Math 105 — Second Midterm
November 16, 2009
Name:
Instructor:
Section:
1.
Do not open this exam until you are told to do so.
2. This exam has 12 pages including this cover. There are 11 problems. Note that the problems
are not of equal difficulty, so you may want to skip over and return 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.
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.
Problem
Points
Score
1
12
2
8
3
13
4
9
5
15
6
7
7
4
8
4
9
12
10
10
11
6
Total
100
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Math 105 / Exam 2 (November 16, 2009)
page 2
1
. [12 points] For each statement below, circle TRUE if the statement is
always
true. Otherwise,
circle FALSE. Justification is not expected for these problems.
a
. [2 points] If
f
(
x
) is an odd function, then the graphs of
f
(
x
) and
g
(
x
) =

f
(

x
) are the
same.
True
False
b
. [2 points]
If
h
(
x
) is a function, then the range of
h
(
x
) is the same as the range of
h
(2
x
).
True
False
c
. [2 points]
log(
a
b
) =
log(
a
)
log(
b
)
True
False
d
. [2 points]
log(
e
3
y
) = 3
y
.
True
False
e
. [2 points]
The angle determined by an arc of length 3
π
meters on a circle of radius 18
meters is 30 degrees.
True
False
f
. [2 points]
Let
w
(
x
) be a periodic function. Suppose that
w
(0) =
w
(
π
). Then the period
of
w
(
x
) must be
π
.
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 Fall '08
 Rhea
 Math, 1979, 1916, 1946, Detroit Tigers

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