# Recent content by integral95

1. ### BoS Maths Trials 2019

I honestly don't recall learning the inverse function theorem until first year uni to be fair (and basically never used it from 2nd year and later) , so I doubt the majority of the high-school students would even consider it. Please share some more rants pls this is hilarious.
2. ### BoS Maths Trials 2019

x = tan\theta
3. ### BoS Maths Trials 2019

Wow this is definitely harder than the previous years. I see that Carrotsticks having extra assistance from former BOS members (who are also math whizzes :P) definitely revoluntionised the content. However, with the new syllabus being implemented, I wonder what mathematical theorem do you plan...
4. ### BOS maths extension 2 trial exam 2018 E4 cutoff

You can't compare the BOS trials with the HSC. It's just at a completely different level since it's specifically aimed to challenge the students who have mastered virtually every single topics, i.e people who have the potential to easily achieve 95+ HSC. Even if you did do badly, it wouldn't...
5. ### PDF files of new textbook.

Hey so what textbooks would you recommend with the new Stage 6 math new syllabus (2U/3U/4U) Also, does anyone have any pdf files of those?
6. ### Exponential Growth and Decay Help?

When you're finding the rate, or how fast or slow something is, you use the derivative expression. so for c) you find dS/dt and then sub in t = 5 and your value of k from part b), that's your rate. d)sub S = 4 (as that's the amount that's left undissolved ) and your k from b) Then you solve...
7. ### Tips on how to avoid making silly mistakes?

The problem with checking your answers over, is that sometimes you would think it's right in the back of your mind so it could blind you from seeing the mistake. What I would do is that I would read the question thoroughly a few times (even though it's something I'm familiar with), and then do...
8. ### parametrics question

True that, you should change tan^2 to sin^2/cos^2 then simplify to get \frac{sin^2 \theta}{tan^2 \theta} Then sub the equations from my 2nd line.
9. ### parametrics question

xy = tan^2 \theta - sin^2 \theta x + y = 2tan \theta \ \ \ y-x = 2sin \theta xy = (\frac{x+y}{2})^2 - (\frac{y-x}{2})^2
10. ### Need help understanding the new HSC Maths course

I'm not sure what you mean by "New" HSC Math courses (you mean progressing to senior or a complete revamp in the content?) Anyhow, all I can say is that you general math is basically learning applied "real life" math like finding areas and doing some basic finance stuff you might encounter in...
11. ### Ability

My parents and relatives would talk about how my mum and dad did really well in math back at school in China. I'm not sure if it's legit or not haha but I was able to gasp at most concepts a bit better than the average student so I guess it's a factor.
12. ### Inequality Proof (fitzpatrick review 8, q5d)

That's not even true since you're squaring a number less than 1 0<ln(2)<ln(e) = 1 \\ \\ ln(2) > (ln(2))^2 2ln(2) > (ln(2))^2 \Rightarrow 2 > ln(2) At the moment I still can't figure the lower bound either.
13. ### Exponential and Log Function Question Help

I think you mean \frac{1}{2}(e^2-1) Also I'm not sure how you got that integral cause the integral is suppose to be simply \int_0^2 e^x \ \ dx
14. ### Can someone explain how to do this question [Limits Question]

In order to find the horizontal asymptote, you need to take the limit as the x-value approaches infinity. You also need use this concept. lim_{x \rightarrow 0} \frac{sinx}{x} =lim_{x \rightarrow \infty} \frac{sin(\frac{1}{x})}{\frac{1}{x}} = 1 lim_{x \rightarrow \infty} \frac {x^2...
15. ### Parametrics Help

Note that is says distinct points so that already implies p \neq q You can easily see that's true if you simply observe the equation mQRmPR=-1. which leads to (p+1)(q+1) = -4 and you'll understand that p and q can't be -1 as you'll get zero. However also observe that both p+1 and q+1 can't...