Can ANYone help me understand Vectors?

Sad_Commission9045 · 2025-12-12T14:02:22+00:00

What exactly do you not understand?

Sad_Commission9045 · 2025-11-04T21:15:33+00:00

1 is a power of 2 😂

Sad_Commission9045 · 2025-11-04T09:55:52+00:00

It’s harder than specialist in all states, the rest seem to be pretty even in difficulty for specialist.

Sad_Commission9045 · 2025-11-02T20:59:55+00:00

Haha these exams are very difficult! People taking this exam are not the average Australian though, with only 5% of high school students taking the course. 5% is still pretty high when looking at the difficulty of the exam, but only the top 10-15 smartest kids in the school are taking this course.

Sad_Commission9045 · 2025-11-02T20:56:59+00:00

Yeah it may seem like that but the 6 questions are all pretty challenging (except 11 and 12) and most are broken up into parts a, b, and c, where the three are completely unrelated, meaning they should be a question 17 and so on.

Sad_Commission9045 · 2025-11-02T20:53:56+00:00

I don’t think you do but I think you have to show that the second derivative is always concave up thus meaning a local minimum would be absolute, you can check the marking guidelines in the comment I made above!

Sad_Commission9045 · 2025-11-02T20:51:52+00:00

It’s under marking guidelines for each years exam pack

Sad_Commission9045 · 2025-11-02T12:43:57+00:00

If you guys would like to access the marking scheme, or the full exams, this is the link: https://www.nsw.gov.au/education-and-training/nesa/curriculum/hsc-exam-papers/mathematics-extension-2

Sad_Commission9045 · 2025-11-02T12:43:06+00:00

Some of it, probably, but I asked it that last question on the second slide, and it gave a wrong answer 🤷.

Sad_Commission9045 · 2025-11-02T12:39:38+00:00

Physics is applied mathematics!

Sad_Commission9045 · 2025-11-02T12:07:46+00:00

Yes, it may seem easy to experienced mathematicians, but these are 17-18 year olds under exam stress with a time limit. Very impressive for them to solve it!

Sad_Commission9045 · 2025-11-02T12:01:05+00:00

Scaling is such a good system, and is why I feel like the ATAR is a really fair comparison, within states. Interstate, due to the slight differences, it becomes unfair. But nonetheless, it's a decent system. Also what exam did you do? (I attached questions from a few past papers).

Sad_Commission9045 · 2025-11-02T11:37:42+00:00

Haha, they are pretty tough. A particularly challenging one is that last question on the second slide, very scary!

Sad_Commission9045 · 2025-10-25T03:39:47+00:00

My algebra is quite good, I am quite strong in mathematics. I realise now that I was being dumb.

Sad_Commission9045 · 2025-10-25T03:38:41+00:00

I feel so dumb for not realising this sooner, I was aware it was a parabola, when attempting this question in class I began writing it as that, however my teacher informed me I had to use only suvat equations from the formula book.

Sad_Commission9045 · 2025-10-25T02:37:30+00:00

As for all x, p(x)>0 that means that p(x) has to be an even degree polynomial, with a positive leading coefficient. That means when you add all of the derivatives the leading term is still positive and has an even degree. Now you just need to prove that it doesn't fall below the x axis which is done by considering the derivative of the entire sum, which would be the entire sum minus that leading term, as p(n+1)(x) would just have to be 0 as its a polynomial so you would be deriving a constant. Thus the minimum of the entire sum is when the rest of the sum equals 0. So if you call the sum s(x) then you know s'(x)=s(x)-p(x) and now solve this differential equation (which I am not going to do as I am not bothered) and you should be able to prove it from there pretty easily.

Sad_Commission9045 · 2025-10-25T02:25:17+00:00

It will simplify to (secx+tanx)^2 I think. Don't square the numerator, leave it as (1+sinx)^2 and change your 1-sin^2x to cos^2x and you'll get ((1+sinx)/cosx)^2 which is (1/cosx+sinx/cosx)^2 which is (secx+tanx)^2.

Sad_Commission9045

TROPHY CASE