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Mathematics 6 Online
OpenStudy (anonymous):

Bahrrommm I gotta another stupid question

OpenStudy (anonymous):

OpenStudy (anonymous):

hey

OpenStudy (bahrom7893):

hi

OpenStudy (bahrom7893):

this reminds me.. e^(i*pi) = -1. What class is this? calc 2?

OpenStudy (anonymous):

yes

OpenStudy (bahrom7893):

Pippa, just so u know.. I suck at series. I hated that part of Calc 2

OpenStudy (anonymous):

well i gotta hand in work that i never even studied yet lol

OpenStudy (anonymous):

I am sooooo behind

OpenStudy (bahrom7893):

What was the e^x Maclaurin Expansion? 1 + x + x^2/2! + x^3/3! + ... + x^n/n! right?

OpenStudy (anonymous):

lol hahaha i didnt even touch that so like i kind of dont know any of this stuff

OpenStudy (anonymous):

eix = cos(x) + i*sin(x) For what values of x will the above equal i? i = cos(x) + i*sin(x) When is cos(x) = 0 and sin(x) = 1? When x = π/2: So, i = eiπ/2 So, ii = (eiπ/2)i = e-π/2 de Moivre's formula: (cos(x) + i*sin(x))n = cos(nx) + i*sin(nx) 31+i = 3*3i = 3*ei*ln(3) = 3(cos(ln(3)) + i*sin(ln(3))) 3*cos(ln(3)) + 3*i*sin(ln(3)) = 1.364 + 2.672*i

OpenStudy (anonymous):

this is what i found on cramster. i paid two bucks for it. Do u think its correct

OpenStudy (bahrom7893):

u paid 2 bucks for it..

OpenStudy (anonymous):

lol ya

OpenStudy (anonymous):

1.99 to be exact

OpenStudy (bahrom7893):

I could've done that myself.

OpenStudy (anonymous):

lol hahaha

OpenStudy (bahrom7893):

I mean just calculating the value for 3^(1+i)

OpenStudy (anonymous):

so u want me to pay u two bucks for every answer?????

OpenStudy (bahrom7893):

That's the easy part apparently, and yes it is correct, though i think u have a typo

OpenStudy (bahrom7893):

No pippa i said u wasted ur 2 bucks

OpenStudy (anonymous):

lol i was just teasing u

OpenStudy (anonymous):

whats the mistake?

OpenStudy (bahrom7893):

ii = (eiπ/2)i = e(-π)/2 there's a difference between e-pi and -e*pi

OpenStudy (anonymous):

ohhhh i seee

OpenStudy (bahrom7893):

hold on let me write this on paper, i get confused if i type

OpenStudy (anonymous):

lol ok i am waiting patiently :D

OpenStudy (bahrom7893):

do u know how in the world the answerer got to the third line?

OpenStudy (bahrom7893):

i = cos(x) + i*sin(x).. where did that come from?

OpenStudy (anonymous):

lol no

OpenStudy (bahrom7893):

can u post a screen of cramster's solution? because what I got was not i = Cos(x)+i*Sin(x) I got: i = ln(Cos(x)+i*Sin(x))/x

OpenStudy (bahrom7893):

Maybe it somehow magically turns to cos(x)+i*sin(x) but that's weird.. that would mean e^ix = i

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

This is the exact answer

OpenStudy (bahrom7893):

oh crap...

OpenStudy (bahrom7893):

http://en.wikipedia.org/wiki/Euler's_formula_in_complex_analysis Euler got the same thing as me lol.. i mean that's algebra

OpenStudy (bahrom7893):

ughh i've gotten way too many questions wrong and was unable to solve way too many questions today...

OpenStudy (anonymous):

arrrrrrrrggggghhhhhh today is the worst day

OpenStudy (anonymous):

haha never give up lol

OpenStudy (bahrom7893):

this one's driving me nuts... hold on... i'll find out why i = Cos(x) + i*Sin(x)

OpenStudy (anonymous):

kk thanks

OpenStudy (bahrom7893):

"Bahrom's onto something" ~ Abraham Lincoln

OpenStudy (anonymous):

hahahahahah okkkkk

OpenStudy (bahrom7893):

OMFG.. they skipped like 7-8 steps.. no wonder..

