| |
| |
1. |
Find the distance between the points with the polar coordinates P1(3, 160°) and P2(5, 100°). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
The graph of is a _______. |
| |
|
A. |
rose |
B. |
circle |
| |
|
C. |
limaçon |
D. |
cardioid |
| |
|
Hint |
|
| |
3. |
The graph of is a ______. |
| |
|
A. |
cardioid |
B. |
spiral of Archimedes |
| |
|
C. |
rose |
D. |
circle |
| |
|
Hint |
|
| |
4. |
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 |
|
| |
5. |
Write the rectangular equation x2 + y2 = 9 in polar form. |
| |
|
A. |
r = 6 or r = -6 |
B. |
r = 9 or r = -9 |
| |
|
C. |
r = 18 or r = -18 |
D. |
r = 3 or r = -3 |
| |
|
Hint |
|
| |
6. |
Write in rectangular form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
What is the conjugate of –9 – 2i? |
| |
|
A. |
2 – 9i |
B. |
9 |
| |
|
C. |
–9 + 2i |
D. |
2 + 9i |
| |
|
Hint |
|
| |
8. |
Simplify (2 – 3i) ÷ (1 + i). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Find . Express the result in rectangular form. |
| |
|
A. |
-1024i |
B. |
1024 |
| |
|
C. |
1024i |
D. |
-1024 |
| |
|
Hint |
|
| |
10. |
Graph the point T . |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
Write the equation in rectangular form. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Another name for the complex plane is the _________ plane. |
| |
|
A. |
Cartesian |
B. |
polar |
| |
|
C. |
Argand |
D. |
rectangular |
| |
|
Hint |
|
| |
13. |
Another name for the absolute value of a complex number is the _______________. |
| |
|
A. |
amplitude |
B. |
modulus |
| |
|
C. |
real part |
D. |
argument |
| |
|
Hint |
|
| |
14. |
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. |
-14.50 - 3.83i |
| |
|
B. |
-1.63 + 14.91i |
| |
|
C. |
-0.87 + 7.95i |
| |
|
D. |
-8.83 + 12.13i |
| |
|
Hint |
|
| |
15. |
Find the quotient . Express the result in rectangular form. |
| |
|
A. |
 |
B. |
1.07 + 6.92i |
| |
|
C. |
 |
D. |
-6.96 - 0.76i |
| |
|
Hint |
|
| |
16. |
Solve the equation x4 - 81 = 0. |
| |
|
A. |
3, -3i, ,  |
| |
|
B. |
3, -3, 3i, -3i |
| |
|
C. |
3, 3i, ,  |
| |
|
D. |
3, -3, , - |
| |
|
Hint |
|
|
|