mathematics extension 2

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    Teacher-run HSC Study Day Invitation - Wed 9th Oct, NW Sydney, $10/student.

    Hi all, Our Church in Riverstone (NW Sydney) has put together a team of 8 experienced teachers (from 7 different local schools) who are keen to help year 12 students study on Wednesday 9th October. You can ask questions, get help with past papers, get feedback on your own work, and spend time...
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    Physics and extension 2 maths?

    Hello people, I was wondering if mathematics extension 2 and physics topics overlap with each other? If so would it be beneficial to take both subjects since you would know the content and understand the concepts better? Thank you 😁
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    Selling Notes

    Hi, My name is Abhi, I attended a top 20 school in NSW for my HSC. As of now I have been collating all my notes together so I should be gathering more resources for each of my subjects in the following days. Here are the prices for the notes I have collated: For Mathematics Extension 2...
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    Im scared lol

    Got ext 2 tmrw... i have done papers but i still feel so underprepared and i feel like i wont be able to answer a single question at all..... how about u people?
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    Does anyone know what the minimum raw mark was for e4 in MX2 2022?

    I got 64 (skull face) im aiming for e4 in all the hsc past papers i did... i just wanna know
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    Challenge integral

    does anyone know how to do this ? I tried doing it and i got it wrong
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    How do I do this?

    I got part a ) For b) I managed to prove k^k < 1/4(k+1)^k+1 but i am struggling to prove the middle bit for some reason which shouldnt be that hard but idk why im struggling lol
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    Does anyone have a derivation of the formula for the shortest distance to a line?

    Im talking about this formula: I was doing a hunters hill high extension 2 trial and they asked to find the min value of |z|. Would I need to derive this formula or can i just use it in an exam?
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    Maths Extension 2 2023 Predictions?

    What do we think guys, easier or more difficult than last years?
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    How to find the shortest distance between two lines ?

    The question basically is: Find the shortest distance between lines r = i+2j+3k + lambda (2i+j+4k) and r = 2i+4j+5k + mu (3i+4j+5k). I don't get these sort of questions and I really need help. Can someone give me a solution that doesn't involve the use of matrices please.
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    How would you do this ?

    I got the RHS of the inequality just dont understand why 1 is less than nth root of n. Should it not be less than or equal to?
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    Prove that there is no greatest even integer

    Is this how I should complete my proof: By way of contradiction assume that 2k is the largest even integer. Now consider (2k)! (2k)! = (2k)(2k-1)(2k-2).......(k)(k-1)(k-2)......(2)(1) = 2[k(2k-1)(2k-2).......(k)(k-1)(k-2)......(2)(1)] = 2p, which is also an even integer. This contradicts...
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    Can anyone please provide some feedback on my proof

    The question was asking: Prove the following statement using either direct or contrapositive proof: If n is an integer then 4 does not divide n^2-3 Here is my working out: let n^2 - 3 = 4m By way of contradiction assume n^2 - 3 is rational, ie; n^2 - 3 = a/b (BTW in the funky looking...
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    Mathematical Induction Question

    For the following question when I am trying to prove the n = k+1 case am I allowed to substitute it in the first line of the question and also in the second line of the question? What I am trying to say is am i allowed to assume:
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