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Re: University Statistics Discussion Marathon Bump! Really interested if someone has thought up of a more efficient way to do the question (or identify, if it exists, the flaws in my work).

Re: MATH1131 help thread Let u = 1/x and see what happens when you find the limit.

Depends on your definition of 'bad'.

Depends on your definition of 'bad'.

Sorry, I meant condescending to some degree. You can't approach them without feeling judged.

Too many to list but the some important ones are: 1) Often times has trouble explaining concepts 2) Hard to approach e.g. even they may appear 'nice', but are passively condescending 3) Gets uneasy when a student knows more or solved a problem that the tutor could not solve 4) Unaware of a...

Re: University Statistics Discussion Marathon Can't any quick way of doing it at the moment. Please let me know if any of this is wrong. P(X \geq 43) = \sum_{k = 43}^{78} \binom{78}{k} p^k (1-p)^{78 -k} = 1 - \sum_{k=0}^{42} \binom{78}{k} p^k (1-p)^{78-k} Since probabilities sum to 1, we...

Re: University Statistics Discussion Marathon Not sure... how to compute... (p = 0.5) X \sim \mathrm{Bin}(78, p) \implies P(X \geq 43) = \sum_{k=43}^{78} \binom{78}{k}p^k (1-p)^{78-k}

Re: MATH1131 help thread [R] Requires IVT (not hard). [H] Write the polynomial as: p3(x) = p2(x) + x3/3!. Then use previous part and calculus (monotonicity) to argue that p3 has exactly one root.

Re: UNSW chit chat thread 2017 Why are you doing honours? Just interested.

When I did it, we had Jie Du for Abstract Algebra (first half of semester) and Lee Zhao for Fundamental Analysis (secomd half of semester). Abstract algebra was difficult due to the fact that Jie Du rarely gave us intuition to start with but he was very rigorous. It's new stuff too so you...

Re: MATH1131 help thread Alternatively, \begin{align*}\Re \left(\frac{1-z}{1+z} \right )& = \Re \left( \frac{1-z}{1+z}\times \frac{1+\bar{z}}{1+\bar{z}} \right ) \quad [\text{analogous to rationalization on }\mathbb{R}] \\ &= \Re \left( \frac{1 - |z|^2 +\bar{z} - z }{|1+z|^2} \right )...

Re: Statistics Got an example question?

I'd like to see your working, otherwise wolframalpha can easily answer your question. I'm highly skeptical of that answer due to it's simplicity and given this: \begin{align*} y = e^{-\sqrt{3t}}\sin t \Rightarrow \ln y &= -\sqrt{3t} + \ln( \sin t) \\ \Rightarrow \frac{dy}{dt} \frac{1}{y} &=...

Goal: find p and q. Information: -Q(x) has a zero at x = 1; what does this imply? -Q(x) has a remainder of (1-7x) when divided by (x^2 + 2); what does this imply?

I'll give you a basic example. Let x = Matthew587's debt to He-Mann = 2017 apologetic letters typesetted in LaTeX and must include a picture of a golden coin covered in acetic acid. Let y = 2017 letters sent to He-Mann. Then, x/y = 2017/2017 = 1. That is, your debt can be paid in one payment...

Still abstract. Can you provide a concrete example demonstrating this idea? i.e. incorporating realistic objects like monkey noses, hexagonal-shaped dishes, dollar coins covered in acetic acid, etc

I highlighted the word 'understand' because I demanded a concrete understanding, not abstract.

Why is negative divide by negative equal to a positive?

Re: International Baccalaureate Maths Marathon If you were pedantic, then expressing your answer in years only is more appropriate since our question was with respect to years. i.e. maintain consistency of units