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#1 Re: Help Me ! » cayley table » 2006-09-04 23:37:59

Yes, multiplication.
How do you find the identity element? Under multiplication, the identity element is 1. What about here? Also how to find inverses? eg inverse of 2.

#2 Help Me ! » cayley table » 2006-09-04 12:15:47

confused94
Replies: 3

Cayley table for the binary operation multiplication Modulo 10, for the sub set of integers {2,4,6,8}...
HERE

Correct?

#3 Re: Help Me ! » confused..... » 2006-08-27 09:10:58

Now I understand. In order for the integral to remain unchanged, you must multiply the by the reciprocal 2/5 * 5/2 = 1. Therefore it is unchanged.
So if you were to multiply the numerator by 2, you would have to multiply the whole integral by 1/2.

How much is a 1/2 pound of your brain? I'd like to buy, if possible (you only use 10% after all!).

I'll have a go when I see it. smile

#4 Re: Help Me ! » confused..... » 2006-08-27 08:03:51

Another question if I may, why do you multiply the whole integral by 2/5?

#5 Re: Help Me ! » confused..... » 2006-08-27 07:46:10

You're a teacher? I should have known, there's difference between saying and teaching, it is a skill.

What I meant.. I understood du replaces 10x, since they are both equal, hence, du/√u
.....but why isn't there a dx at the end. Or alternatively, since dx = du/10x, a du/10x on the end? Ahhh...
Just realised...you did it slightly different, see: http://img242.imageshack.us/my.php?image=4atb6.png   
You'd still end up with the same answer.
Those pesky du's and dx's.....They never explain what it means, they just tell you it. lol

Kind regards smile

#6 Re: Help Me ! » confused..... » 2006-08-27 06:47:15

Thankyou, that was beautifully written. I actually learned alot from that. But what happened to the dx bit? It seemed to disappear. Shouldn't it have become 2/5 ∫ (u)^-1/2 du dx?

Sorry, confused again.

I understood your method completely though. smile

#7 Help Me ! » confused..... » 2006-08-26 23:48:16

confused94
Replies: 12

How do I integrate

(4x)
---------------
sqrt((5x^2)-1)

confused 

dunno

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