Let f (2) = . The questions that follow will all revolve around this complex-valued function. 1. The value of 25f (2 + 4i) is equal to a+ ibwhere a, b e R and i? = -1What is the value of 10a + b

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Let f (2) = . The questions that follow will all revolve around this complex-valued function.
1. The value of 25f (2+4i) is equal to a +ibwhere a, b eR and i? = -1What is the value of 10a + b
2. Now consider the equations | arg (f (z))|= 5 and |f (2)| = 1. They are the equations of
a line and a circle respectively.
a line and a line respectively.
a hyperbola and a line respectively.
a line and a hyperbola respectively.
a circle and a line respectively.
Oa circle and a circle respectively.
a circle and a hyperbola respectively.
a hyperbola and a circle respectively.
a hyperbola and a hyperbola respectively.
Transcribed Image Text:Question: Let f (2) = . The questions that follow will all revolve around this complex-valued function. 1. The value of 25f (2+4i) is equal to a +ibwhere a, b eR and i? = -1What is the value of 10a + b 2. Now consider the equations | arg (f (z))|= 5 and |f (2)| = 1. They are the equations of a line and a circle respectively. a line and a line respectively. a hyperbola and a line respectively. a line and a hyperbola respectively. a circle and a line respectively. Oa circle and a circle respectively. a circle and a hyperbola respectively. a hyperbola and a circle respectively. a hyperbola and a hyperbola respectively.
3. Let a be a complex number that satisfies both the equations from the previous question. Which of
the following are possible arguments of the cube roots of a?
57
6
Transcribed Image Text:3. Let a be a complex number that satisfies both the equations from the previous question. Which of the following are possible arguments of the cube roots of a? 57 6
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