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There are two terms with ln(g/some random number) subtracting each other, thus cancelling out the g's to get something like ln(1/2) which is -ln2 And pls. Im sure you can get it out, giving the solutions to you will be too generous.

If it helps, did you remember to add the distance of free fall?

Draw a nice force diagram an try again (Y)

Get top 5 in all your subjects otherwise you won't get above 99 soz. Oh and english will drag you down to 90 atar if you don't get your rank up

Re: HSC 2014 4U Marathon very good (Y) Tho technically it should be Im(z) \geq 0 \quad $as the origin is still part of the locus$

Re: HSC 2014 4U Marathon This is not entirely correct. Think about domain/range restrictions!

Re: HSC 2014 4U Marathon Sketch the locus of z on an Argand Diagram of arg(z-2) + arg(z+2) = \pi

Re: HSC 2014 4U Marathon \int{\dfrac{x^2}{x^6-1} dx} \\ \\ $let$ k=x^3 \\ \\ \frac{dk}{dx}=3x^2 \\ \\ \frac{dk}{3} = x^3 dx \\ \\ = \frac{1}{3}\int{\dfrac{dk}{k^2-1}} \\ \\ = \frac{1}{3}\int{\dfrac{dk}{(k-1)(k+1)}} \\ \\ = \frac{1}{3}\int[{\frac{1}{2(k-1)}-\frac{1}{2(k+1)}]dk} \\ \\ =...

Re: HSC 2014 4U Marathon i) 50!/48!2! = 1225 ii) 47C2/1225 = 1081/1225