gene

Oh... it sounds like a great answer. Thanks.

I can only simplify it to [e^(ln3)+3]/e^(0.5ln3)

 

I guess you have to find out what ln3 is and 1/2ln3.

 

Edit: oh nvm 4/e^(0.5ln3) since e^ln3 is 3.

 

e^0.5ln3+3(e^-0.5ln3)=[e^ln3/e^(0.5ln3)]+[e^0/e^(0.5ln3)]=[3/e^(0.5ln3)]+[1/e^(0.5ln3)]=4/e^(0.5ln3)

 

substitute e^0.5ln3 for e^(ln3-0.5ln3)=e^ln3/e^0.5ln3 and e^-0.5ln3=e^(0-0.5ln3)=e^0/e^0.5ln3

Apparently, the answer is suppose to prove that it gets to 2 square root 3.

But i don't see how i can get such a perfect answer without trying to evaluate 2 square root 3.

Pigeon Hole Theory. Is it still relevant? How can we apply it to our daily lives and mathematics? What exactly is it about? Is it applicable only for numbers?

blood hound. That's was a brilliant. cool.

Nash equilibrium?

inverse functions reflect in the y=x .

No graph was given.

Might there be some tissue rejection? And the immune system would probably destroy it.

No' date=' the inverse function is not 1/f.

 

If f is its own inverse (NOT RECIPROCAL) and you know the graph of f inverse is the graph of f reflected in the line y=x, then surely you can see that the graph of f must be unchanged afer reflection in that line.[/quote']

 

I'm not really sure of f inverse means 1/f. I don't really get you. Because apparently, the graph is not reflected that all.

 

Try this eqn.

 

y= (3x+11)/(x-3) , x is not 3.

 

if you find its inverse. You would get the exact same eqn.

Ya. I'm gene. Hmm... is there by any chance that i know you? because i got a PM from you, for a wrong belated birthday blessing. ha ha...

IN singapore we call it the O levels. Well, it is basically the same as GCSE. The full name is GCSE O Levels. So, Ed, what subjects are you taking? 16 this year i guess?

rock. i sort of get the gist of it. but is if i were to apply your method to this eqn.

y=e^(0.5ln3) + 3e^(-0.5ln3)

would it work?

So if i were to test saliva for proteins. Would i get a positive biuret test?

you get an extra boost by being closer to the equater. basicaly, you have more centrifugal force, because you are going faster than say at the north pole.

Oh. that's is so cool. So, has such talks about space launches started between countries? It would be so cool to have rockets launched in Singapore !

sorry, i kinda confused. Told who to pay for what?

Which contains protein whereby a biuret test will show a positive result?

I know saliva contain enzymes. Enzymes are protein in nature but aren't there in minute quantities to be accounted for?

Isn't urea made from protein?

Ok. here's an additional sub-on question.

what is e^ln3 ?

Thanks anyway. That qn came out for my exams.

Yup. the question appears so.

Because, in its domain (strictly positive Reals) it is continuous, and hence Riemann integrable.

i understand the domain being continous but i'm no sure with "Riemann integrable".

the original equation is y=f(x)

but the inverse, which is supposedly suppose to reflect in the y=x line, happens to be y=f(x)

it is f^(-1) (x)

Why can we integrate ln?

Ok. Let's say that there is a given function y=f(x)

And if your inverse of f(x) is exactly the same as f(x). What can you say about the symmetry of the graph of f(x)?

Anyone taking O levels this year?

Well, you are almost on the equator, so perhaps you can work on persuading Lee Hsien Loong to make Singapore the site of the first sky hook. They are the best chance we have of making space travel affordable.[img']http://www.scienceforums.net/forums/images/icons/icon7.gif[/img]

ha ha...

But how does being near to the equator helpful in space travelling? I thought is doesn't matter where the launch is?

Ben Bova is writing some of the most scientifically illiterate and illinformed fiction ever. In addition his prose is dull, clumsy, and repetitive. I have never been interested in what happens to any of his characters (caricatures), and his plot, narrative fails to grip the attention. In short, he is crap.

Well, his books are fantasy. Yet, i feel something for it even though the plot can be quite predictable at times. Reading it makes me wanna go space travelling tough.