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Prove the base case. Prove that if the statement is true for n = k then it true for n = k+1 #(1) Repeatly apply (1) to prove it is true for all n. For some question you may need to make use lemmas. It would be good if you made an attempt first and presented your attempted solution

I think what is going on they are applying binomial theorem. Basically you should try expand (1+i)^n and (1-i)^n. I will need to double check to make sure.

In the grand scheme of things it will not matter. What matters is you learn from your mistakes.

I found the form. I think you might be able to drive it assuming they don't required consider all the conditions for the exemption. https://www.nsw.gov.au/sites/default/files/2021-08/45071143-provisional-licence-conditions-exemption-application.pdf

This question is best directed at UNSW. There may be some subjects you receive credit recognition.

uts offers a biomedical engineering degree.

A bachelor degree is 3 years. A honours degree is 4 years. You can do an a double degree. That will be 5 years. I think it would be good idea to pair it with IT.

I think I have seen similar questions in Terry Lee. Can you show your attempt for part c/d even if you have failed to do. I assume x=cos ((2k+1) π)/12 is the solution to polynomial equation

While other post have given answer I thought would add more detail. There things called indeterminant forms. Basically if you cannot evaluate a limit using substitution then you have indeterminant form. (E.g., 0/0, 0^0, infinity/infinity, 1^infinity, infinity - infinity, 0*infinity) So in the...

I highly doubt they will appear and be useful but: double mathematical induction (There is some YouTube author) forward-back mathematical induction Euler-Maclaurin Inequality (Keith Conrad has an interesting paper on his website) On another note If you have time it may be fun to look at the...

The couple issues to consider 1) Does it matter 2) Do they know know what they are doing 1) Does it matter It may a student gets a high ATAR anyway from there hard work, or they get suffficient ATAR for the course they desire. 2) Do they know what they are doing Looking back on my experience...

If you want to do honours you can however the technical skills you get on the job are by far more important.

The engineering honours degree is recognised by Engineers Australia. To summarise there is no need for master degree. I agree about the Psychology though.

There are different types of master degrees beginner/advance. Depending on your case pursuing a master degree might not make sense if you have a bachelor degree as you would already know all the content. I think you can leave the decision of whether you want to pursue masters to later. Perhaps...

Thank you.

We need to find the area of the colored triangle (image is given below) with coordinates (0, 0), (20, 0), (20, 9). This will mean that the area of the triangle is 90 units^2 since 20*9/2 = 90. However if we follow the steps from b to e we will see the area of the triangle is 90.5. (b) Show...

So you can use the syllabus. I am not sure what your question is? e.g.: describe the impact on participants in decision support systems when some of their decision-making is automated and recommend measures to reduce negative impacts I got this from NESA. I think that IPT is more project based...

I think you might find robotics and data science interesting. A key challenge is applying AI in robotics. Another potential option is biomedical or something similar such as bioinformatics and data science. Also software engineering and computer science although there is overlap.

You could use MathTex, that is an add-in for Microsoft Word. You could also use math auto-proofing in MS word however I don't think it can write complex notation e.g. sigma notation or definite integral.

I have just type physicist on seek. Only 11 jobs came up. I also tried searching scientist. However a lot of them had other skills involved e.g. medical.