Name:
MATHEMATICS 23a, FALL 2007
Practice Quiz # 1
October 2007
(These were the instructions from last year, when this was the real quiz)
This is designed as a 45minute quiz, but you may work on it until 9 PM.
You get two chances on multiplechoice items 13. Bring up your paper for
grading as soon as you have answered them. A correct answer on the ﬁrst try
is worth 2 points. If your ﬁrst answer is wrong, a correct answer on the second
try is worth 1 point. Questions 4, 5, 6 and 7 are worth 3, 3, 4, and 4 points
respectively.
For purposes of this quiz, treat the following approximations as exact:
cos37
o
= sin 53
o
=
4
5
,
cos53
o
= sin37
o
=
3
5
Problem
1st Try
2nd Try
Points
Score
1
2
2
2
3
2
4
xxx
xxx
3
5
xxx
xxx
3
6
xxx
xxx
4
7
xxx
xxx
4
Total
20
1. The angle between the vectors
•
4
2
‚
and
•
2

1
‚
is
(a) 37
o
(b) 45
o
(c) 53
o
(d) arccos(
1
√
5
)
(e) arccos(
1
3
)
1
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T
:
Z
2
3
→
Z
2
3
is a linear transformation for which
T
•
[1]
3
0
‚
=
•
[2]
3
[1]
3
‚
T
•
0
[1]
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 Spring '10
 Bamberg
 Math, Rational number, Countable set, Xxx Xxx

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