1.
Graph the polar equation
=
.
A.
B.
C.
D.
Hint
2.
Find the distance between the points with the polar coordinates
P
1
(3, 160°) and
P
2
(5, 100°).
A.
B.
C.
D.
Hint
3.
The graph of
is a ______.
A.
circle
B.
spiral of Archimedes
C.
rose
D.
cardioid
Hint
4.
Write the polar equation
in rectangular form.
A.
x
2
+
y
2
= 4
x
B.
x
+
y
= 2
x
2
C.
x
2
+
y
2
= 2
x
D.
x
+
y
= 4
x
Hint
5.
Write the equation 3
x
- 8
y
= -4 in polar form. Round
to the nearest degree.
A.
B.
C.
D.
Hint
6.
Express the complex number -4 - 3
i
in polar form.
A.
B.
C.
D.
Hint
7.
The force on an object is represented by the complex number 8 + 7
i
, where the components are measured in newtons. What is the magnitude of the force?
A.
about 15.67 N
B.
about 1.09 N
C.
about 10.63 N
D.
about 56.13 N
Hint
8.
Find the product
. Express the result in rectangular form.
A.
-6 +
i
B.
6
C.
-6
D.
6
i
Hint
9.
Find (1 +
i
)
-6
.
A.
B.
C.
D.
Hint
10.
Graph
r
= 5 sin (2
+ 3°).
A.
B.
C.
D.
Hint
11.
Write the rectangular equation
x
2
+ (
y
+ 6)
2
= 36 in polar form.
A.
r
= -12 sin
B.
r
= 6 sin
C.
r
= 12 sin
D.
r
= -6 sin
Hint
12.
Write the equation 7
x
- 2
y
= 2 in polar form.
A.
B.
C.
D.
Hint
13.
What is the complex conjugate of
a
-
bi
, if
a
and
b
are real numbers?
A.
a
-
b
i
B.
a
2
+
b
2
-
ab
i
C.
a
+
b
i
D.
Hint
14.
Evaluate
i
4
n
+2
, where
n
is a positive integer.
A.
-1
B.
-
i
C.
1
D.
i
Hint
15.
Find the quotient
. Express the result in rectangular form.
A.
1.07 + 6.92
i
B.
-6.96 - 0.76
i
C.
D.
Hint
16.
Find
.
A.
B.
C.
D.
Hint