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Exam 31: Equations of Change Graphical Solutions

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Exam 1: Functions Given by Formulas38 Questionsadd course
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Exam 28: Rates of Change for Other Functions40 Questionsadd course
Exam 29 Estimating Rates of Change27 Questionsadd course
Exam 30: Equations of Change Linear and Exponential Functions30 Questionsadd course
Exam 31: Equations of Change Graphical Solutions39 Questionsadd course
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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. ​ 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. ​ .For what value of f is f increasing at the fastest rate? Round your answer to two decimal places, if necessary. ​

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Question 1
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C

If If is an equilibrium solution of an equation of change involving , what is the value of when ? ​ 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 ? ​ , what is the value of If is an equilibrium solution of an equation of change involving , what is the value of when ? ​ when If is an equilibrium solution of an equation of change involving , what is the value of when ? ​ ? ​

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Question 2
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A

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? ​ is positive.What can you conclude about how the animal's weight can be expected to change? ​

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Question 3
Correct Answer:
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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. ​ .Round your answers to two decimal places, if necessary. ​

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Question 4

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. ​ .What is the carrying capacity of the environment for this particular population? Round your answer to two decimal places, if necessary. ​

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Question 5

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. ​ .Round your answer to two decimal places. ​

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Question 6

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? ​ .What is happening to the liquid in the tank when there are 53 liters present? ​

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Question 7

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

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Question 8

The function The function satisfies the equation of change .For what values of f is the graph of f versus x increasing? ​ 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? ​ .For what values of f is the graph of f versus x increasing? ​

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Question 9

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? ​ .What is happening to the liquid in the tank when there are 31 liters present? ​

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Question 10

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. ​ .For what values of the weight w is the animal losing weight? Round your answer to two decimal places. ​

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Question 11

Find the equilibrium solutions of the equation of change Find the equilibrium solutions of the equation of change . ​ . ​

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Question 12

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.

(True/False)
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Question 13

Find the equilibrium solution of the equation of change Find the equilibrium solution of the equation of change . ​ . ​

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Question 14

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. ​ 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. ​ .For what values of f is the graph of f versus x increasing? Round your answer to two decimal places, if necessary. ​

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Question 15

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. ​ .Consider only positive values of x.Round your answer to two decimal places, if nessary. ​

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Question 16

The function The function satisfies the equation of change .For what value of f is f increasing at the fastest rate? ​ satisfies the equation of change The function satisfies the equation of change .For what value of f is f increasing at the fastest rate? ​ .For what value of f is f increasing at the fastest rate? ​

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Question 17

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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Question 18

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

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Question 19

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. ​ .Round your answer to two decimal places, if necessary. ​

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