Recent content by tywebb

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    Any good shows/movies?

    Watching NOVA s51e05 now. It is on A.I. Revolution Here is imdb storyline: A.I. tools like ChatGPT seem to think, speak, and create like humans. But what are they really doing? From cancer cures to Terminator-style takeovers, leading experts explore what A.I. can - and can't - do today, and...
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    Trig

    \text{Roots of }8x^3-6x-\sqrt3=0\text{ are }\alpha,\beta,\gamma \begin{aligned}\textstyle\tan^2\frac{\pi}{18}+\tan^2\frac{11\pi}{18}+\tan^2\frac{13\pi}{18}&=\textstyle\sec^2\frac{\pi}{18}-1+\sec^2\frac{11\pi}{18}-1+\sec^2\frac{13\pi}{18}-1\\...
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    Last movie you watched? And what you thought of it?

    watching ghostbusters frozen empire now. did you watch? you think it is as good as/better than/worse than the original?
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    Is there a Coroneos 100 thing for proofs?

    The ebook for this last one is now available. It came out a bit early a few hours ago. If you are old fashioned and want a hardcopy version you will still have to wait. I now have the ebook and have read half of it already.
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    Useful HSC Physics videos.

    bilibilis and youtubes on Einstein: Einstein’s Legacy: Modern Physics All around You: https://www.bilibili.com/video/BV1gg411h79r (12 videos) What Einstein Got Wrong: https://www.bilibili.com/video/BV1cW411n7yC (12 videos) Einstein's Relativity and the Quantum Revolution...
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    [Live POV] 2023 Extension 2 Maths Paper except you are the teacher seeing it for the first time.

    It was actually a student who raised this issue who goes by the name i ♡ wave to earth on another forum who got this ball rolling. Amazing that comments students make on online forums can actually result in changing a nesa hsc mg!!!!!!!!!!!!!!!
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    [Live POV] 2023 Extension 2 Maths Paper except you are the teacher seeing it for the first time.

    nesa had been informed of the error so we will see if they fix it.
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    [Live POV] 2023 Extension 2 Maths Paper except you are the teacher seeing it for the first time.

    Even more worrying is nesa encouraging students to use an inefficient method for 15bii resulting in a hopelessly laborious solution, painfully lexically dense, very unpleasing to the eyes, not at all appealing to the mind's eye - so much so any reputable publisher would reject it for publication...
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    [Live POV] 2023 Extension 2 Maths Paper except you are the teacher seeing it for the first time.

    Yeah. If you look at post #21 you can see Vivian Xu did it.
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    [Live POV] 2023 Extension 2 Maths Paper except you are the teacher seeing it for the first time.

    In nesa's mg https://educationstandards.nsw.edu.au/wps/wcm/connect/a2d37b93-72bb-4a62-b907-63aca804dc39/2023-hsc-maths-ext-2-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-a2d37b93-72bb-4a62-b907-63aca804dc39-oL-IGGs they put this for 16c: It is wrong. Can you see why wrong?
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    Maths Extension 2 Predictions/Thoughts

    See nesa's solution to 16c There is something wrong with it. Can you see what is wrong with it?
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    Integration

    I suggest you draw a diagram first. You could do it as area between curves or just use symmetry By symmetry, A=\textstyle2\int_0^1(x-x^2)\ \!dx=2[\frac{x^2}{2}-\frac{x^3}{3}]_0^1=2(\frac{1}{2}-\frac{1}{3}-0)=\frac{1}{3} Alternatively, by area between curves we have...
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    Official Upcoming Concerts/Gigs Thread

    Schoenberg's Gurre-lieder at the Sydney Opera House tonight 7pm and tomorrow at 7pm conducted by Young. If you are not going, there are many recordings and the best one is Abbado's and is on youtube at It also has the famous soprano Jessye Norman You may skip to 11:02 if you want to skip...
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    Is there a Coroneos 100 thing for proofs?

    Here are some more. The last one isn't out yet, but comes out in April. Nelsen, R. B., Proofs Without Words I, II and III, MAA Press, 1997, 2000 and 2015 Sethuraman, B., Proofs and Ideas: A Prelude to Advanced Mathematics, MAA Press, 2021 Ernst, D. C., An Introduction to Proof Via...
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