"How many ways can 21 people be divided into 3 equal groups?"
Just wondering if the answer should be 21C7 14C7 7C7 or same but divided by 3!, seeing as I don't know if the groups are implied to be 'distinct' or not.
Is it possible that some student results are entered later than others for the same subject? Because mine is a lot of points (like almost 10) over what I'm expecting lol
Re: UNSW chit chat thread 2016
can anyone who's done actl1101 confirm lectures are definitely recorded? would I be missing much just watching them from home
Thanks leehuan and Integrand!! I managed to get the arctan one out.
However for the first one I asked, I just want some clarification. I know 23 < c < 27 so if c < 27 then I can obtain the lower bound. But obviously if I use c>23 then I would require a calculator to show that the 3-23^(1/3)<...
Can anyone prove \frac{4}{27}<3-23^{\frac{1}{3}}<\frac{3}{16} using the mean value theorem? I've been trying to come up with functions that I can apply the MVT to but I've gotten stuck.
Also for \frac{8}{145}<\tan^{-1} \frac{9}{8}-\frac{\pi}{4}<\frac{1}{16}
Let f be continuous in \mathbb{R} with \lim_{x\rightarrow\infty}f(x)=\lim_{x\rightarrow-\infty}f(x)=0
Showthat if there is a number \xi such that f(\xi)>0 then f attains a maximum value in the reals.
[Note the max min theorem applies to finite closed intervals [a,b] only]...
2) Suppose that for any K>2 the solution to f(x) > K is [tex]x\epsilon(1,\frac{K}{K-2})[\tex]
What is the behaviour of f(x) as x approaches 1+? Carefully explain your answer
This is mainly a problem with my working.
So intuitively I know that the limit must be infinity. the reason being that...
Hey guys,
I don't come on here often but I've seen similar threads so I've decided to make one too :) For your reference I am doing MATH1151 this sem.
1) Find \lim_{x\rightarrow\infty} \sin\frac{1}{x} . I already know it's 0 but they want a solution using the pinching theorem.