| Algebra/Trig Competition Ahmed VS Lev | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 6:50 pm | |
| I will give you the honor of starting =] | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 6:55 pm | |
| Okey Dokes Young one ================================ Let's start out easy: Rewrite the expression as an algebraic expression in x: cos(sin^-1 (x) + cos^-1 (x)) | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 7:01 pm | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 7:02 pm | |
| Show your work man. | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 7:39 pm | |
| 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 | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 7:46 pm | |
| Ok Im waiting and it seems you got it. Very good.
Ahmed: 0 Lev: 1
Your turn. | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 7:57 pm | |
| 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 | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:06 pm | |
| Thanks for the hint (a+2(b+x))/(x-2) I don't think there is a point in showing work for a simplifying question. Good? | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:13 pm | |
| I not very smart. I think you maybe need to explain it to me? | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:16 pm | |
| Comon man. It's annoying writing it on the computer. Ill show you tomorrow in class you noob Could it be my turn? | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:18 pm | |
| ok fine but i better be right!! | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:19 pm | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:22 pm | |
| Your solution of course. Go on with your question please.... | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:29 pm | |
| Of course Im right. You should have known the answer BTW. Find the partial fraction decomposition of the rational function: (2x-4)/(x(x-1)^2) | |
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The Banker NH Member
Number of posts : 15240 Username Change Points : 8501 Reputation : 24 Registration date : 2009-10-27 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:33 pm | |
| ahmed dear, ur over confident.. | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:35 pm | |
| What did I do? All I am doing is answering and asking Qs. | |
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The Banker NH Member
Number of posts : 15240 Username Change Points : 8501 Reputation : 24 Registration date : 2009-10-27 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:36 pm | |
| + da "i'm betta than all of u" attitude | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:40 pm | |
| I have no attitude. And I never said that. I just said I know more than you. | |
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The Banker NH Member
Number of posts : 15240 Username Change Points : 8501 Reputation : 24 Registration date : 2009-10-27 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 8:41 pm | |
| lolz.. big difference kay dear.. i'll watch the ownage | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:02 pm | |
| Ahmed:1 Lev:1 I think Lev doesn't know this one You could always give up Lev | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:12 pm | |
| 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 | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:19 pm | |
| 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. | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:29 pm | |
| 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 | |
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Ahmed NH Admin
Number of posts : 51452 Username Change Points : 61089 Reputation : 147 Registration date : 2007-10-14 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:34 pm | |
| 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. =================================================================== x+6x^2=1 6x^2+x-1=0 (2x+1)(3x-1)=0 x=-1/2, 1/3 Reject -1/2 Good? | |
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Justice NH Member
Number of posts : 741 Username Change Points : 6401 Reputation : 5 Registration date : 2010-04-29 Mood : Country :
| Subject: Re: Algebra/Trig Competition Ahmed VS Lev Thu May 13, 2010 9:40 pm | |
| 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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| Subject: Re: Algebra/Trig Competition Ahmed VS Lev | |
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| Algebra/Trig Competition Ahmed VS Lev | |
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