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Definitely 3U if one of your career choices is software engineering. (You could also drop 3U anyway in case it doesn't work out)

What is your specific question? If it's to find the range and domain, then domain is already given. $\noindent The range for the first one is $[-4,\infty)$ or $y\geq 4$. Note that $x^2 > 0$.$ $\noindent The range for the second one is $(1,-\infty)$. This is because if $x<0$ then this...

$\noindent You will have to make use of the $\tan (\cdot)$ expansion. \\ $\tan (x+y) = \frac{\tan x + \tan y}{1 - \tan x \tan y} $\\ Multiplying the numerator and denominator by $\cos x \cos y$, the fraction simplifies to \\ $\frac{\tan x + \tan y}{1 - \tan x \tan y} = \frac{\sin x \cos y + \sin...

It's highly recommended to draw a diagram when using integration to find an area (and if it's given, try drawing it yourself as an exercise (unless you're time constricted)!). $\noindent Notice that for a defined inverse function $f^-1$ of $f$, the domain and ranges are swapped around. So the...

You can work it out for yourself in the future. $\noindent $2\sqrt{x+4} \geq 0 \implies 2\sqrt{x+4} - 5 \geq -5$ so $y \geq -5$.$

$\noindent $2 \sin 3 \theta = -1 \implies \sin 3 \theta = \frac{-1}{2}$ $ $\noindent Note that the sine trigonometric function is periodic, so the solution to $\sin x = \frac{1}{2}$ is \\ $x = -30^{\circ} + k 2 \pi$ or $x = 180^{\circ} - (-30 ^{\circ}) + k 2 \pi = 210^{\circ} + k 2 \pi$ for...

It all really depends on how high your friend is aiming for. I think coming 3rd/4th/5th should be fine in a rank-190ish school to not get affected by a cohort (obviously being 1st would mean you won't get affected at all) (and depends on the relative difficulty of your school exams with the HSC...

Re: Discrete Maths Sem 2 2016 Since 3q^2 is even, then 3q^2 = 2K for some integer K. then K = (3q^2)/2 but K is an integer, then 2 must divide q^2 (since 2 doesn't divide 3), so q^2 is even.

Re: Discrete Maths Sem 2 2016 $\noindent Because it means there's no possible $(p,q)$ combination (for $p,q$ being positive integers) such that it satisfies $11^q = 2^p 3^p$ which $\textit{contradicts}$ our original claim that there exists a $p,q$ such that $\log _{6}11 = \frac{p}{q}$.$

Re: maths questions help $\noindent a. If $x$ is the side-length of the square, then the square has perimeter $P_S = 4x.$Then the remaining length for the wire used for the rectangle is $12 - 4x$. Let $a,2a$ be the dimensions of the rectangle, so the perimeter of the rectangle $P_R = 6a$...

Re: HSC 2017 MX2 Marathon $\noindent A pack of sweets contains 25 sweets, a combination of mini-cupcakes and mini-macarons. If there are 18 varieties of mini-cupcakes, and 10 varieties of mini-macarons, how many ways can you fill a pack? (The order does not matter, just how many of each sweet...

The general method for this is For a linear mapping T: V -> W with basis B = {v1,v2,v3,...,vn} for the domain and C = {u1,u2,u3,...,un} for the codomain then the matrix of T is A = [a1 a2 a3 ... an] (where ak is the k'th column vector of the matrix A) and ak = [T(vk)]_C (the coordinate vector of...

It's usually like that for fast-food restaurants since there's some stigma in putting males in the front. You could ask to be placed at the front though, (and it wouldn't be a hassle because really, having males wouldn't be much difference in the eyes of the manager) Unsure about the difference...

Re: UNSW chit chat thread 2016 Which section in the 15marks did you find the hardest?

Re: UNSW chit chat thread 2016 Snakes are elongated, legless, carnivorous reptiles of the suborder Serpentes[2] that can be distinguished from legless lizards by their lack of eyelids and external ears. Like all squamates, snakes are ectothermic, amniote vertebrates covered in overlapping...

Re: UNSW chit chat thread 2016 Did you guess a lot? I found myself guessing a couple in the multiple choice haha I don't think i did too well in the exam

Unlikely, as a lot of retailers have finished hiring for their Christmas period + the unavailability starting from 22nd Dec and your age will further reduce the chances (age being a bigger factor for the fast-food retailers). However, it's still worth a shot to apply to places like JB-Hifi or...

I believe we multiply by the absolute value of the Jacobian in a change of variable substitution. Btw, when did we learn this change of variable substitition in 1251? Didn't see any questions on it.

We both have to admit it, especially when the class tutors at UNSW add to the confusion.

First year math in my opinion has been okay so far. It does help to understand concepts by asking people in higher years or people with more knowledge (crediting this to InteGrand), but I don't think a tutor is quite necessary (especially if you already have a strong foundation in previous...