 140 120 N 100 80 8898 60 40 20 0 5 5 10 10 t t 15 15 20 20 (c) When will the fox population reach 85 individuals? (Round your answer to two decimal places.) The fox population will reach 85 individuals after years. 25
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