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Deck 31: Equations of Change Graphical Solutions
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Question
Find the equilibrium solutions of the equation of change 
.Round your answer to two decimal places, if necessary.
A)
and 
B)
and 
C)
and 
D)
and 
.Round your answer to two decimal places, if necessary. A)
and B)
and C)
and D)
and 
Question
Find the equilibrium solutions of the equation of change 
.
A)
and 
B)
and 
C)
and 
D)
and 
. A)
and B)
and C)
and D)
and Question
Find the equilibrium solution of the equation of change 
.
A) 
B)
C) 
D) 
. A)
B)
C)
D)
Question
Question
When 
is negative, the function 
is also negative.
is negative, the function is also negative. Question
Question
Find the equilibrium solutions of the equation of change 
.
A)
and 
B)
and 
C)
and 
D)
and 
. A)
and B)
and C)
and D)
and Question
Find the equilibrium solution of the equation of change 
.Round your answer to two decimal places.
A) 
B) 
C) 
D)
.Round your answer to two decimal places. A)
B)
C)
D)
Question
Find the equilibrium solution of the equation of change 
.
A)
B) 
C) 
D) 
. A)
B)
C)
D)
Question
Find the equilibrium solutions of the equation of change 
.Round your answers to two decimal places, if necessary.
A)
and 
B)
and 
C)
and 
D)
and 
.Round your answers to two decimal places, if necessary. A)
and B)
and C)
and D)
and Question
Find the equilibrium solutions of the equation of change 
.Round your answer to two decimal places, if necessary.
A)
and 
B)
and 
C)
and 
D)
and 
.Round your answer to two decimal places, if necessary. A)
and B)
and C)
and D)
and Question
Find the equilibrium solution of the equation of change 
.
A) 
B) 
C) 
D) 
. A)
B)
C)
D)
Question
At the maximum value, a peak, for a function 
, the rate of change 
is 0.
, the rate of change is 0. Question
Find the equilibrium solution of the equation of change 
.Consider only positive values of x.Round your answer to two decimal places, if nessary.
A)
B)
C)
D) 
.Consider only positive values of x.Round your answer to two decimal places, if nessary. A)
B)
C)
D)
Question
At the minimum value, a valley, for a function 
, the rate of change 
is 0.
, the rate of change is 0. Question
Find the equilibrium solution of the equation of change 
.Round your answer to two decimal places, if nessary.
A)
B)
C)
D)
.Round your answer to two decimal places, if nessary. A)
B)
C)
D)
Question
Find the equilibrium solution of the equation of change 
.Consider only positive values of x.
A)
B)
C)
D)
.Consider only positive values of x. A)
B)
C)
D)
Question
The function 
satisfies the equation of change 
.For what values of f is the graph of f versus x increasing? Round your answer to two decimal places.
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places. A)
B)
C)
D)
Question
When 
is positive, the function 
is increasing.
is positive, the function is increasing. Question
Question
Consider the equation of change 
.What can you say about the graph of f versus x when 
?
A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
.What can you say about the graph of f versus x when ? A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
Question
The weight w of a certain animal satisfies an equation of change.At a specific weight, the equation of change indicates that 
is positive.What can you conclude about how the animal's weight can be expected to change?
A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a minimum value.
is positive.What can you conclude about how the animal's weight can be expected to change? A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a minimum value.
Question
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change 
.How much liquid is in the tank after a long time?
A) 6 liters
B) 42 liters
C) 1.17 liters
D) 7 liters
.How much liquid is in the tank after a long time? A) 6 liters
B) 42 liters
C) 1.17 liters
D) 7 liters
Question
The weight w, in pounds of a certain animal at age t years satisfies the equation of change 
.At what weight is the animal growing the fastest? Round your answer to two decimal places.
A) 0.47 pounds
B) 2.13 pounds
C) 1.06 pounds
D) None of the above
.At what weight is the animal growing the fastest? Round your answer to two decimal places. A) 0.47 pounds
B) 2.13 pounds
C) 1.06 pounds
D) None of the above
Question
The function 
satisfies the equation of change 
.For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary.
A)
B)
C) 
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary. A)
B)
C)
D)
Question
A certain population grows according to 
.At a certain time the population is 698 individuals.What can be said about the population at this time?
A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
.At a certain time the population is 698 individuals.What can be said about the population at this time? A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
Question
If 
is an equilibrium solution of an equation of change involving 
, what is the value of 
when 
?
A) 0
B) 5
C) -5
D) None of the above
is an equilibrium solution of an equation of change involving , what is the value of when ? A) 0
B) 5
C) -5
D) None of the above
Question
A certain population grows according to 
.What is the carrying capacity of the environment for this particular population? Round your answer to two decimal places, if necessary.
A) 351
B) 0.03
C) 11
D) 11,700
.What is the carrying capacity of the environment for this particular population? Round your answer to two decimal places, if necessary. A) 351
B) 0.03
C) 11
D) 11,700
Question
The function 
satisfies the equation of change 
.For what values of f is the graph of f versus x increasing?
