Recent content by alligatorman

\frac{kn+1}{k}=n+\frac{1}{k}, where n is an integer. If p is a factor of k, then \frac{kn+1}{p}=n'+\frac{1}{k}, where n' is an integer.

You know that RT= 4x-6. You should be able to get an equation with one variable.

You want to divide both sides of the equation by some C such that \sin(\alpha)=\sqrt{3}/C and \cos(\alpha)=1/C. (So that we can use the trig summation identity) Then it must be true that (\sqrt{3}/C)^2+(1/C)^2=1. It follows that C^2=3+1. So in general, for y=A\cos(x)+B\sin(y), you want to...

This doesn't answer your question, but I find it to be another nice way of solving the problem. Notice that \sqrt{3}^2+1^2=2^2. So If you divide both sides of the equation by 2, you get...

Yes, I know your friend's secret to success.

use google

The book "Letters to a Young Mathematician," by Ian Stewart is also a nice book about the journey from student to mathematican.

The hint suggests to find a polynomial with integer coefficients. You have the right idea cubing, but there's a little more. You found x_0^3=5+\sqrt[3]{6}(\sqrt[3]{2}+\sqrt[3]{3}). But you can simplify that even more, by substituting x_0 in for \sqrt[3]{2}+\sqrt[3]{3}, to get...

You should provide the reasoning behind your answers.

couldn't be further from the truth

This question amazes me. If we had said, 'no, it is unlikely that you will get the position,' would you not go? Bombed the interview on purpose? Cried?

Try using the divisibility rules for 11 and 3.

http://en.wikibooks.org/wiki/LaTeX/Creating_Graphics#XY-pic

I hope not, as I am far from genius and it's the career path I have chosen.

I am a senior math major at UF. I don't know much about the Physics department, though.