1.
Graph the point
.
A.
B.
C.
D.
Hint
2.
Graph the polar equation
r
= 2.5.
A.
B.
C.
D.
Hint
3.
The graph of
is a ______.
A.
circle
B.
rose
C.
cardioid
D.
spiral of Archimedes
Hint
4.
Write the polar equation
in rectangular form.
A.
x
2
+
y
2
= 4
x
B.
x
2
+
y
2
= 2
x
C.
x
+
y
= 2
x
2
D.
x
+
y
= 4
x
Hint
5.
Write the equation 3
x
+ 4
y
= 9 in polar form.
A.
B.
C.
D.
Hint
6.
Write the equation 3
x
- 8
y
= -4 in polar form. Round
to the nearest degree.
A.
B.
C.
D.
Hint
7.
Solve the equation 3
x
+
y
+ 2
i
= 12 +
x
i
-
y
i
for
x
and
y
, where
x
and
y
are real numbers.
A.
B.
C.
D.
Hint
8.
Find
.
A.
B.
C.
D.
Hint
9.
Find
. Express the result in rectangular form.
A.
1024
B.
1024
i
C.
-1024
i
D.
-1024
Hint
10.
Which equation could represent a lemniscate?
A.
r
= 4 sin 2
B.
C.
r
= 4 cos 4
D.
Hint
11.
Write the rectangular equation
x
2
+ (
y
+ 6)
2
= 36 in polar form.
A.
r
= -6 sin
B.
r
= 6 sin
C.
r
= 12 sin
D.
r
= -12 sin
Hint
12.
Simplify (3 + 4
i
) + (5 – 7
i
).
A.
8 - 3
i
B.
-4 + 9
i
C.
7 - 2
i
D.
15 - 28
i
Hint
13.
What is the complex conjugate of
a
-
bi
, if
a
and
b
are real numbers?
A.
a
-
b
i
B.
C.
a
2
+
b
2
-
ab
i
D.
a
+
b
i
Hint
14.
Evaluate | 5 – 2
i
|.
A.
B.
29
C.
D.
21
Hint
15.
Find the product 3 (cos 2.8 +
i
sin 2.8) · 5 (cos 0.6 +
i
sin 0.6). Express the answer in rectangular form, approximating
a
and
b
to the nearest hundredth.
A.
-0.87 + 7.95
i
B.
-14.50 - 3.83
i
C.
-8.83 + 12.13
i
D.
-1.63 + 14.91
i
Hint
16.
Find the product
. Express the solution in rectangular form.
A.
-3
B.
3
C.
0
D.
Hint