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Applied Calculus Study Set 1
Quiz 2: Nonlinear Functions and Models
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Question 21
True/False
The given table corresponds to the function
.
Question 22
Essay
Model the data using an exponential function
.
Question 23
Multiple Choice
Model the data using an exponential function
.
Select the correct answer.
Question 24
Multiple Choice
Find an equation for exponential function that passes through the pair of points
and
.
(
)
Question 25
Multiple Choice
Which of the following three functions will be largest for large values of x ? Select the correct answer.
Question 26
True/False
The given table corresponds to the function
.
Question 27
True/False
The given table corresponds to the function
.
Question 28
Essay
Model the data using an exponential function
.
Question 29
Multiple Choice
Given the graph of the functions
and
. Identify which graph corresponds to
.
Select the correct answer.
Question 30
Multiple Choice
Soon after taking an aspirin, a patient has absorbed 330 mg of the drug. If the amount of aspirin in the bloodstream decays exponentially with half being removed every 3 hours, find the amount of aspirin in the bloodstream after 7 hours. Select the correct answer.
Question 31
Short Answer
Find the equation for the exponential function that passes through the pair of points
and
.
(
)A = __________ b = __________
Question 32
Multiple Choice
Which of the following three functions will be smallest for large values of x ? Select the correct answer.
Question 33
Multiple Choice
Graph the function.
Select the correct answer.
Question 34
Multiple Choice
Given the graph of the functions
and
. Determine the color of the graph that corresponds to
.
Select the correct answer.
Question 35
Essay
Model the data using an exponential function
.
Question 36
Multiple Choice
Rock Solid Bank & Trust is offering a CD that pays 5% compounded continuously. How much interest would a $5,000 deposit earn over 15 years? (Round your answer to the nearest dollar.) Select the correct answer.
Question 37
Multiple Choice
Model the data using an exponential function
.
Select the correct answer.
Question 38
Multiple Choice
Model the data using an exponential function
.
Select the correct answer.
Question 39
Short Answer
The U.S. population was 180 million in 1960 and 240 million in 1990. Assuming exponential population growth, what will the population be in the year 2020? Round your answer to the nearest million. __________ million