Amaths / Pure Chemistry
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Amaths
How do I Integrate X^-1?
Chemistry
Why is mercury's melting/boiling point different from other metals?
Maybe i'm not trying hard enough, but cant seems to find the answers in google. -
Pertaining to your A maths qn, please do note that when differentiating ln x, you will get x ^-1.Originally posted by 77th Cloud:Amaths
How do I Integrate X^-1?
Chemistry
Why is mercury's melting/boiling point different from other metals?
Maybe i'm not trying hard enough, but cant seems to find the answers in google.
Since integration is a reverse process of differentiation, therefore, integrate x^-1 and you will get ln x + c which c is a constant. -
Mercury's bonds = stronger than the other metals? That's why need more heat to break the bonds and more heat to form bonds?
I think so
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for your chem qn, u can try out this link
http://www.madsci.org/posts/archives/may97/862179191.Ch.r.html -
Runawaylove, Metals have high boiling/melting point except for Group I and II metals, AND mercury, thus it wouldn't be higher. And, why are the bonds weaker, in that case?
Amaths question: BUT, if i do the normal way, [x^0]/0, isn't that not defined? -
The atomic orbital is not the in syllabus of O level Pure Chemistry.
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x ^-1
= ln x ? -
Yeah, It's not in the syllabus. My teacher told me to 'find it out myself' if i wanna know, and well, I wanna know =.=
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Nope. It is like a formula that you have to memorise. If u wanna know more like how cum differentiate ln x will become x^-1, you will have to use differentiation using first principle which is longer.Originally posted by 77th Cloud:Runawaylove, Metals have high boiling/melting point except for Group I and II metals, AND mercury, thus it wouldn't be higher. And, why are the bonds weaker, in that case?
Amaths question: BUT, if i do the normal way, [x^0]/0, isn't that not defined? -
not only is it longer, it is not within O level syllabus. But to use it, you must really understand what exactly is differentiation. O levels only teaches you how to use it, but not exactly why it is used like that...Originally posted by tanjun:Nope. It is like a formula that you have to memorise. If u wanna know more like how cum differentiate ln x will become x^-1, you will have to use differentiation using first principle which is longer. -
It is commendable that you have a "want to know more" attitude. Keep up with the good work.Originally posted by 77th Cloud:Yeah, It's not in the syllabus. My teacher told me to 'find it out myself' if i wanna know, and well, I wanna know =.= -
You can't do the normal way. Mathematicians found that they could not integrate 1/x so...Originally posted by 77th Cloud:Runawaylove, Metals have high boiling/melting point except for Group I and II metals, AND mercury, thus it wouldn't be higher. And, why are the bonds weaker, in that case?
Amaths question: BUT, if i do the normal way, [x^0]/0, isn't that not defined?
http://en.wikipedia.org/wiki/E_%28mathematical_constant%29#e_in_calculus -
Thanks for the info. I have learnt a new thing too.
