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Well, it was intuitive I guess. When you have 2 numbers less than one, then the multiplication of the two numbers must also be less than one. I was also trying to link the quadratic in terms of tan into some form of inequality.

Lets assume that there is a point satisfying θ(1) < pi/4, θ(2) < pi/4. Therefore tan[θ(1)] < 1, tan[θ(2)] < 1. Therefore tanθ(1)tanθ(2) < 1 (i.e. product of roots < 1). Hence, (x^2+4hy)/(x^2) < 1 -> x^2+4hy < x^2 (x^2 > 0) -> 4hy < 0 -> y < 0. Contradiction!

fuar u gun

Bear in mind, any autonomous increase in the components of AD will lead to economic growth. But if a corresponding increase in AD is not satisfied by AS, then this is what creates demand-pull inflation. Sustainable economic growth will reduce inflation in the long term. In most cases economic...

Re: MX2 Integration Marathon Nice question!

Re: HSC 2014 4U Marathon Volumes Question ->

basically anything by dvbbs gets you rowdy :D

as for house, this one is my personal favs

kind of old, but still one of my favs

more into the euphoric type of hardstyle

Re: MX2 Integration Marathon , alternatively for (b) use polynomial division since deg(numerator)>deg(denominator)

Re: MX2 Integration Marathon Auxillary angle method

Re: MX2 Integration Marathon Alternatively: changing it into cosine would make the integration less tedious and error free

Re: MX2 Integration Marathon Oh wow, condenses a 10 marker question into 1 question, typical Sy...

Re: MX2 Integration Marathon Man that is one good question :D

Re: MX2 Integration Marathon I don't think that is the answer, because you are essentially minusing the negative region from the positive region when integrating e^-xsin(x)

Definitely integration because it stimulates creativity; always trying to look for another easier or alternative way :p, but I love conics too cause of I loved parametrics in 3u

Re: HSC 2014 4U Marathon Find the volume of the region bounded by the curve y=sin(x) between x=0 and x=pi rotated about the line y=-x. If anyone else has any good oblique rotation questions, please share! It's in my upcoming assessment task even though its not in the syllabus and there isn't...

Re: HSC 2014 4U Marathon Can you provide us with a diagram, because I can't translate your instructions into one lol (idk if we have different interpretations of the way a house looks like) :p

Re: MX2 Integration Marathon Woops typo, was meant to be arctan(sqrt(2)tan(x)) instead of arctan(1+sqrt(2)tan(x)), typed it on the bus this morning