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I am trying to be patient Then you are forwarding an argument based on contradiction for the non-existence of God based on the evil in the world contradicting the 'Goodness' of God in scripture. Firstly, - On what basis do you have to say that what God commanded and allowed is evil? If...

I really just don't understand why atheists are so reluctant to engage in anything You make the claim that God is evil for allowing evil acts I say that God may have morally sufficient reasons to allow evil Now you must prove that my assertion is impossible, since it is perfectly conceivable...

Its not really an argument but I was trying to give you the benefit of the doubt and actually say what you are meaning to say Sounds like something Hitchens would say Its called giving out bait and you took it No, Christians have answered this for a very long time, the "problem" of...

1. That is not an argument 2. Most of the points you list are entirely irrelevant to whether God exists or not 3. You ignore the plentiful amount of arguments that I have given earlier Christopher Hitchens might of been a great rhetorician and preacher for the atheist religion, but when you...

Re: HSC 2014 4U Marathon - Advanced Level The problem comes with the k in the numerator Can you post your solution?

Re: HSC 2014 4U Marathon - Advanced Level A little easy \\ $Solve for$ \ a \ \ \lim_{x \to \infty} \left(\frac{x+a}{x-a} \right)^x = e

Re: HSC 2014 4U Marathon I got glittergal96's answer Originally when I posted this question I simply had a glance and thought it was simple common sense, but the problem is more complex than that and probably should of been in the advanced thread What I do is fix one point (symmetry), then I...

Re: HSC 2014 4U Marathon - Advanced Level I do not think you would lose any marks I would ask Carrotsticks for confirmation though

Re: HSC 2014 4U Marathon Is there an issue with the wording of this question? I don't think it is too hard for this marathon no?

Re: HSC 2014 4U Marathon - Advanced Level I think what TL1998 was going for is that if you knew only what the 4U course would teach you, how would you do it. Cauchy Schwarz although can be proven with 4U methods is not taught nor is it an inequality that is entirely obvious

Re: HSC 2014 4U Marathon - Advanced Level Here is my method which is more 4U level: \\ \frac{a^2}{a+b} + \frac{b^2}{b+c} + \frac{c^2}{c+d} + \frac{d^2}{d+a} \\ \\ = \frac{a(a+b-b)}{a+b} + \frac{b(b+c-c)}{b+c} + \frac{c(c+d-d)}{c+d} + \frac{d(d+a-a)}{d+a}\\ \\ = (a+b+c+d) - \frac{ab}{a+b} -...

Re: HSC 2013 3U Marathon Thread \\ $i) Show that$ \ (1+x) + x(1+x) + x(1+x)^2 + \dots + x(1+x)^{n-1} = (1+x)^n \\ $ii) Hence show that$ \ \sum_{k=m-1}^{n-1} \binom{k}{m-1} = \binom{n}{m} \ \ $for some$ \ 1 \leq m \leq n

Re: HSC 2014 4U Marathon \\ $Three points, A, B and C are randomly chosen on a circle, find the probability that the lengths of AB, BC and AC are all less than the radius of the circle.$

Re: MX2 Integration Marathon \\ \int_0^{\frac{\pi}{4}} \frac{\sec x}{\sqrt{\sec x - \tan x}} \ dx

Re: HSC 2014 4U Marathon - Advanced Level \\ $If$ \ a+b+c+d = 1 \\ \\ $Prove$ \ \ \frac{a^2}{a+b} + \frac{b^2}{b+c} + \frac{c^2}{c+d} + \frac{d^2}{d+a} \geq \frac{1}{2}

"Suspected" "Alleged" This seems to be a common theme with these arrests, as has been with everyone who is "caught" by invading surveillance. One day you say something critical about the government, next day FBI comes to your door, tells you you've been arrested for suspected terrorism, and...

Do you know how many people have been charged with conspiracy for terrorist activity, without trial and hearing in the USA? Look up the PATRIOT act, and look up the Australian ASIO laws (kind of an equivalent) How can you guarantee that the government, and security agencies, which since...

Yes the government will never use our information for covert operation and blackmail because we live in a democracy and we elect our leaders and they are just like us and would never do something so sinister!

Re: HSC 2014 4U Marathon - Advanced Level A little hard for the lower level marathon but a little easier for this level: \\ 0 < u < 1 \\ $Let$ \ u_{n+1} = \frac{1}{u_n} + u \ $where$ \ u_1 = 1 + u \\ \\ $Show that$ \ u_n > 1 \ $for all integral$ \ n \geq 1

Re: HSC 2014 4U Marathon \\ $Let$ \ x,y \ $be positive reals so that$ \ (1+x)(1+y) = 2 \ $show that$ \ xy + \frac{1}{xy} \geq 6