Re: The Nonsense Thread
Ok so idk if you actually want an answer, but I'm doing it to make sure I know what I'm talking about so:
You know the usual matrix equation:
Mx=b
Now the whole idea behind eigenvalues/eigenvectors is to move everything in straight lines as this is the easiest way to...
My name is Matthew and I am offering private mathematics tuition for Mathematics Extension 1 and Mathematics Extension 2. Maths in schools is rarely taught in such a way that the student gains a deep and meaningful understanding of the content that goes beyond rote learning standard procedures...
Now that results have been released, post what university course you are more than likely doing next year!
Personally I'm hoping to do B.Science (Adv Maths) at USYD.
Guess what new topic will be invented tomorrow for the question 14. Three guesses each.The person who guesses correctly doesn't win anything though, I can't afford it.
I'm thinking:
1) combinomialations
2) rates of parametrics
3) polynircle geometry
1) Which piece of equipment would you use to measure the amount of suspended solids in water:
a) filter paper
b) turbidity tube
2) When testing water quality, using more water samples improves:
a) validity
b) reliability
c) accuracy
d) makes a fair test
Getting mixed responses...
If we were given the four water samples above, but we didn't know which was which, what reasons could we give to identify which one is the "Urban" sample.
If:
\sqrt{\alpha} < \sqrt{x} < \sqrt{\beta}
Then:
\sqrt{x} \approx \sqrt{\alpha} + \frac{x-\alpha}{\beta-\alpha}
I've brought this up a long time ago, but I just remembered it so I thought I'd make a thread to see if this actually leads to anything more.
Background info: basically I was...
\\ $A random positive integer $ n $ is selected for the expression $ \\\\ S_n = \sqrt{\frac{\sum_{k=1}^{n} k^3 }{9}} \\\\ $ Find the probability that $ S(n) $ is an integer$.
How did everyone go?
I found the first 18 questions to be pretty straight forward, but 19 and 20 were challenging.
Question 21-24 I just guessed, but I ended up getting questions 25, 26, and 29 right (I think), so I'm pretty happy with that.
Not sure what level this is so I'll just post it here:
http://math.stackexchange.com/questions/106359/intuitive-limit-integration-and-gamman-x
I'm trying to prove that, for the first integral on the page, the LHS becomes the RHS. I ended up with the RHS but with a '-1' on the end of it which...