Math 100  Section 102
Practice Problems for Midterm 1
October 5, 2010
First name(s):
Last name(s):
Student ID:
You have 50 minutes to complete the exam.
There are 8 problems worth a total of 100 points, plus one bonus problem worth 10 points.
No notes, formula sheets, calculators, or other electronic devices allowed.
Not all problems are of equal difficulty. Look over the exam and first attempt the problems that you know
how to do. Show all of your work.
Question
Points
1
/30
2
/10
3
/10
4
/10
5
/10
6
/10
7
/10
8
/10
9(BONUS)
/10
TOTAL
/100
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Here are some formulas that might come in handy:
cos(2
x
) = cos
2
(
x
)
−
sin
2
(
x
)
sin(2
x
) = 2 sin(
x
) cos(
x
)
(These hold for any
x
∈
R
.)
1.
[30]
ShortAnswer Questions:
Write your final answer in the box provided.
Each question is worth 3
points. Full points will be given for correct answers placed in the box and at most 1 mark will be given
for incorrect answers, based on any work you show outside of the box.
(a) State the domain of the function
f
, which is given by
f
(
x
) =
radicalbig
ln(
x
).
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 Fall '10
 LIOR
 Calculus, Derivative, Continuous function, Limit of a function, Graph of a function

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