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  1. Lith_30

    Anyone know ow to do this 4u proofs question?

    \frac{b+h}{2x}\geq\frac{\sqrt{bh}}{x} assuming that x does not equal 0 \frac{b}{2x}+\frac{h}{2x}\geq\sqrt{\frac{b}{x}\frac{h}{x}} Now from the triangle diagram using trig we know \sin\left(\frac{\theta}{2}\right)=\frac{\frac{b}{2}}{x} and \cos\left(\frac{\theta}{2}\right)=\frac{h}{x}. Then we...
  2. Lith_30

    BoS Easter meet up

    What day is this gonna happen? I might come if I'm free.
  3. Lith_30

    My Goal For An Immortal Generation.

    Blud was thrusting a different kind of sword in those goblins 💀
  4. Lith_30

    My Goal For An Immortal Generation.

    I will always be lurking
  5. Lith_30

    help with proof question

    ok for part b) let's just ski[ the first few induction steps assume that the following statement is true (a_1+...+a_k)\left(\frac{1}{a_1}+...+\frac{1}{a_k}\right)\geq{}k^2 hence prove for n=k+1, that is (a_1+...+a_{k+1})\left(\frac{1}{a_1}+...+\frac{1}{a_{k+1}}\right)\geq{}(k+1)^2...
  6. Lith_30

    Complex q

    What did I say??? :confused2:
  7. Lith_30

    Complex q

    same ngl, back when maths was comprehensible 😢 also bruh for my solution just factor out e^{i\theta} for each of these (e^{2i\theta}+2e^{i\theta}\cos\left(\frac{\pi}{8}\right)+1). waaaay simpler
  8. Lith_30

    Complex q

    idk if there is an easier way but... the from part a you get the quadratic factors as \\z^8+1=(z^2+2z\cos\left(\frac{\pi}{8}\right)+1)(z^2-2z\cos\left(\frac{\pi}{8}\right)+1)(z^2+2z\cos\left(\frac{3\pi}{8}\right)+1)(z^2-2z\cos\left(\frac{3\pi}{8}\right)+1) now we use the substitution...
  9. Lith_30

    MX2 Marathon

    nah i'm a queen 💅
  10. Lith_30

    MX2 Marathon

    they said that z_2=\alpha{z_1} so then z_1^2+z_2^2=z_1^2+(\alpha{z_1})^2=z_1^2(1+\alpha^2)
  11. Lith_30

    Pls Help

    The first equation \textbf{u}- \textbf{v}- \textbf{w}=0 means that all the vectors form a triangle, and from the given lengths we can say that this triangle is scalene. From there you can just use triangle rules to deduce what \sin(\theta) would be.
  12. Lith_30

    DMT (de moive's theorem) q.

    part ii) The question states that we should use the result from part i. Lets use the statement that n is divisible by 4, that is we suppose that n=4m, m\in\mathbb{Z}. Then we put that into the result from part i, 2(\sqrt{2})^{4m}\cos(m\pi)=2(\sqrt{2})^{4m}(-1)^{m} convert it back into terms of...
  13. Lith_30

    nah, don't feel like going

    nah, don't feel like going
  14. Lith_30

    yeah, bro is my pookie bear 🐻

    yeah, bro is my pookie bear 🐻
  15. Lith_30

    sauce: I Think I Turned My Childhood Friend into a Girl

    sauce: I Think I Turned My Childhood Friend into a Girl
  16. Lith_30

    if we get HD for 1531 i'll pull up in one

    if we get HD for 1531 i'll pull up in one
  17. Lith_30

    nah bruh the person in my pfp is a guy

    nah bruh the person in my pfp is a guy
  18. Lith_30

    james ruse 2019 maths q

    I think a is meant to be the length of PQ (from the answers) if we take the area of the triangle PQT, we get \frac{1}{2}a^2\sin\left(\frac{\pi}{6}\right), and since that is meant to be half of the area of the sector, we get the relation...
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