1.
Graph the polar equation
r
= 2.5.
A.
B.
C.
D.
Hint
2.
Graph
A.
B.
C.
D.
Hint
3.
Find the rectangular coordinates of the point
Q
(-5, -35°).
A.
(-4.10, -2.87)
B.
(-4.10, 2.87)
C.
(4.10, 2.87)
D.
(4.10, -2.87)
Hint
4.
Write the equation 3
x
+ 4
y
= 9 in polar form.
A.
B.
C.
D.
Hint
5.
Write
in rectangular form.
A.
B.
C.
D.
Hint
6.
Simplify (2 – 7
i
)(4 + 2
i
).
A.
6 – 24
i
B.
22 – 6
i
C.
6 – 6
i
D.
22 – 24
i
Hint
7.
Express
in rectangular form.
A.
B.
C.
D.
Hint
8.
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 10.63 N
B.
about 15.67 N
C.
about 56.13 N
D.
about 1.09 N
Hint
9.
Find the product
. Express the result in rectangular form.
A.
6
B.
-6 +
i
C.
6
i
D.
-6
Hint
10.
Find the principal square root of 2
i
.
A.
1 +
i
B.
1 -
i
C.
-1 +
i
D.
-1 -
i
Hint
11.
Find
. Express the result in rectangular form.
A.
-1024
i
B.
1024
i
C.
1024
D.
-1024
Hint
12.
The point
P
with polar coordinates
can also be represented in polar coordinates as __________.
A.
B.
C.
D.
Hint
13.
Graph
r
= 5 sin (2
+ 3°).
A.
B.
C.
D.
Hint
14.
Write the polar equation
r
= 5 sin
in rectangular form.
A.
x
2
+
y
2 = 5
x
B.
C.
D.
x
2
+
y
2
= 5
y
Hint
15.
Simplify (3 + 4
i
) + (5 – 7
i
).
A.
-4 + 9
i
B.
7 - 2
i
C.
15 - 28
i
D.
8 - 3
i
Hint
16.
Find the product
. Express the result in rectangular form.
A.
-54
B.
54
i
C.
-54
i
D.
54
Hint