تكلم مع الذكاء الاصطناعي
Deck 6: Section 4: Differential Equations
ملء الشاشة (f)
سؤال
Each of the following graphs is from a logistic function 
. Which one has the largest value of b?
A)
B)
C)
D)
E)
. Which one has the largest value of b?A)
B)
C)
D)
E)
سؤال
Identify the graph of the logistic function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
سؤال
سؤال
A conservation organization releases 40 coyotes into a preserve. After 4 years, there are 70 coyotes in the preserve. The preserve has a carrying capacity of 175. Write a logistic function that models the population of coyotes in the preserve.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The logistic function 
models the growth of a population. Identify the initial population.
A) 6
B) 8
C) 3
D) 24
E) 2
models the growth of a population. Identify the initial population.A) 6
B) 8
C) 3
D) 24
E) 2
سؤال
The logistic function 
models the growth of a population. Identify the value of k.
A) 1.7
B) 2.2
C) 0.2
D) 20
E) 0.5
models the growth of a population. Identify the value of k.A) 1.7
B) 2.2
C) 0.2
D) 20
E) 0.5
سؤال
Each of the following graphs is from a logistic function 
. Which one has the smallest value of b?
A)
B)
C)
D)
E)
. Which one has the smallest value of b?A)
B)
C)
D)
E)
سؤال
Match the logistic differential equation and initial condition with the graph of its solution shown below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The logistic function 
models the growth of a population. Identify the maximum carrying capacity.
A) 20
B) 1.7
C) 0.5
D) 0.2
E) 2.2
models the growth of a population. Identify the maximum carrying capacity.A) 20
B) 1.7
C) 0.5
D) 0.2
E) 2.2
سؤال
Find the logistic equation that satisfies the following differential equation and initial condition. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
سؤال
The logistic function 
models the growth of a population. Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.
A) 0.549
B) 3.333
C) 1.151
D) 5.000
E) 1.000
models the growth of a population. Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.A) 0.549
B) 3.333
C) 1.151
D) 5.000
E) 1.000
سؤال
The logistic function 
models the growth of a population. Determine when the population reaches 
of the maximum carrying capacity. Round your answer to three decimal places.
A) 4.317
B) 3.000
C) 0.474
D) 0.677
E) 0.301
models the growth of a population. Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.A) 4.317
B) 3.000
C) 0.474
D) 0.677
E) 0.301
سؤال
Match the logistic equation and initial condition with the graph of the solution. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 6: Section 4: Differential Equations
1
Each of the following graphs is from a logistic function . Which one has the largest value of b?
A)
B)
C)
D)
E)
. Which one has the largest value of b?A)
B)
C)
D)
E)
2
Identify the graph of the logistic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
3
A conservation organization releases 30 panthers into a preserve. After 3 years, there are 50 panthers in the preserve. The preserve has a carrying capacity of 150. Determine the time it takes for the population to reach 110.
A) 13.139 years
B) 8.994 years
C) 10.378 years
D) 7.811 years
E) 12.003 years
A) 13.139 years
B) 8.994 years
C) 10.378 years
D) 7.811 years
E) 12.003 years
10.378 years
4
A conservation organization releases 50 foxes into a preserve. After 5 years, there are 85 foxes in the preserve. The preserve has a carrying capacity of 225. Determine the population after 10 years. Discard any fractional part of your answer.
A) 126
B) 118
C) 139
D) 131
E) 205
A) 126
B) 118
C) 139
D) 131
E) 205
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5
A conservation organization releases 40 coyotes into a preserve. After 4 years, there are 70 coyotes in the preserve. The preserve has a carrying capacity of 175. Write a logistic function that models the population of coyotes in the preserve.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
The logistic function models the growth of a population. Identify the initial population.
A) 6
B) 8
C) 3
D) 24
E) 2
models the growth of a population. Identify the initial population.A) 6
B) 8
C) 3
D) 24
E) 2
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7
The logistic function models the growth of a population. Identify the value of k.
A) 1.7
B) 2.2
C) 0.2
D) 20
E) 0.5
models the growth of a population. Identify the value of k.A) 1.7
B) 2.2
C) 0.2
D) 20
E) 0.5
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8
Each of the following graphs is from a logistic function . Which one has the smallest value of b?
A)
B)
C)
D)
E)
. Which one has the smallest value of b?A)
B)
C)
D)
E)
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9
Match the logistic differential equation and initial condition with the graph of its solution shown below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
The logistic function models the growth of a population. Identify the maximum carrying capacity.
A) 20
B) 1.7
C) 0.5
D) 0.2
E) 2.2
models the growth of a population. Identify the maximum carrying capacity.A) 20
B) 1.7
C) 0.5
D) 0.2
E) 2.2
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11
Find the logistic equation that satisfies the following differential equation and initial condition.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
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12
The logistic function models the growth of a population. Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.
A) 0.549
B) 3.333
C) 1.151
D) 5.000
E) 1.000
models the growth of a population. Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.A) 0.549
B) 3.333
C) 1.151
D) 5.000
E) 1.000
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13
The logistic function models the growth of a population. Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.
A) 4.317
B) 3.000
C) 0.474
D) 0.677
E) 0.301
models the growth of a population. Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.A) 4.317
B) 3.000
C) 0.474
D) 0.677
E) 0.301
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14
Match the logistic equation and initial condition with the graph of the solution.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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