Exam 1: Functions and Linear Models
Exam 1: Functions and Linear Models100 Questions
Exam 2: Nonlinear Functions and Models88 Questions
Exam 3: Introduction to the Derivative140 Questions
Exam 4: Techniques of Differentiation With Applications106 Questions
Exam 5: Further Applications of the Derivative85 Questions
Exam 6: The Integral71 Questions
Exam 7: Further Integration Techniques and Applications of the Integral117 Questions
Exam 8: Functions of Several Variables133 Questions
Exam 9: Trigonometric Models66 Questions
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Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for
. 


(Multiple Choice)
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If the income
is specified as a function of selling price
, which variable is independent and which one is dependent? Choose the correct letter for each question.


Correct Answer:
Premises:
Responses:
(Matching)
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Find the equation of the given linear function.
Please enter your answer as an equation of a linear function.

(Essay)
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The position of a model train, in feet along the railroad track, is given by
after
seconds. When will the train have moved a distance of 30 feet?


(Multiple Choice)
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The table shows soybean production, in millions of tons, in Brazil's Cerrados region, as a function of the cultivated area, in millions of acres. Use technology to obtain the regression line. Round coefficients to two decimal places. 

(Multiple Choice)
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Calculate the slope of the straight line through the points (4, 1)and (6, -5). Try to do the calculations mentally.
(Short Answer)
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Find the linear equation that is the straight line through (3, 5)and (9, 23). Please enter your answer as an equation in the form
.

(Essay)
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The chart shows second quarter total retail e-commerce sales in the U.S. in 1999, 2001 and 2003 (
represents 1999). Find the regression line. Round coefficients to two decimal places. Year t 0 2 4 Sales ($ Billion)4 8 13 Use the regression line to estimate second quarter retail e-commerce sales in 2002. Round your answer to two decimal places.

(Multiple Choice)
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In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature
and the Celsius temperature
are related by a linear equation, find the Fahrenheit temperature that correspond to 31 C, to the nearest degree.


(Multiple Choice)
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Graph shows the number of sports utility vehicles
sold in the United States.
represents sales in year
in thousands of vehicles. Find
. 





(Multiple Choice)
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The following table shows the approximate average household income in the U.S. in 1995, 2002, and 2003. (
represents 1995.)
Which of the following kinds of models would best fit the given data? ( A , a , b , c , and m are constants.)


(Multiple Choice)
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In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 200, and it is projected to rise to 275 in 2020. Model
as a piecewise linear function of the time
in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1955. (Round you answer to the nearest integer.)


(Multiple Choice)
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The value of U.S. trade with China from 1994 through 2001 can be approximated by
billion dollars (
is time in years since 1994). Find an appropriate domain of
.



(Multiple Choice)
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Match each function with the corresponding graph.
Correct Answer:
Premises:
Responses:
(Matching)
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