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Algebra/Trig Competition Ahmed VS Lev

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1Algebra/Trig Competition Ahmed VS Lev Empty Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 6:50 pm

Justice

Justice
NH Member
NH Member

I will give you the honor of starting =]

Ahmed

Ahmed
NH Admin
NH Admin

Okey Dokes Young one Razz
================================
Let's start out easy:

Rewrite the expression as an algebraic expression in x:

cos(sin^-1 (x) + cos^-1 (x))

Justice

Justice
NH Member
NH Member

Zero

Ahmed

Ahmed
NH Admin
NH Admin

Show your work man. Wink

Justice

Justice
NH Member
NH Member

solution:
cos(x+y)= cosxcosy-sinxsiny
cos(sin^-1x + cos^-1 x)

Let sin^-1x = u
Let cos^-1 x= v

cos( u + v) = cos u cos v - sin u sin v = cos(sin ^-1x) cos (cos-1x) - sin( sin^-1x) sin (cos -1x)

ok so... we know sin(sin-x) and cos(-x) are both equal to x and cos(sin ^-1x)= sin (cos -1x)
so we can assume x-x=0



Last edited by lev_93 on Thu May 13, 2010 7:53 pm; edited 1 time in total

Ahmed

Ahmed
NH Admin
NH Admin

Ok Im waiting and it seems you got it. Very good.

Ahmed: 0
Lev: 1

Your turn.

Justice

Justice
NH Member
NH Member

Here is something easy
Simplify
(2x^2+(3a+4b)x+a^2+3ab+2b^2)/(x^2+(a+b-2)x-2a-2b)

Hint: it can be done Wink

Ahmed

Ahmed
NH Admin
NH Admin

Thanks for the hint Smile

(a+2(b+x))/(x-2)

I don't think there is a point in showing work for a simplifying question.

Good?

Justice

Justice
NH Member
NH Member

I not very smart. I think you maybe need to explain it to me?

10Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:16 pm

Ahmed

Ahmed
NH Admin
NH Admin

Comon man. It's annoying writing it on the computer. Ill show you tomorrow in class you noob Rolling Eyes

Could it be my turn? Very Happy

11Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:18 pm

Justice

Justice
NH Member
NH Member

ok fine but i better be right!!

12Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:19 pm

Ahmed

Ahmed
NH Admin
NH Admin

Right about what?

13Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:22 pm

Justice

Justice
NH Member
NH Member

Your solution of course. Go on with your question please....

14Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:29 pm

Ahmed

Ahmed
NH Admin
NH Admin

Of course Im right. You should have known the answer BTW. :S

Find the partial fraction decomposition of the rational function:

(2x-4)/(x(x-1)^2)

15Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:33 pm

The Banker

The Banker
NH Member
NH Member

ahmed dear, ur over confident.. Razz

16Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:35 pm

Ahmed

Ahmed
NH Admin
NH Admin

Rolling Eyes

What did I do? All I am doing is answering and asking Qs.

17Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:36 pm

The Banker

The Banker
NH Member
NH Member

+ da "i'm betta than all of u" attitude Rolling Eyes

18Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:40 pm

Ahmed

Ahmed
NH Admin
NH Admin

I have no attitude. And I never said that. I just said I know more than you.

19Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:41 pm

The Banker

The Banker
NH Member
NH Member

lolz.. big difference Rolling Eyes

kay dear.. i'll watch the ownage Razz

20Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:02 pm

Ahmed

Ahmed
NH Admin
NH Admin

Ahmed:1
Lev:1

I think Lev doesn't know this one Razz

You could always give up Lev Wink

21Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:12 pm

Justice

Justice
NH Member
NH Member

Your are kidding right?? Do you know how long this took me?!?

(-4+2 x)/((-1+x)^2 x) = q_1/(x-1)+q_2/(x-1)^2+q_3/x
2 x-4 = (x-1)^2 q_3+x (x-1) q_1+x q_2
2 x-4 = x^2 (q_1+q_3)+x (-q_1+q_2-2 q_3)+q_3
-4 = q_3
2 = -q_1+q_2-2 q_3
0 = q_1+q_3

Solve the system which took awhile:
q1=4
q2=-2
q3=-4

-4/x+4/(x-1)-2/(x-1)^2

22Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:19 pm

Ahmed

Ahmed
NH Admin
NH Admin

Very nice Lev! Good Job

Ahmed: 1
Lev: 2

Now I actually have sympathy for you not getting into AB Cal...I now know you truly are a good candidate for it...but anyways, let's continue our competition.

23Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:29 pm

Justice

Justice
NH Member
NH Member

I think it was just the stupid system that the school uses cause Daniel got in and he is in my class and has like a 85 average.

Anyways...

If the probability of an event occurring is x and the probability of it not occurring is 6x^2, what is the value of x. this is simple

24Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:34 pm

Ahmed

Ahmed
NH Admin
NH Admin

He told me he has a 90...but yeah he is a dumb***. Anyways, I do know the reason why you didn't get in...my English teacher told me. She was obviously talking for AP English, but ti seems like they did it for all. She told us that they maximized the class, but the number of applicants doubled from prior years so instead of traditionally looking at just the subject grade (math or English) they looked at your accumulative grade since freshman year. :S
===================================================================
x+6x^2=1
6x^2+x-1=0
(2x+1)(3x-1)=0
x=-1/2, 1/3
Reject -1/2

Good?

25Algebra/Trig Competition Ahmed VS Lev Empty Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:40 pm

Justice

Justice
NH Member
NH Member

It should really matter what your overall is. Math is the only subject that has something to do with Math. You cant compare oranges with apples. Plus we have about the same overall average.

yes good
Another one??

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