SFM19613
SFM19613 SFM19613
  • 24-12-2018
  • Mathematics
contestada

Find the value of
[tex] {x}^{i} [/tex]
for all x belongs to Real Numbers and i = √(-1).

Respuesta :

tramserran
tramserran tramserran
  • 29-12-2018

Answer: cis (ln x) ; x > 0

Step-by-step explanation:

  [tex]x^i[/tex]

[tex]= e^{ln(x^i)}[/tex]

[tex]=e^{i \ln(x)}[/tex]

= cos (ln x) + i sin (ln x)

AKA: cis (ln x)


NOTE: I found this following formula which you may find useful:

[tex]A^i = x + iy[/tex]

Answer Link

Otras preguntas

treinte + catorce = ??
examples of nationalism in france and germany
Which of the following was a result of the Agricultural Revolution A) Farming output decreases. B) More people are needed on farms to grow food. C) Farming beco
How are dealing with the obstacles and responsibilities now that will prepare you to deal with them in the future?
Infant cpr You Are in a restaurant and your infant has become very still and her skin is turning an odd bluish color what should you do
PALU UUU 1. (DOK 2) Find the Circumference of the figure. Use 3.14 for T. Round to the nearest tenths place 7.6 m NO Links please ​
Does this person sound patriotic about America? If so, quote some evidence of this below.
What is the area of the triangle?
Which expression is equivalent to 16x+20y?
Which of the following shows the correct way to connect 2 ideas with a coordinating conjunction A. I don't believe that horseshoes are lucky; but I never go an