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At the maximum value, a peak, for a function At the maximum value, a peak, for a function   , the rate of change   is 0. , the rate of change At the maximum value, a peak, for a function   , the rate of change   is 0. is 0.

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The function 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 The function   satisfies the equation of change   .For what values of f is the graph of f versus x increasing? ​ A)    B)    C)    D)   .For what values of f is the graph of f versus x increasing? ​


A) The function   satisfies the equation of change   .For what values of f is the graph of f versus x increasing? ​ A)    B)    C)    D)
B) The function   satisfies the equation of change   .For what values of f is the graph of f versus x increasing? ​ A)    B)    C)    D)
C) The function   satisfies the equation of change   .For what values of f is the graph of f versus x increasing? ​ A)    B)    C)    D)
D) The function   satisfies the equation of change   .For what values of f is the graph of f versus x increasing? ​ A)    B)    C)    D)

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The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change 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.

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The weight w, in pounds, of a certain animal at age t years satisfies the equation of change 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) 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 pounds
B) 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 pounds
C) 2.90 pounds
D) None of the above

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Find the equilibrium solution of the equation of change 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) ​ Find the equilibrium solution of the equation of change   .Round your answer to two decimal places. ​ A)  ​   B)  ​   C)  ​   D)
B) ​ Find the equilibrium solution of the equation of change   .Round your answer to two decimal places. ​ A)  ​   B)  ​   C)  ​   D)
C) ​ Find the equilibrium solution of the equation of change   .Round your answer to two decimal places. ​ A)  ​   B)  ​   C)  ​   D)
D) Find the equilibrium solution of the equation of change   .Round your answer to two decimal places. ​ A)  ​   B)  ​   C)  ​   D)

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Find the equilibrium solutions of the equation of change Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and  . ​


A) Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and  and Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and
B) Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and  and Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and
C) Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and  and Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and
D) Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and  and Find the equilibrium solutions of the equation of change   . ​ A)    and   B)    and   C)    and   D)    and

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A certain population grows according to 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

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Equilibrium or steady-state solutions for an equation of change occur where the rate of change is 0.

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The function 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 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)   .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places. ​


A) 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)
B) 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)
C) 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)
D) 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)

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Find the equilibrium solution of the equation of change Find the equilibrium solution of the equation of change   . ​ A)  ​   B)  ​   C)  ​   D)  ​  . ​


A) ​ Find the equilibrium solution of the equation of change   . ​ A)  ​   B)  ​   C)  ​   D)  ​
B) ​ Find the equilibrium solution of the equation of change   . ​ A)  ​   B)  ​   C)  ​   D)  ​
C) ​ Find the equilibrium solution of the equation of change   . ​ A)  ​   B)  ​   C)  ​   D)  ​
D) ​ Find the equilibrium solution of the equation of change   . ​ A)  ​   B)  ​   C)  ​   D)  ​

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The function 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 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)  ​  .For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary. ​


A) ​ 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)  ​
B) ​ 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)  ​
C) 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)  ​
D) ​ 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)  ​

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C

Find the equilibrium solutions of the equation of change 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) 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  and 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
B) 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  and 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
C) 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  and 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
D) 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  and 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

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When When   is positive, the function   is increasing. is positive, the function When   is positive, the function   is increasing. is increasing.

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The function 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 The function   satisfies the equation of change   .For what value of f is f increasing at the fastest rate? ​ A)    B)    C)    D)   .For what value of f is f increasing at the fastest rate? ​


A) The function   satisfies the equation of change   .For what value of f is f increasing at the fastest rate? ​ A)    B)    C)    D)
B) The function   satisfies the equation of change   .For what value of f is f increasing at the fastest rate? ​ A)    B)    C)    D)
C) The function   satisfies the equation of change   .For what value of f is f increasing at the fastest rate? ​ A)    B)    C)    D)
D) The function   satisfies the equation of change   .For what value of f is f increasing at the fastest rate? ​ A)    B)    C)    D)

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The amount L, in liters, of liquid remaining in a tank after t hours satisfies the equation of change 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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The function 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 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)   .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary. ​


A) 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)
B) 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)
C) ​ 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)
D) 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)

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If 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 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 , what is the value of 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 when 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 ? ​


A) 0
B) 5
C) -5
D) None of the above

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A

Find the equilibrium solution of the equation of change 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) 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)  ​
B) 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)  ​
C) 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)  ​
D) ​ 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)  ​

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The weight w of a certain animal satisfies an equation of change.At a specific weight, the equation of change indicates that 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.

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B

Find the equilibrium solutions of the equation of change 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) 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  and 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
B) 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  and 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
C) 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  and 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
D) 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  and 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

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