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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Calculate the slope of the straight line through the points
and
. Try to do the calculations mentally.


Free
(Multiple Choice)
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Correct Answer:
A
A car that was being pursued by the police was at Jones Beach at exactly 9:57 p.m. ( t = 0), and passed Oak Beach (13 miles from Jones Beach)at exactly 10:05 p.m.,where it was overtaken by the police. How fast, in miles per minute, was the car traveling? (Round your answer to the nearest tenth.)
Free
(Multiple Choice)
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Correct Answer:
C
The demand for your college newspaper is 1200 copies per week if the paper is given a way free of charge, and the demand drops to 600 if the charge is $0.10 per copy. However, the university is prepared to supply only 500 copies per week free of charge but will supply 2500 per week at $0.50 per copy. At what price should the college newspapers be sold so that there is neither a surplus nor a shortage of papers?
Free
(Multiple Choice)
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Correct Answer:
D
A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 7:00 p.m. ( t = 0), and was at Oak Beach, 13 miles from Jones Beach, at exactly 7:04 p.m. How fast was the police car traveling? (Round your answer to the nearest tenth.)
(Multiple Choice)
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Find the linear equation that is the straight line through
with slope
. Please enter your answer as an equation in the form
.



(Essay)
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The height of the falling sheet of paper, in feet from the ground, is given by
after
seconds. When will the sheet of paper reach the ground?


(Multiple Choice)
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Calculate the slope of the straight line through the points (4, 3)and (9, 13).
(Multiple Choice)
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In 2004 the Texas Bureau of Economic Geology published a study on the economic impact of using carbon dioxide enhanced oil recovery (EOR)technology to extract additional oil from fields that have reached the end of their conventional economic life. The table gives the approximate number of jobs for the citizens of Texas that would be created at various levels of recovery. Find the regression line. Use the regression line to estimate the number of jobs that would be created at a recovery level of 55%. 

(Multiple Choice)
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Find the linear equation that is the straight line through (8, 3)and parallel to the line given.
Please enter your answer as an equation in the form
.


(Essay)
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Calculate the slope of the straight line through the points
and
. Try to do the calculation mentally.


(Multiple Choice)
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You can sell 95 pet chias per week if they are marked as $5 each,but only 45 per week if they are marked $6 per chia. Your chia supplier is prepared to sell you 20 chias per week if they are marked $5 per chia, and 70 per week if they are marked $6 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias?
(Multiple Choice)
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Annual federal spending on Medicare increased more or less linearly from $65 billion in 1973 to $128 billion in 1994. Use these data to express
, the annual spending on Medicare (in billions of dollars), as a linear function of
, the number of years since 1973.


(Multiple Choice)
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The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 units in 2005. The selling price will be $3 per unit. Variable costs are estimated to be 10% of total revenue. Fixed costs are estimated to be $10,800 for 2005. How many units should the company sell to break even?
(Multiple Choice)
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If the income
is specified as a function of time
, which variable is independent?


(Multiple Choice)
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