Prove that Tr(ABC)=Tr(CAB) with A,B & C square matrices...
this thread has told me that a majority of FPers on fast threads are <18 years old.
[QUOTE=sgman91;26664104]Do some multi variable integrals up in there.[/QUOTE]
Are you kidding me right now I don't know how to do multivariable.
Turns out it was a typo and it's supposed to be 2x+y so nevermind.
[img]http://upload.wikimedia.org/math/e/a/f/eafb2ac8a2afdfc37622ebf3898f7d50.png[/img] otherwise known as 1+2-3+4-5... will eventually yield 1/4. That was stated by Leonhard Euler.
You and 12 friends walk past an apple tree with 12 apples on it, Each takes one. Home many apples be left?
[QUOTE=wildferret82;26679010][img_thumb]http://upload.wikimedia.org/math/e/a/f/eafb2ac8a2afdfc37622ebf3898f7d50.png[/img_thumb] otherwise known as 1+2-3+4-5... will eventually yield 1/4. That was stated by Leonhard Euler.[/QUOTE]
Well sort of
0 Divided by 0. Problem mathfags?
[QUOTE=PEn1s lol;26680131]0 Divided by 0. Problem mathfags?[/QUOTE]
wow ur cool & edgy & original
[editline]14th December 2010[/editline]
[QUOTE=Chris220;26668581]Prove the following trigonometric identity:
(sin(Θ) - cosec(Θ))^2 = sin^2(Θ) + cot^2(Θ) - 1
In this case the '=' sign means "is equivalent to", and this is an identity, not an equation. So no switching between the two sides!
Edit:
I'll post the solution if nobody gets it[/QUOTE]
This is too easy, I don't know why I'm bothering, but:
LHS:
Expand it out:
sin^2 x - 2 + cosec^2 x
(since cosec^2 = cot^2 + 1)
Therefore it equals sin^2 + cot^2 - 1
which is RHS
Bob has 1 apple. Bob takes on a life of crime and steals 50 apples from a local vendor. He is arrested and sent to jail for the next 50 years. How many apples does Bob have now?
[sp]None. They don't let you bring food to prison.[/sp]
[QUOTE=Matthew0505;26665997]10 + 10 = 100
What's x/0?[/QUOTE]
x/0 is usually considered to be infinity when being used in an application.
[QUOTE=2INCAN;26631630](2x-3y)(3x+5y) EASY GO
im joking i couldn't give a fuck about maths on a saturday
[editline]11th December 2010[/editline]
in fact i should be getting high at my friend's right now[/QUOTE]
6x squared + xy - 15y squared...
(1-(3/x))^(5x^2)
[QUOTE=2 > 1;26682009]LHS:
Expand it out:
sin^2 x - 2 + cosec^2 x
(since cosec^2 = cot^2 + 1)
Therefore it equals sin^2 + cot^2 - 1
which is RHS[/QUOTE]
Correct. Glad to see somebody remembers A level maths.
What's sad is i know these equations that people posted, guess they're more physics related in general. Anyways
[IMG]http://upload.wikimedia.org/math/5/f/c/5fc4bf332f2e6a399c9c9db352201603.png[/IMG]
Whoever guesses it gets a free "good job" from me. And no, you can't cheat by rightclicking it :)
A super important equation:
[IMG]http://i54.tinypic.com/16gzotw.gif[/IMG]
[QUOTE=Wnd;26643796]How are we supposed to solve it?
[editline]12th December 2010[/editline]
4x4 = 4+4+4+4 :downs:[/QUOTE]
(2x-3y)(3x+5y)
=(5x^2)+10xy-6xy-(15y^2)
=(5x^2)+(15y^2)+4xy
[QUOTE=Kert97;26647150]0[/QUOTE]
The answer would actually be -50.
To start with you have -25, and you are adding an additional -25, if you added 25 instead, you would have gotten 0 and you would have been right, but since you are adding -25, it's -50 instead.
I think.
[QUOTE=Samiam22;26728995]The answer would actually be -50.
To start with you have -25, and you are adding an additional -25, if you added 25 instead, you would have gotten 0 and you would have been right, but since you are adding -25, it's -50 instead.
I think.[/QUOTE]
Please tell me you're joking. You are adding -25 to NEGATIVE 5 SQUARED, which is 25, so you get zero.
[QUOTE=GunsNRoses;26729298]Please tell me you're joking. You are adding -25 to NEGATIVE 5 SQUARED, which is 25, so you get zero.[/QUOTE]
I'll run it through google.
google says = (-(5 squared)) + (-(5 squared)) = -50
[editline]17th December 2010[/editline]
[QUOTE=GunsNRoses;26729298]Please tell me you're joking. You are adding -25 to NEGATIVE 5 SQUARED, which is 25, so you get zero.[/QUOTE]
Also, 5 squared is 25, -5 squared is -25
Note that the negative sign isn't outside the bracket in the second term being added in the original question, which is unlike what you put into google. Try this: -5^2 + (-5)^2
[QUOTE=Samiam22;26729852]Also, 5 squared is 25, -5 squared is -25[/QUOTE]
hahahahahahaha
