Math 2263
Name (Print):
Spring 2016
Student ID:
Midterm 1
Section Number:
February 18, 2016
Teaching Assistant:
Time Limit: 50 minutes
Signature:
This exam contains 6 pages (including this cover page) and 6 problems. Check to see if any pages
are missing. Enter all requested information on the top of this page, and put your initials on the
top of every page, in case the pages become separated. Calculators may be used. Please turn off
cell phones! You are allowed to bring a bf crib sheet: one single  sided 8.5 inch
×
11 inch sheet of
notes into the exam.
Do not give numerical approximations to quantities such as sin 5,
π
, or
√
2. However, you should
simplify cos
π
2
= 0,
e
0
= 1, and so on.
The following rules apply:
•
Show your work
, in a reasonably neat and coherent way, in the space provided.
All
answers must be justified by valid mathematical reasoning.
To receive full credit on
a problem, you must show enough work so that your solution can be followed by someone
without a calculator.
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 Spring '08
 Staff
 Math, Critical Point, Multivariable Calculus, Stationary point

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