bleakarcher
Active Member
- Joined
- Jul 8, 2011
- Messages
- 1,509
- Gender
- Male
- HSC
- 2013
Re: 2012 HSC MX2 Marathon
true.
true.
It can be made pretty fast...observe that arctan is an increasing function of the positive reals and that with equality attained at x=2.It's good to see new methods pop up. I never thought of this. Nice work!
However, It is a wee bit slow. Another problem I can see coming is that you will need to actually show that it is in fact max/min, which can get quite tedious.
If it's only a 1 mark question, then a solution by simple inspection will suffice (seanieg89's way).Thanks guys. The way I did it was Carrotsticks way but I don't get how that can only be a one mark question...
i am going to rep you for this very intuitive method(me thinks). avoids allot of the tedious trigonometry i usually use for these types of questions.The method I'm using below can be handy sometimes, because it gives me max AND min argument immediately. Of course there are other ways, but it's really just preference.:
EDIT:
How did you use calculus for this problem?
By differentiation.
ok I'll stop lol – until tomorrowRolpsy, you are really tempting me to not sleep and do questions. (I'll miss Scischool tomorrow. )
Interesting question.ok I'll stop lol – until tomorrow
cool (although you should probably include limit swap step: )Interesting question.
The question is actually invalid because it does not take into account the fact that there is an error term.
Yeah I did on paper, but didn't want to write more then was absolutely necessary with latexcool (although you should probably include limit swap step: )
Error term?The question is actually invalid because it does not take into account the fact that there is an error term.