MATH 2203 °Exam 1 (Version 1) Solutions
September 14, 2009
S. F. Ellermeyer
Name
Instructions.
Your work on this exam will be graded according to two criteria:
mathe
matical correctness
and
clarity of presentation
. In other words, you must know what
you are doing (mathematically) and you must also express yourself clearly. In particular,
write answers to questions using correct notation and using
complete sentences
where
appropriate. Also, you must supply su¢ cient detail in your solutions (relevant calculations,
written explanations of why you are doing these calculations, etc.). It is not su¢ cient to just
write down an °answer±with no explanation of how you arrived at that answer. As a rule
of thumb, the harder that I have to work to interpret what you are trying to say, the less
credit you will get. You may use your calculator but you may not use any books or notes.
1. Find an equation for the sphere with center
(1
;
°
8
;
7)
and radius
4
. (This is a very
short problem. You can just write down the answer.)
Answer:
(
x
°
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 Fall '10
 Ellermeyer
 Math, Polar coordinate system, cylindrical coordinates, Hyperboloid, Ellipsoid, Paraboloid

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