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I changed the question around a little $Belonging does not exist in reality, it is a societal construct which has been created by the elite to brainwash the student masses to prevent a student revolution against the tyranny of English$ $Prove the absolute truth of this statement with respect...

$Belonging does not exist in reality, it is a societal construct which has been created by the elite to brainwash the student masses to prevent a student revolution against the tyranny of English$ $Discuss this statement with respect to your prescribed text and at least 1 related text of...

Yea I'm aiming for around the 1100-1150 mark, I'm not a very fast writer though so that might change

wtf

Alright thanks (would rep but I need to spread)

In my story my characters are travelers in the medieval ages, and I want to refer to the places they are going to as they were called back at the time, in order to clarify where these places are can I put a footnote at the bottom saying where the place is in a modern day context? i.e. The...

Re: HSC 2013 4U Marathon True (provided you can prove the product is not periodic) I didn't think about convergence anyway haha

Re: HSC 2013 4U Marathon $Evaluate (which you may assume converges)$ \lim_{n \to \infty} \left(\prod_{k=1}^n \left(1+ \frac{k}{n} \right) \right)^{1/n} (can definitely be done within syllabus)

Re: MX2 Integration Marathon \int \frac{\sin^2 x}{\cos^2 x + \cot^2 x} \ dx

Re: HSC 2013 4U Marathon Wait yea nevermind my method was a little different to yours, it involved a proof by contradiction (kinda). Well done --- $A function is defined for$ \ \ x,y > 0 \ \ $such that$ f(xy) = f(x) + f(y) $If$ \ \ f'(1) = 3 \ \ $find$ \ \ f(x)

Re: HSC 2013 4U Marathon That is the sketch of the proof, but can you explain why we get the conclusion from (1) (2) and (3)?

Re: HSC 2013 4U Marathon Here is a good one: $Let$ \ \ p(x) \ \ $be an even degree polynomial with a positive leading co-efficient such that$ p(x) - p''(x) \geq 0 \ \ \ \ $for all real values of$ \ \ x $Prove that$ \ \ p(x) \geq 0

Have you tried actually thinking about this problem?

The 'harder' method comes mostly from intuition, I wanted to manipulate the expression in a way that I can factorize something out, and I noticed that the 2 can be split up. Don't worry about that method though, the x=-1 substitution one is much more direct

x^3+x+2 = (x^3+1) + (x+1) = (x+1)(x^2-x+1) + (x+1) I'll let you do the rest ---- Alternatively, the easier method: We do the 'sub in values', method, where you sub in values that are factors of 2, so sub in, x=-1, x=1, x=2, x=-2, see which one gives a solution. We find that x=-1 is...

Dat thread derail

=(

Please tell me youre joking

Can you tell me how you would continue from: \int_{1/2}^{2} \frac{\tan^{-1}x}{x} ? Because I don't think that is possible with elementary functions

The only thing similar between all irrationality proofs ive seen for e and pi is let it equal p/q, everything else is completely different