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? A)
B)
C)
D)
Question
The weight w of a certain animal satisfies an equation of change.At a specific weight, the equation of change indicates that 
is negative.What can you conclude about how the animal's weight can be expected to change?
A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a maximum value.
is negative.What can you conclude about how the animal's weight can be expected to change? A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a maximum value.
Question
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change 
.What is happening to the liquid in the tank when there are 53 liters present?
A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
.What is happening to the liquid in the tank when there are 53 liters present? A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
Question
The function 
satisfies the equation of change 
.For what values of f is the graph of f versus x decreasing?
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x decreasing? A)
B)
C)
D)
Question
Consider the equation of change 
.What can you say about the graph of f versus x when 
?
A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
.What can you say about the graph of f versus x when ? A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
Question
The function 
satisfies the equation of change 
.For what value of f is f increasing at the fastest rate?
A)
B)
C)
D)
satisfies the equation of change .For what value of f is f increasing at the fastest rate? A)
B)
C)
D)
Question
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change 
.What is happening to the liquid in the tank when there are 31 liters present?
A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
.What is happening to the liquid in the tank when there are 31 liters present? A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
Question
Question
The weight w, in pounds, of a certain animal at age t years satisfies the equation of change 
.For what values of the weight w is the animal losing weight? Round your answer to two decimal places.
A)
pounds
B)
pounds
C) 2.90 pounds
D) None of the above
.For what values of the weight w is the animal losing weight? Round your answer to two decimal places. A)
poundsB)
poundsC) 2.90 pounds
D) None of the above
Question
A certain population grows according to 
.At a certain time the population is 1,140 individuals.What can be said about the population at this time?
A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
.At a certain time the population is 1,140 individuals.What can be said about the population at this time? A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
Question
The function 
satisfies the equation of change 
.For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary.
A) 
B) 
C)
D) 
satisfies the equation of change .For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary. A)
B)
C)
D)
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Deck 31: Equations of Change Graphical Solutions
1
Find the equilibrium solutions of the equation of change .Round your answer to two decimal places, if necessary.
A) and
B) and
C) and
D) and
.Round your answer to two decimal places, if necessary. A)
and B)
and C)
and D)
and and 2
Find the equilibrium solutions of the equation of change .
A) and
B) and
C) and
D) and
. A)
and B)
and C)
and D)
and and 3
Find the equilibrium solution of the equation of change .
A)
B)
C)
D)
. A)
B)
C)
D)
4
The carrying capacity is an equilibrium solution for the equation of change for logistic growth.
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5
When is negative, the function is also negative.
is negative, the function is also negative. Unlock Deck
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6
Equilibrium or steady-state solutions for an equation of change are solutions that remain constant.
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7
Find the equilibrium solutions of the equation of change .
A) and
B) and
C) and
D) and
. A)
and B)
and C)
and D)
and Unlock Deck
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8
Find the equilibrium solution of the equation of change .Round your answer to two decimal places.
A)
B)
C)
D)
.Round your answer to two decimal places. A)
B)
C)
D)
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9
Find the equilibrium solution of the equation of change .
A)
B)
C)
D)
. A)
B)
C)
D)
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10
Find the equilibrium solutions of the equation of change .Round your answers to two decimal places, if necessary.
A) and
B) and
C) and
D) and
.Round your answers to two decimal places, if necessary. A)
and B)
and C)
and D)
and Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
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11
Find the equilibrium solutions of the equation of change .Round your answer to two decimal places, if necessary.
A) and
B) and
C) and
D) and
.Round your answer to two decimal places, if necessary. A)
and B)
and C)
and D)
and Unlock Deck
Unlock for access to all 39 flashcards in this deck.
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12
Find the equilibrium solution of the equation of change .
A)
B)
C)
D)
. A)
B)
C)
D)
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13
At the maximum value, a peak, for a function , the rate of change is 0.
, the rate of change is 0. Unlock Deck
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14
Find the equilibrium solution of the equation of change .Consider only positive values of x.Round your answer to two decimal places, if nessary.
A)
B)
C)
D)
.Consider only positive values of x.Round your answer to two decimal places, if nessary. A)
B)
C)
D)
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15
At the minimum value, a valley, for a function , the rate of change is 0.
, the rate of change is 0. Unlock Deck
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16
Find the equilibrium solution of the equation of change .Round your answer to two decimal places, if nessary.
A)
B)
C)
D)
.Round your answer to two decimal places, if nessary. A)
B)
C)
D)
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17
Find the equilibrium solution of the equation of change .Consider only positive values of x.
A)
B)
C)
D)
.Consider only positive values of x. A)
B)
C)
D)
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18
The function satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places.
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places. A)
B)
C)
D)
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19
When is positive, the function is increasing.
is positive, the function is increasing. Unlock Deck
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20
Equilibrium or steady-state solutions for an equation of change occur where the rate of change is 0.
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21
Consider the equation of change .What can you say about the graph of f versus x when ?
