A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Find all complex numbers z satisfying...
anonymous
 3 years ago
Find all complex numbers z satisfying...

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[z^3 = 27i\] Answers are: \[z = 3i\] \[z = \frac{ 3\sqrt{3} }{ 2 }  \frac{ 3i }{ 2 }\] \[z = \frac{ 3\sqrt{3} }{ 2 }  \frac{ 3i }{ 2 }\]

mayankdevnani
 3 years ago
Best ResponseYou've already chosen the best response.0http://au.answers.yahoo.com/question/index?qid=20100318052317AAjz850

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353827474036:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how did you get pi/6?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i cant read the stuff at the top...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\huge i = e^{(3\pi/2 + 2n\pi)}\]\[\huge z^3 = 3^3e^{(3\pi/2 + 2n\pi)}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\huge z=\sqrt[3]{3^3}e^{(\large \frac{ 3\pi }{ 2 }+2n \pi)/3},\text{ } n=0,1,2\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how did you set up your first equation?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\huge z=3e^{\frac{ 3 \pi }{ 6 }+\frac{ 2 \pi }{ 3 }n},\text { }n=0,1,2\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353828234574:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can you please explain your steps

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for example, the 3pi/2 in the brackets

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it's in the unit circle drawn above

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do you use eulers equation? z = r(cos(angle) + i sin(angle))

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes, just slightly different notation \[re^{x i}=r(\cos x + i \sin x)\] dw:1353828628571:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0only 1 question though, for your first equation i = ... if you have a negative i, does that always mean 3pi/2
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.