Finding Intercepts & Modulus of z3=3e^(-ipie/4)

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Homework Help Overview

The discussion revolves around the expression z3 = 3e-iπe/4, focusing on identifying intercepts on the imaginary axis and determining the modulus. The subject area includes complex numbers and their properties.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of the expression, questioning whether it represents a function and what the independent variable is. There are discussions about the implications of using z3 versus z.

Discussion Status

The discussion is ongoing, with participants providing insights into the nature of the expression and referencing Euler's formula. There is a recognition that the expression may not represent a function in the traditional sense, leading to further exploration of its properties.

Contextual Notes

Some participants express confusion regarding the definition of the independent variable and the interpretation of the expression as a function.

Ry122
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For z3=3e^(-ipie/4) where does the function intercept the imaginary axis and what is the modulus?
 
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Ry122 said:
For z3=3e^(-ipie/4) where does the function intercept the imaginary axis and what is the modulus?


I don't understand how this is supposed to be a function. What is your independent variable..? z..? z3..? z^3..?
 
sorry just let z3=z
 
Recall Euler's formula for that one.
 
Still, [itex]z=3e^{-i\pi \frac{e}{4}}[/itex] is not a function but some fixed constant number.
 

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