Math 116 — First Exam
October 10, 2007
Name:
Instructor:
Section:
1.
Do not open this exam until you are told to do so.
2. This exam has 10 pages including this cover. There are 8 problems. Note that the problems are not of
equal difficulty, and it may be to your advantage to skip over and come back to a problem on which you
are stuck.
3. Do not separate the pages of this exam. If they do become separated, write your name on every page
and point this out to your instructor when you hand in the exam.
4. Please read the instructions for each individual problem carefully. One of the skills being tested on this
exam is your ability to interpret mathematical questions, so instructors will not answer questions about
exam problems during the exam.
5. Show an appropriate amount of work (including appropriate explanation) for each problem, so that
graders can see not only your answer but how you obtained it. Include units in your answer where that
is appropriate.
6. You may use any calculator except a TI92 (or other calculator with a full alphanumeric keypad).
However, you must show work for any calculation which we have learned how to do in this course. You
are also allowed two sides of a 3
00
×
5
00
note card.
7. If you use graphs or tables to find an answer, be sure to include an explanation and sketch of the graph,
and to write out the entries of the table that you use.
8.
Turn off all cell phones and pagers
, and remove all headphones.
9. There is a partial table of integrals, and useful integrals for comparison of improper integrals, on the
first page of the exam (after this cover page). Any integrals or comparisons other than these should be
explicitly derived.
Problem
Points
Score
1
16
2
14
3
10
4
10
5
12
6
12
7
14
8
12
Total
100
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Math 116 / Exam 1
(October 10, 2007)
page 2
You may find the following partial table of integrals to be useful:
Z
e
ax
sin(
bx
)
dx
=
1
a
2
+
b
2
e
ax
(
a
sin(
bx
)

b
cos(
bx
) +
C
)
,
Z
e
ax
cos(
bx
)
dx
=
1
a
2
+
b
2
e
ax
(
a
cos(
bx
) +
b
sin(
bx
) +
C
)
,
Z
sin(
ax
) sin(
bx
)
dx
=
1
b
2

a
2
(
a
cos(
ax
) sin(
bx
)

b
sin(
ax
) cos(
bx
)) +
C, a
6
=
b,
Z
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 Spring '07
 Irena
 Math, Convergence, Riemann integral

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