Recent content by aerowhale

qwerty

Camp 14 - Total Control Zone It's on iview currently

Re: HSC 2013 2U Marathon \log(1+x^2) + 1 = \log(4+x^2)\\ \log(1+x^2) + \log(e) = \log(4+x^2)\\ \log((1+x^2)e) = \log(4+x^2)\\ (1+x^2)e = 4+x^2\\ e + ex^2 = 4+x^2\\ ex^2-x^2 = 4-e\\ (e-1)x^2 = 4-e\\ x^2 = \frac{4-e}{e-1}\\ x = \pm \sqrt{\frac{4-e}{e-1}}

Re: HSC 2013 2U Marathon \frac{\mathrm{d} }{\mathrm{d} x}\left ( \ln \left ( \sec x + \tan x \right ) \right )\\ =\frac{\sec x \tan x + \sec^{2} x}{\sec x + \tan x}\\ \\ =\sec x \times \frac{\sec x + \tan x}{\sec x + \tan x}\\ \\ =\sec x\\ \\ \\ \int_{0}^{\frac{\pi}{4}}\sec...

Re: HSC 2013 2U Marathon $Consider a triangle with 2 sides each having a distance of $ r $ and an included angle of $ \theta\\ $Its area is $ \frac{1}{2} r^{2} \sin \theta\\ $In a regular n-sided polygon as given in the question, there are $ n $ such triangles, each with a central...

New Senior Mathematics (Fitzpatrick) is also pretty good. My school issues out copies of both Fitzpatrick and Cambridge.

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