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1. |
Find the distance between the points with the polar coordinates P1(3, 160°) and P2(5, 100°). |
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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. |
The graph of  is a _____. |
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A. |
lemniscate |
B. |
limaçon |
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C. |
rose |
D. |
circle |
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Hint |
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3. |
Find the rectangular coordinates of the point Q(-5, -35°). |
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A. |
(-4.10, -2.87) |
B. |
(4.10, 2.87) |
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C. |
(-4.10, 2.87) |
D. |
(4.10, -2.87) |
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Hint |
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4. |
Write the polar equation  in rectangular form. |
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A. |
x + y = 4x |
B. |
x + y = 2x2 |
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C. |
x2 + y2 = 2x |
D. |
x2 + y2 = 4x |
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Hint |
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5. |
Write the equation 3x - 8y = -4 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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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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7. |
The force on an object is represented by the complex number 8 + 7i, where the components are measured in newtons. What is the magnitude of the force? |
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A. |
about 1.09 N |
B. |
about 56.13 N |
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C. |
about 10.63 N |
D. |
about 15.67 N |
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Hint |
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8. |
Find the quotient  . Express the result in rectangular form. |
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A. |
-4i |
B. |
-4 |
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C. |
4 |
D. |
4i |
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Hint |
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9. |
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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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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10. |
Graph the point T . |
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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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11. |
Graph r = 5 sin (2 + 3°). |
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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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12. |
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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13. |
Simplify (3 + 4i) + (5 – 7i). |
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A. |
8 - 3i |
B. |
7 - 2i |
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C. |
15 - 28i |
D. |
-4 + 9i |
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Hint |
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14. |
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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15. |
Find  . |
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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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16. |
Solve the equation x4 - 81 = 0. |
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A. |
3, -3, 3i, -3i |
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B. |
3, -3,  , - |
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C. |
3, 3i,  ,  |
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D. |
3, -3i, ,  |
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Hint |
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