yup! f(x) =x2 shows you how the function is affecting the variable
if the variable inside the parentheses is something other than x, it is affected the same way that x would be as long as the function is still f, and not some other function.
Sorry I copy pasted it but apparently the pi didn't work :S
Okay so then the answer for what φ equals to is
φ= (θ+2kπ)/n
and sn=r so
s= r1/n
and that gives me the argument and the modulus
so now to solve for z I write
z= r1/nei(θ+2kπ)/n
= (rei(θ+2kπ))1/n
Thanks again btw! :)
-Nick
I guess it's nφ = θ+2k so I substitute nφ for that.
My question is.. is that where it ends?
if the question states: put the solutions in the form z=seiφ would we keep nφ or still substitute it for θ+2k?
I'm getting myself confused :S
Thanks!
-Nick
ok okay thanks :) soo then
do I replace the φ with θ+2kπ? or rather nφ
and that's it? Or is there more to be done?
and shouldn't the answer in polar form be with φ as opposed to θ?
Thanks again :)
Hey! Sorry been busy for the past couple of days :(
Still stuck on this question though..
I'm slowly understanding how it works though :)
Soo Sneinφ=reiθ
I'm supposed to solve for z, but does that mean that I have to solve for s as well as φ individually or not?... which are the modulus...
Hey :) Thanks for the welcome as well as the help.
I'm not too sure where to find all those symbols really :( New too all this!
and I guess that I replace z in the equation with z=seiφ
so that Zn= [seiφ]n = reiθ
but then from there, how do you isolate each variable or constant so...
Homework Statement
I am entirely lost with this one question I can't seem to figure out how to do it at all. The question states that \omega is a complex number where \omega=(r)(e^(i \theta))
r and \theta are real numbers
r>0
\theta is element of [0,2\pi[
n is a positive integer
consider...