MATH 110  Exam 4  Fall 2010  All Sections
No books, notes, or calculators allowed.
Do NOT write on this exam.
There is no time limit.
1.
Which one of the conics is represented by the equation
2
x
2
+
6
x
!
3
y
2
=
6
x
!
1
(
)
+
9
(a)
circle
(b)
ellipse
(c)
hyperbola
(d)
parabola
(e)
none of the above
2.
Find the center of the ellipse
x
2
+
2
y
2
+
8
x
!
12
y
+
30
=
0
(a)
2,
2
(
)
(b)
!
4, 2
(
)
(c)
4, 2
(
)
(d)
!
4, 3
(
)
(e)
4,
!
3
(
)
3.
Find the asymptotes of the hyperbola
4
x
2
!
y
2
=
16
(a)
y
= ±
16
x
(b)
y
= ±
4
x
(c)
y
= ±
2
x
(d)
y
= ±
1
2
x
(e)
y
= ±
1
4
x
4.
Solve the following system of equations.
Find
y
.
3
x
+
2
y
!
3
z
=
!
1
2
x
+
3
y
+
4
z
=
8
x
+
y
+
z
=
3
"
#
$
%
$
(a)
y
=
!
2
(b)
y
=
1
(c)
y
=
2
(d)
y
=
3
(e)
y
=
6
5.
x
+
2
x
!
1
(
)
x
+
3
(
)
=
A
x
!
1
+
B
x
+
3
.
Find the product
A
!
B
.
(a)
A
!
B
=
"
3
(b)
A
!
B
=
"
1
(c)
A
!
B
=
"
5
16
(d)
A
!
B
=
3
16
(e)
A
!
B
=
1
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6.
Solve the following system of equations.
Find the product
x
"
y
.
3
x
"
2
y
=
0
2
x
"
3
y
=
5
#
$
%
(a)
x
"
y
=
0
(b)
x
"
y
=
3
2
(c)
x
"
y
=
7
3
(d)
x
"
y
=
6
(e)
No solution.
This system is inconsistent
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 Fall '08
 Staff
 Math, Geometric progression, 3 %, 3 $, 1 $, 3 %

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