I tried many ways to solve this but failed.  Any tips or way to solve?
28446
Is there a way to calculate the number of simple connected graphs possible over given edges and vertices?   Eg: 3 vertices and 2 edges will have 3 connected graphs But 3 vertices and 3 edges will have 1 connected graph  Then 4 edges and 3 will have 4 connected graphs  Till such values...it is easy to see its  V choose E  But what about when the number of vertices are less than number of edges...how to calculate then?  I am not able to visualize that  Can it be a variation of the Stars and Bars problem  Like...number of ways 7 edges(balls) can be connected to (kept in) 5 vertices(bags) such that no vertex(bag) is isolated (is empty)  Here maybe we might have to consider the number of edges twice as each edge needs two vertices...
79310
The problem is what are the integer solutions to  $$7x^2 - 40xy + 7y^2 = (|(x - y)| + 2)^3$$  I only got $x - y = 4 (\mod 13)$. Also, how to solve it?
114597
Hi, can someone explain the second matrix? and how to use K in this problem? Thanks!
95215
Possible Duplicate:         Any ideas?
31270
How should I start to show this. Can anyone give the specific steps?
39994
Had a conversation with a coworker the other day about this.  There's the obvious using a constructor, but what are the other ways there?
91833
Please show how to solve? I am stack with lie bracket. Thank you.
55368
I started with hard way of putting the coefficients into a matrix. But, iz did not help.  the following system of linear equations:
60872
I've tried solving it, but I'm not familiar with these kind of progressions and I couldn't get to a result. Also, I've found that the result is just $N/2$, but I don't get why would that be the answer, as it doesn't work for $N=1$ or $N=2$. Appreciate your help :)
38023
I'm not really sure how to go about this.. any help is appreciated.
80194
Exam preparation.  I'm a bit confused on where to start with this question. How could one approach this question?
106901
Any hints on how I should go about this? Thanks.
63955
Problem :   If $\tan^2\alpha \tan^2\beta +\tan^2\beta \tan^2\gamma + \tan^2\gamma \tan^2\alpha + 2\tan^2\alpha \tan^2\beta \tan^2\gamma =1$  Then find the value of $\sin^2\alpha + \sin^2\beta +\sin^2\gamma$    Please suggest how to proceed in such problem.
20751
I'm not sure how to go about this. Does it involve using MVT?  I got as far as saying $e = \frac{e^x - e^y}{x-y}$.
30509
can u suggest me any short trick of solving these kind of problems. How to find last four digits of any number raised to some power ?
39029
Trying to find the quotient and remainder of the problem below..but keep getting to wrong. Could someone demonstrate how to solve this correctly?
26742
It can't be $5$. And it can't be $4.\overline{9}$ because that equals $5$. It looks like there is no solution... but surely there must be?