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  1. 5

    Who wants to be a teacher because of a scholarship and a high ATAR requirement (Over 80)?

    "It's a massive waste of valuable smart ppl for them to do dropkick jobs like teacher." Okay, if your statement is true then why is it that a student who did Extension II English, Extension I Maths, Agricultural studies, modern history, Drama, and Ancient history in Year 12 and went to NSW's top...
  2. 5

    Who wants to be a teacher because of a scholarship and a high ATAR requirement (Over 80)?

    Who sent you here? I find your statement very disappointing. If that is what you think then you really need to find something else to do with your life. “Not even a hard job,” I think you have been a student for way too long. Trust me what you see in the classroom is around 20% of what you...
  3. 5

    Area using integration Question Help.

    Question 17 Pretty straightforward Ask yourself, what does the function f\left(x\right)=x^{3} look like? Once you have that find the zeros in f\left(x\right). Once that is solved step 2 Find x=0 for f\left(x\right) by subbing x=0 into f\left(x\right) as g\left(x\right) is an upward facing...
  4. 5

    recursive integration

    Let's do this properly. I_{n}=\int_{0}^{1}\frac{x^{2}}{\left(1+x^{2}\right)^{n}}dx=\int_{0}^{1}x^{2}\left(1+x^{2}\right)^{-n}dx After a painstaking battle, I have found that this question can easily get overcomplicated by the student. The first step integrate x^{2} By doing so we will have...
  5. 5

    Who wants to be a teacher because of a scholarship and a high ATAR requirement (Over 80)?

    High achievers to get up to $12k a year to become teachers under Labor https://www.smh.com.au/politics/federal/high-achievers-to-get-up-to-12k-a-year-to-become-teachers-under-labor-20220508-p5ajj8.html All the students/Student teachers/ teachers or anyone concerned share your thoughts? I am...
  6. 5

    Do we do this by parts?

    \frac{2x\sin^{2}x}{\left(1-\sin^{2}x\right)^{2}} Good ideas however you still have to do IBP as there are two variables.
  7. 5

    Why is the flame test used for cations and not anions

    The idea of the flame test is that by putting the flame near the cation you will be able to see different colours of flame such as green for copper and then another colour for different metals. Plus, anions are typically gases so therefore, a flame test will not reveal anything as they are...
  8. 5

    A few complex number qs

    Part b well we need to know this fact \omega\bar{\omega}=|\omega|^{2}=1 and \omega+\bar{\omega}=2Re\left(\omega\right) and \omega-\bar{\omega}=2Im\left(\omega\right) Once this is known our next step is pretty straightforward...
  9. 5

    Is it too late to turn it around?

    The most Kenobi thing that I have heard from an aspiring Chemistry/Biology teacher.
  10. 5

    A few complex number qs

    De Moivre's Theorem that is what is happening squaring the angle doubles the angle of rotation and so on.
  11. 5

    A few complex number qs

    For d when you have \arg\left(z^{2}\right) this implies that you need to double the argument to obtain the arg of z so in turn \arg\left(z^{2}\right)=2\arg\left(z\right)=\frac{2\pi}{3}. Thus, \arg\left(z\right)=\frac{\pi}{3}
  12. 5

    Should BYO laptops be allowed at school?

    From what I see here @vishnay and all former/current high school students I believe that laptops should be allowed in school because teachers especially tech-savvy types will encourage students to use Geogebra/Desmos/Wolfram Alpha because these things are very helpful in showing graphs...
  13. 5

    can some1 quick recap me on how to do such qs

    I am talking about something like this. For example, \sin^{-1}2. I guarantee you that complex analysis will have to be used.
  14. 5

    can some1 quick recap me on how to do such qs

    Considering this is a range question we need to focus on the domain between [-1, 1] because otherwise, we will have complex numbers for both which will require complex analysis which is way too out of your reach. Here, for \sin^{-1}x, \cos^{-1}x at x=-1, 0, 1 you will see that they have the...
  15. 5

    NSW teachers go on strike part 2

    https://www.smh.com.au/national/nsw/teachers-to-strike-next-week-and-walk-out-if-government-mps-visit-their-schools-20220426-p5ag4x.html NSW public school teachers to go on strike next Wednesday Get your Star Wars merch organised because the day the teachers strike coincides with Star Wars day...
  16. 5

    Is calculating the focus of a parabola still in the syllabus?

    It got taken out from 2019 onwards.
  17. 5

    need help with this q

    Do you have parts a and b? That might provide some assistance for us.
  18. 5

    Is it just me....

    The first one is all right but yeah some working errors. At best this should be one less than full marks, at worst two less than full marks for this question. The second Q is pretty straightforward. Trig expansion is your ally \int_{0}^{\frac{\pi}{3}}\sin{5x}\sin{2x}dx. This I guarantee should...
  19. 5

    Is it possible to do actuarial studies with only advanced maths?

    How are they doing in these courses, probably this could be a deterrant.
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