OpenStudy (anonymous):

ohhh ok

OpenStudy (bahrom7893):

i figured out how they got to the 3rd line.. solving the rest..

OpenStudy (anonymous):

can u show me those steps

OpenStudy (bahrom7893):

i think im halfway done.. let me just finish..

OpenStudy (anonymous):

kk thanks

OpenStudy (bahrom7893):

Ok, proved the first part, with all the steps.. taking a pic and attaching.. hold on

OpenStudy (bahrom7893):

OpenStudy (anonymous):

thanks :DDDDDDDD

OpenStudy (bahrom7893):

When is Cosx = 0 and Sinx = 1 is supposed to have a question mark not a comma lol.

OpenStudy (anonymous):

ohhhh ok

OpenStudy (anonymous):

bahrom i cant really see it do u mind to type bt dont feel like u have to

OpenStudy (bahrom7893):

sure hold on.

OpenStudy (anonymous):

THANKS :D

OpenStudy (bahrom7893):

First part (sorry I cheated, i'm rewriting this in smaller portions to get higher res)

OpenStudy (anonymous):

lol thanks

OpenStudy (anonymous):

ohhhh its much better

OpenStudy (anonymous):

Thanks

OpenStudy (bahrom7893):

OpenStudy (anonymous):

ohh so the first one is first

OpenStudy (anonymous):

ohh so the first one is first

OpenStudy (bahrom7893):

yea.. ill just post one more.. and that completes the first half of the question

OpenStudy (anonymous):

lol ok thanks

OpenStudy (anonymous):

I am just gonna post ur exact pictures lol. I hope my prof wont realize its not my handwriting

OpenStudy (bahrom7893):

Last part: That says gives.. now moving on to the 2nd part of the question

OpenStudy (bahrom7893):

lol the steps were epic hahaha

OpenStudy (anonymous):

what does epic mean?

OpenStudy (bahrom7893):

superawesome!

OpenStudy (anonymous):

hahahahahahaha

OpenStudy (anonymous):

U R epic

OpenStudy (anonymous):

I seriously hope my prof wont realize that it isnt my handwriting

OpenStudy (anonymous):

Hey thanks. That was awesome seriously

OpenStudy (bahrom7893):

np.. working on the rest

OpenStudy (anonymous):

ohh there is more to it?

OpenStudy (anonymous):

it is totally never ending

OpenStudy (bahrom7893):

YES.. that was only the first half.. we still gotta do the De Moivre's formula

OpenStudy (anonymous):

hahahahahaha omg

OpenStudy (bahrom7893):

done, takin pix

OpenStudy (anonymous):

LOL I am seriously just copying and pasting these pics i hope they r not copyrighted

OpenStudy (bahrom7893):

OpenStudy (bahrom7893):

DONE!

OpenStudy (anonymous):

This one i sso clear!!!! That was awesome

OpenStudy (anonymous):

OMG I am such a cheater

OpenStudy (bahrom7893):

my workplace is a mess....

OpenStudy (anonymous):

its perfect

OpenStudy (bahrom7893):

lol u're welcome :) i meant my desk and stuff around it is a mess

OpenStudy (anonymous):

ohhh LOL So u want ur two bucks?????????

OpenStudy (bahrom7893):

hey.. dont insult me.. come on :/ i dont do this for money

OpenStudy (anonymous):

I was just teasing :D

OpenStudy (anonymous):

K seriously thanks. I may have two more questions but they will be on linear algebra i wldnt want to bother u with those LOL

OpenStudy (bahrom7893):

lol i suck at it, at least im honest

OpenStudy (anonymous):

hahahaha ok gnite. Isnt it 1 am at ur place?

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