Math 126  Winter 2007
Exam 1
January 25, 2007
Name:
Section:
Student ID Number:
TA’s Name:
1
12
2
10
3
12
4
12
5
14
Total
60
•
You are allowed to use a scientific calculator (no graphing calculators) and one
handwritten
8.5 by 11 inch page of notes. Put your name on your sheet of notes and turn it in with the
exam.
•
Check that your exam contains all the problems listed above.
•
You must show your work on all problems. The correct answer with no supporting work
may result in no credit.
•
If you need more room, use the backs of the pages and indicate to the grader that you have
done so.
•
Raise your hand if you have a question.
•
Any student found engaging in academic misconduct will receive a score of 0 on this exam.
•
You have 50 minutes to complete the exam.
GOOD LUCK!
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1. (12 points) Let
~a
=
<
3
,

1
,
2
>
and
~
b
= 5
~
i

7
~
j
+ 2
~
k
.
(a) (4 points) The equation for a sphere is given by
x
2
+ (
y

3)
2
+
z
2
= 12 + 12
x

4
z
. Find
the distance from the origin to the center of the sphere.
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 Spring '07
 Smith
 Math, Taylor Series, Mathematical Series, Taylor's theorem, Brook Taylor

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