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1. |
Graph the point P(5, 60°). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Graph the polar equation = . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Graph  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Find the polar coordinates of R(-5, -7). |
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A. |
(4.90, 0.95) |
B. |
(8.60, 4.09) |
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C. |
(4.90, 4.09) |
D. |
(8.60, 0.95) |
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Hint |
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5. |
Write the equation 5x - 2y = 7 in polar form. Round to the nearest degree. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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6. |
Simplify (2 – 3i) ÷ (1 + i). |
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B. |
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C. |
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D. |
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Hint |
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7. |
Find the absolute value of the complex number . |
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A. |
1 |
B. |
2 |
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C. |
-2 |
D. |
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Hint |
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8. |
Use polar form to find the product (4 + 4i)(-2 + 2i). Express the result in rectangular form. |
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A. |
-16i |
B. |
16 |
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C. |
16i |
D. |
-16 |
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Hint |
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9. |
The graph of 8 + 8 cos is a ________. |
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A. |
limaçon |
B. |
cardioid |
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C. |
rose |
D. |
spiral of Archimedes |
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Hint |
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10. |
Write the rectangular equation x2 + (y + 6)2 = 36 in polar form. |
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A. |
r = -6 sin  |
B. |
r = 12 sin  |
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C. |
r = -12 sin  |
D. |
r = 6 sin   |
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Hint |
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11. |
Write the polar equation 7 = r cos ( - 2.3) in rectangular form, rounding the coefficients of x and y to the nearest hundredth. |
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A. |
0.75x + 0.67y + 7 = 0 |
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B. |
-0.75x - 0.67y - 7 = 0 |
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C. |
0.67x - 0.75y + 7 = 0 |
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D. |
0.75x - 0.67y - 7 = 0 |
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Hint |
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12. |
Simplify . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
Express the number in rectangular form. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Find the product . Express the solution in rectangular form. |
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A. |
-3 |
B. |
3 |
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C. |
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D. |
0 |
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Hint |
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15. |
Find the principal fourth root of 256i. Leave the result in polar form. |
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A. |
4 |
B. |
4 (cos 0 + i sin 0) |
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C. |
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D. |
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Hint |
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16. |
Solve the equation x4 - 81 = 0. |
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A. |
3, -3, , - |
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B. |
3, -3, 3i, -3i |
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C. |
3, -3i, ,  |
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D. |
3, 3i, ,  |
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Hint |
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