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  1. J

    Probability and graph question

    Thanks so much! That was really helpful.
  2. J

    Probability and graph question

    How would you get a general solution for a question like that though? I must admit I never thought of that method though, thanks for that!
  3. J

    Probability and graph question

    Hey guys, I need help with these two questions: http://m.imgur.com/a/39Qms Any help would be greatly appreciated, thanks.
  4. J

    Prelim Chem Thread

    Hey can anyone help with these?
  5. J

    Prelim Chem Thread

    Bump
  6. J

    Prelim Chem Thread

    Hey guys, I have a couple questions I'm kinda stuck on: 1. What steel products can be recycled relatively easily 2. Large quantities of lead are recycled. From what products is lead most easily recycled? 3. Why is it difficult to recycle zinc? I have some ideas, but I'm not confident at all...
  7. J

    Complex number locus questions

    Hey, can someone explain the locus questions such as arg(z-a)-arg(z-b)=θ, because I don't really understand them. Same with arg(z-a)+arg(z-b)=θ
  8. J

    Complex Numbers Questions

    Hey, I need help with two questions: http://imgur.com/YmMw5kd http://imgur.com/hVWn0OS I only need help with a) ii) and c) iii) B), but the whole question is needed to solve it so I posted the whole thing. Thanks.
  9. J

    Induction questions

    Here are the questions: http://m.imgur.com/scXruJa I'm not really sure how to start on the questions in 17, and I can't do 18.
  10. J

    Sums and differences of powers

    Oh did the answers mean: $$=\left(2^{2^n}+1\right)\left(2^{2^n}-1\right)$ when they wrote $$=\left(2^{n}+1\right)\left(2^{n}-1\right)$ And that's why they did F(n)[F(n)-2)
  11. J

    Sums and differences of powers

    Hey, I'm trying to do a question but I keep getting a different answer for the first part: The answers say that F(n+1)-2=((2^n)+1)((2^n)+1) but when I was doing the question I got F(n+1)-2=((2^n+1)+1)((2^n+1)-1). Can someone show me how to get the answer, thanks.
  12. J

    3 series questions

    q20 answers:
  13. J

    3 series questions

    Thanks man, I'll check soon.
  14. J

    3 series questions

    I didn't need all of the parts, no, just I thought it would help if I gave the full question.
  15. J

    3 series questions

    Lol, is that a pun on series or something?
  16. J

    3 series questions

    Hi, I have some questions that I have no idea how to do, here they are: http://m.imgur.com/Ro7qBgm Thanks
  17. J

    Sequences and series questions

    Thanks man, I could never get b) but that helped a lot.
  18. J

    Sequences and series questions

    No, that's the full question. By the way the answer for a) is (-1+root(5))/2, and b) is (3-root(5))/2, I just have no idea how to get there.
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