Stefano
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'If you are hurt, run to teh L'Hospital'jake2.0 said:what is his rule?
'If you are hurt, run to teh L'Hospital'jake2.0 said:what is his rule?
I skip meals to study maths that's outside of the syllabus.antwan2bu said:err ok.
how do you people know all this out side of the sylabus theorems? do u get taught them at school?
Thats one of the many forms the rule takesStefano said:SOMEONE HAD TO SAY IT!! lol..
<b>L'Hospital's rule:</b>
If f(x) and g(x) approach 0 as x approaches a, and f '(x) / g'(x) approaches L as x approaches a, then the ratio f(x) / g(x) approaches L as well.
~ ReNcH ~ said:With Q1(e) of the SBHS paper, even though it says "evaluate", are you justified in sketching 2-|x| and finding the sum of the areas between the curve and the x-axis between -3 and 3? In general, I'm just wondering whether you're allowed to use any available method to answer a question or whether "evaluate" implies an alegbraic method must be used.
noah said:you have to be careful though because the areas under the x axis are negative.
if you just add the areas you'll get 5 instead of 3
For that question, I said ln(cotx) = ln(1/tanx) = ln1 - ln(tanx). You transfer the ln(tanx) to the LHS, you get 2|ln(tanx)dx = |0dx --> |ln(tanx) = 0. Is 0 the right answer?KFunk said:ln[tan(π/2 -x)] = ln(cotx)
as x--> π/2 , cotx ---> 0 ∴ ln[tan(π/2 -x)] ---> -∞
I think you need to use the integral properties for this one because the question hinges around the symmetry (I think) the graphs have around x=π/4. You can't really say "ln[tan(π/2 -x)] = 0 hence ∫ ln(tanx) dx = 0" if you know what I mean.
Yep. I just took any area below the x-axis as being "negative".noah said:you have to be careful though because the areas under the x axis are negative.
if you just add the areas you'll get 5 instead of 3
Yup, that's pretty much how I solved it except I made ln(1/tanx) = -ln(tanx) (leading to the same conclusion). I had a look at the graph in graphmatica and zero would look to be the rigth answer.~ ReNcH ~ said:For that question, I said ln(cotx) = ln(1/tanx) = ln1 - ln(tanx). You transfer the ln(tanx) to the LHS, you get 2|ln(tanx)dx = |0dx --> |ln(tanx) = 0. Is 0 the right answer?
I hate nit-picking and I'm no mathematician...far from it in fact , but I'm quite sure it's L'Hopital's rule (no "s"). The last thing you'd want is to use a rule outside of the syllabus and spell it wrong esp. if someone like Pender or Arnold were marking itStefano said:SOMEONE HAD TO SAY IT!! lol..
<b>L'Hospital's rule:</b>
If f(x) and g(x) approach 0 as x approaches a, and f '(x) / g'(x) approaches L as x approaches a, then the ratio f(x) / g(x) approaches L as well.
Or Hespe or Choy.~ ReNcH ~ said:I hate nit-picking and I'm no mathematician...far from it in fact , but I'm quite sure it's L'Hopital's rule (no "s"). The last thing you'd want is to use a rule outside of the syllabus and spell it wrong esp. if someone like Pender or Arnold were marking it
... just when i start to think i might actually do well in the hsc, you people punk me out by talkin about things ive never even heard of...sikeveo said:Or Hespe or Choy.
Actually, "L'Hospital" is the correct English translation of his name. In French, it is: "L'Hôpital".~ ReNcH ~ said:I hate nit-picking and I'm no mathematician...far from it in fact , but I'm quite sure it's L'Hopital's rule (no "s"). The last thing you'd want is to use a rule outside of the syllabus and spell it wrong esp. if someone like Pender or Arnold were marking it
Oh ic...I stand corrected. Thanks Slide RuleSlide Rule said:Actually, "L'Hospital" is the correct English translation of his name. In French, it is: "L'Hôpital".
That is to say: "L'Hopital" is the incorrect way to spell his name.