Math 1210-007
Final Examination
Fall 2010
December 16, 2010
Final Examination
Instructions: This exam is closed book, closed notes and closed homework. You
may use a calculator to assist you with any arithmetic. It is not necessary to show
your work for multiple choice questions, simply circle the letter corresponding to
the correct answer. For all of the free response questions, please show all of your
work to the level of detail that is specified in the instructions for that particular
problem. You MUST write your final answer in the space provided to receive full
credit. There are TEN free response questions on this exam but you are only
required to answer SEVEN of them. You MUST indicate below which seven
problems you want me to grade. You have two hours to complete this exam
though you may turn in your exam and leave as soon as you finish.
Recommendation: You do not need to work on these problems in order. I would
suggest first answering the ones you find the easiest. Then go back and work on
the harder ones at the end. Try to decide early on which of the seven free response
questions you will attempt and mark an "X" in each of the corresponding boxes
below. If you finish early I would suggest double checking all of your work, just
in case you made a few very simple mistakes.
ATTENTION: Put an "X" in each box that corresponds to the seven free response
questions you would like me to grade. If you there are no X's in any of the boxes
below I will not grade any of your work in the free response section!!
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Name: ____________________________________
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Math 1210-007
Final Examination
Fall 2010
December 16, 2010
Multiple Choice Section
Directions: Please circle the letter corresponding to the correct answer. Each question is worth
3 points.
[Picture of a graph]
[There will be TEN questions in the multiple choice section. Some will ask about certain
properties of a function that is graphed for you, but for which you are not given an explicit
formula. Other questions will ask you about properties of derivatives, anti-derivatives, and
integrals. In some cases you may need to evaluate derivatives or definite integrals]
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Free Response Section
Directions: Show all of your work when answering these questions and write your final answer
in the space provided. Each question is worth 10 points. Most of the credit will be awarded for
doing the calculus correctly and showing the appropriate steps. A correct final answer with no
work supporting it will receive no points!! You MUST write your final answer in the space
provided to receive full credit!
Reminder: You only need to answer SEVEN of the TEN free response questions listed below.
Indicate on the first page which of the seven problems you would like me to grade.
[There will be TEN free response questions but you are only required to answer SEVEN. You
must indicate on the first page of the exam which seven you would like me to grade. There is a
box next to each part of each question in which you must write your final answer.]
Example:
1.
Let
be the antiderivative of
such that
. What is
?
Note: For the above example you would write your final answer in the box, but you need to
show your work in the space below the question. In this case you would need to demonstrate
that you know how to anti-differentiate properly. You would also need to use the fact that
to correctly determine the value of C.