Math 13
Exam 1 Review
Spring 2007
Since you will not be permitted to use calculators during the exam, you should avoid the use of
calculators in working these problems. Practice showing all steps of your work; write neatly and in
complete sentences. Model solutions to these problems will be posted on the Math 13 blackboard
website. Solving the problems on this review sheet should be useful to your exam preparation, but
the exam may contain problems about the material covered in class which are not identical to those
found here.
1. Describe in words and sketch the surfaces and regions in space represented by the following
equations or inequalities.
a)
x
=
z
b)
x
2
> y
2
+
z
2
c)
x
2
+
y
2
+
z
2
= 4
y
d)
y
2
+
z
2
≤
4
e)
xy
= 0
f)
xyz
= 0
g)
z
=
−
2
h) 1
< x
2
+
y
2
+
z
2
<
4
i)
xy
= 1
2.
a) Let
vectora
=
(
1
,
−
3
,
2
)
and
vector
b
=
(
0
,
2
,
3
)
.
Compute the scalar projection comp
vectora
vector
b
and the
vector projection proj
vectora
vector
b
of
vector
b
onto
vectora
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '07
 Weiss
 Math, 25 cm, 1 g, 30 cm, 50 cm, 05 cm

Click to edit the document details