Unit Test — Unit test Answers

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What is the value of ?

Question illustration
A
–3 + 6i
B
3 + 6i
C
5 + 5i
D
5 – 5i
22
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Which pair of complex numbers has a real-number product?

A
(1 + 2i)(8i)
B
(1 + 2i)(2 – 5i)
C
(1 + 2i)(1 – 2i)
D
(1 + 2i)(4i)
23

Given w = and , what is w – z expressed in polar form?

Question illustration
A
StartRoot 2 EndRoot (cosine (StartFRaction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
Option A
B
StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) )
Option B
C
StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi Over 4 EndFraction) )
Option C
D
StartRoot 2 EndRoot (cosine (StartFraction 7 pi Over 4 EndFraction) + I sine (StartFraction 7 pi Over 4 EndFraction) )
Option D
24

Let z = and .What is the product of zw?

Question illustration
A
40 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
Option A
B
76 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
Option B
C
40 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )
Option C
D
76 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )
Option D
25

In a video game, two objects move around the screen according to the equations r = 4cos(θ) and r = –1 + 2cos(θ). Which coordinates represent a possible collision point of the objects?

A
(Negative 2, StartFraction 2 pi Over 3 EndFraction)
Option A
B
(Negative 2, StartFraction 5 pi Over 6 EndFraction)
Option B
C
(2, StartFraction 2 pi Over 3 EndFraction)
Option C
D
(2, StartFraction 5 pi Over 6 EndFraction)
Option D

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Unit Test — Unit test Answers — Precalculus