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1. |
Graph the point P(5, 60°). |
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2. |
Graph the point . |
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3. |
Find the polar coordinates of R(-5, -7). |
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A. |
(4.90, 4.09) |
B. |
(4.90, 0.95) |
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C. |
(8.60, 0.95) |
D. |
(8.60, 4.09) |
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Hint |
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4. |
Simplify the expression (5 – 2i) – (2 – 7i). |
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A. |
3 + 5i |
B. |
7 + 5i |
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C. |
7 – 9i |
D. |
3 – 9i |
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Hint |
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5. |
Simplify (2 – 7i)(4 + 2i). |
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A. |
6 – 6i |
B. |
6 – 24i |
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C. |
22 – 6i |
D. |
22 – 24i |
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Hint |
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6. |
Solve the equation 3x + y + 2i = 12 + xi - yi for x and y, where x and y are real numbers. |
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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. |
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D. |
-2 |
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8. |
In a circuit with alternating current, , where E represents voltage, I current, and Z impedance. Determine the voltage in a circuit where there is a current of amps and an impedance of ohms. |
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9. |
Find . |
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10. |
Graph r = 5 sin (2 + 3°). |
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11. |
Which equation could represent a lemniscate? |
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A. |
r = 4 sin 2 |
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B. |
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D. |
r = 4 cos 4 |
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Hint |
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12. |
Find the rectangular coordinates of the point R . |
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B. |
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C. |
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D. |
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13. |
Write the equation in rectangular form. |
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B. |
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14. |
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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15. |
Find the quotient . Express the result in rectangular form. |
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A. |
-6.96 - 0.76i |
B. |
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C. |
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D. |
1.07 + 6.92i |
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Hint |
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16. |
Find the principal fourth root of 256i. Leave the result in polar form. |
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A. |
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B. |
4 (cos 0 + i sin 0) |
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C. |
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D. |
4 |
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Hint |
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