A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
.What can you say about the graph of f versus x when ? A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
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22
The weight w of a certain animal satisfies an equation of change.At a specific weight, the equation of change indicates that is positive.What can you conclude about how the animal's weight can be expected to change?
A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a minimum value.
is positive.What can you conclude about how the animal's weight can be expected to change? A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a minimum value.
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
k this deck
23
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change .How much liquid is in the tank after a long time?
A) 6 liters
B) 42 liters
C) 1.17 liters
D) 7 liters
.How much liquid is in the tank after a long time? A) 6 liters
B) 42 liters
C) 1.17 liters
D) 7 liters
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
k this deck
24
The weight w, in pounds of a certain animal at age t years satisfies the equation of change .At what weight is the animal growing the fastest? Round your answer to two decimal places.
A) 0.47 pounds
B) 2.13 pounds
C) 1.06 pounds
D) None of the above
.At what weight is the animal growing the fastest? Round your answer to two decimal places. A) 0.47 pounds
B) 2.13 pounds
C) 1.06 pounds
D) None of the above
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
k this deck
25
The function satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary.
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary. A)
B)
C)
D)
Unlock Deck
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26
A certain population grows according to .At a certain time the population is 698 individuals.What can be said about the population at this time?
A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
.At a certain time the population is 698 individuals.What can be said about the population at this time? A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
Unlock Deck
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27
If is an equilibrium solution of an equation of change involving , what is the value of when ?
A) 0
B) 5
C) -5
D) None of the above
is an equilibrium solution of an equation of change involving , what is the value of when ? A) 0
B) 5
C) -5
D) None of the above
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
k this deck
28
A certain population grows according to .What is the carrying capacity of the environment for this particular population? Round your answer to two decimal places, if necessary.
A) 351
B) 0.03
C) 11
D) 11,700
.What is the carrying capacity of the environment for this particular population? Round your answer to two decimal places, if necessary. A) 351
B) 0.03
C) 11
D) 11,700
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
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29
The function satisfies the equation of change .For what values of f is the graph of f versus x increasing?
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x increasing? A)
B)
C)
D)
Unlock Deck
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30
The weight w of a certain animal satisfies an equation of change.At a specific weight, the equation of change indicates that is negative.What can you conclude about how the animal's weight can be expected to change?
A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a maximum value.
is negative.What can you conclude about how the animal's weight can be expected to change? A) The weight will stay the same.
B) The animal will gain weight.
C) The animal will lose weight.
D) The weight is at a maximum value.
Unlock Deck
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31
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change .What is happening to the liquid in the tank when there are 53 liters present?
A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
.What is happening to the liquid in the tank when there are 53 liters present? A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
Unlock Deck
Unlock for access to all 39 flashcards in this deck.
Unlock Deck
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32
The function satisfies the equation of change .For what values of f is the graph of f versus x decreasing?
A)
B)
C)
D)
satisfies the equation of change .For what values of f is the graph of f versus x decreasing? A)
B)
C)
D)
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33
Consider the equation of change .What can you say about the graph of f versus x when ?
A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
.What can you say about the graph of f versus x when ? A) The graph is increasing.
B) The graph is decreasing.
C) The graph reaches a maximum.
D) The graph reaches a minimum.
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34
The function satisfies the equation of change .For what value of f is f increasing at the fastest rate?
A)
B)
C)
D)
satisfies the equation of change .For what value of f is f increasing at the fastest rate? A)
B)
C)
D)
Unlock Deck
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35
The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change .What is happening to the liquid in the tank when there are 31 liters present?
A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
.What is happening to the liquid in the tank when there are 31 liters present? A) The amount of liquid is at a minimum.
B) The amount of liquid in increasing.
C) The amount of liquid is deceasing.
D) The amount of liquid is at a maximum.
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36
A certain population grows according to an equation of change.What can be said of population growth when the population level is at a steady state solution of the equation of change?
A) The population is stable--neither increasing nor decreasing.
B) The population is increasing.
C) The population is decreasing.
D) There is not sufficient information to determine how population grows.
A) The population is stable--neither increasing nor decreasing.
B) The population is increasing.
C) The population is decreasing.
D) There is not sufficient information to determine how population grows.
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37
The weight w, in pounds, of a certain animal at age t years satisfies the equation of change .For what values of the weight w is the animal losing weight? Round your answer to two decimal places.
A) pounds
B) pounds
C) 2.90 pounds
D) None of the above
.For what values of the weight w is the animal losing weight? Round your answer to two decimal places. A)
poundsB)
poundsC) 2.90 pounds
D) None of the above
Unlock Deck
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38
A certain population grows according to .At a certain time the population is 1,140 individuals.What can be said about the population at this time?
A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
.At a certain time the population is 1,140 individuals.What can be said about the population at this time? A) The population is increasing.
B) The population is decreasing.
C) The population has reached a maximum value.
D) The population has reached a minimum value.
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39
The function satisfies the equation of change .For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary.
A)
B)
C)
D)
satisfies the equation of change .For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary. A)
B)
C)
D)
Unlock Deck
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