-
Looking for HSC notes and resources? Check out our Notes & Resources page
Luukas.2's latest activity
-
LLuukas.2 replied to the thread 4u integration.They were standard integrals on the old syllabus, but that's going back a way - see page 16 of the 2001 paper accessible from...
-
LLuukas.2 replied to the thread ionisation energies q.Since element B has the highest first IE amongst the four consecutive elements, it must be a noble gas. Thus: element A is a halogen...
-
LLuukas.2 replied to the thread How would you solve double inequalities like this.You can also find the boundary values by solving \begin{align*} |3x - 2| &= |x + 4| \\ \\ \textbf{Case 1:} \qquad 3x - 2 = x + 4 \qquad...
-
LLuukas.2 replied to the thread Rate of Change Question.Define a height axis, y, along the central axis of the cylinder, taking y = 0 at the top and placing the light source at y = h above the...
-
LLuukas.2 replied to the thread Anyone know ow to do this 4u proofs question?.Right-angle triangle trigonometry should allow you to show that \text{LHS} = \sin{\frac{\theta}{2}} + \frac{1}{2}\cos{\frac{\theta}{2}}...
-
LLuukas.2 replied to the thread what is the source of this 4u math paper.The cover is a modified version of that used by the Independent Schools papers, as is the table on page 2 for MCQ papers... but it's not...
-
LLuukas.2 replied to the thread Writing vs Typing notes.Some excellent points. From a cognition perspective, there is a significant difference depending on how you are with writing on a...
-
LLuukas.2 replied to the thread Integration.The problem can be approached as an area between two curves, just relative to the y-axis. The curves that bound the region are x=e^{2 -...
-
LLuukas.2 replied to the thread proving integration of 1/x^2+1 using cmplx nbumbers?.\text{Since} \qquad \tan^{-1}{x} + \tan^{-1}{\left(\frac{1}{x}\right)} = \frac{\pi}{2} \qquad \text{for all $x > 0$} \text{And} \qquad...
-
LLuukas.2 replied to the thread Integration.Since the area is symmetric about the x-axis, its area can be found by doubling the integral of the function above the x-axis...
-
LLuukas.2 replied to the thread is the answer wrong.Definitely positively certainly B and not D.
-
LLuukas.2 replied to the thread inverse trig becos my head hurts.Question 1: \text{$y = \sin^{-1}{x}$ takes ratios between $-1 \le x \le 1$ and outputs angles between $-\frac{\pi}{2} \le y \le...
-
LLuukas.2 replied to the thread perms and combs question.Sure... \begin{align*} \text{Going from Line 1:} \qquad \frac{n!\left[4!(n - 5)(n - 4) - 6!\right]}{(n -4)!6!4!} &= 0 \\ \text{to Line...
-
LLuukas.2 replied to the thread perms and combs question.Your algebra is correct, you got to \begin{align*} \frac{n!\left[4!(n - 5)(n - 4) - 6!\right]}{(n -4)!6!4!} &= 0 \\ 4!(n - 5)(n - 4) -...