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I don't think conversion is meaningful due to the differences in subjects at uni.

I think medicine is highly respected across certain communities. As a result there is high demand.

I am don't think you will be able find material easily. Last time I look at syllabus for yr 10 etc they seem quite jumbled. Perhaps looking at prelim or hsc content might be what you are after. So maybe as an exercise look at the syllabus which can be found on NESA. based on the syllabus come...

Just contact Usyd and ask them

Plenty of time. Python is well suited for machine learning and scientific computing i.e. optimisation stuff. You can do the encryption etc stuff as well.

You have not given timeframe or language. You should be find code online that you can use as a template. Something involving discrete maths. E.g. Data structures or some encryption or compression algorithm. Maybe possible is partial completion of RSA encryption algorithm depending on time. A...

Just consider the different cases

chemical analysis, chemistry, determination of the physical properties or chemical composition of samples of matter. Data Analysis chemistry: Seems to be more statistical or machine learning.

For 10 it is proof by cases. Suppose you are choosing x 2 times. So you need x^2. Do you understand the binomial theorem what is the importance of nCk. If yesthen I think you need to give the question a go.

You need to give the question a go. Often when we are try solve, prove etc we don't know how to approach the problem. When I first look at the problem I realize coefficients were similar the polynomial, through inspection. After examining it a little bit more I realise tan(4*theta) = 1/sqrt(3)...

Your image is rotated 90 degrees

So we have year zero no money is invested at the start. At the beginning of the first year that is end of year 0 there is 1500 dollars but since it was not invested at beginning of year zero it does not earn interest. So we have series like follows: 1500 + 1500(1.08) + ... + 1500(1.08)^14 =>...

Read the following https://www.mathcentre.ac.uk/resources/uploaded/mc-ty-addnformulae-2009-1.pdf

A lot of operations involving infinity are undefined. infinity + infinity = infinity (correct?) Then infinity/ infinity = (infinity + infinity )/infinity = 2 For this reason division by infinity is undefined. Any limit that cannot be evaluated upon substitution is considered indeterminant...

Predictions are not good for math. Study all the content in the syllabus.

So you think of |some_expression| as being the distance. Another more formal way is the euclidean norm. Basically 4 is the radius centre -2+3i. Using that you can find the range.

Try mathematical induction.

So irrational * irrational can equal a rational number so no it will not work. e.g. 1/sqrt(2) * sqrt(2)

I am not that familiar with science material but why don't you refer to YouTube you can often find a playlist with 20hr worth of materials. I am not to sure of the appropriateness of learning a term worth of content in a 2-3 days but I think summaries from textbooks might be what you are after.

scalar project is just length of vector c. vector projection. I can't think of better way to explain it other than diagrams. It is just referring to vector c in this case.