I'm trying to wrap my head around some dice maths with re-rolls. Say I have $m$ six sided dice and roll them. I then check each die individually, and...

I am trying to find all the zeros of the following polynomial: $P(x) = 2x^4-5x^3+21x^2+11x+91$ But I am already given one zero, that being $x=2-3i$. Norma...

Can anyone provide some techniques for solving this kind of problem? Many thanks.

If the line integral can be interpreted as the area under the curve $C$ on a scalar field, then the surface integral would be the volume under a surface o...

Let $E(x)$ be the expected value of random variable $x$. $c$ is a constant, then what will be the $E(cx)$ in simplest form and why?

favorite In every reference I found on the internet, the ODEs to be solved are essentially $$ \frac{dx}{dt}=v\\ \frac{dv}{dt}=F(t,x) $$ I am currently wor...

Let $V$ be a vector space equipped with the inner product $<-,->$. Let $A$ and $B$ be marix expressions for $<-,->$ in two different basis for...

I am given the following independent joint distributions: \begin{align*} P(X=2, Y=0) &= 1/2\\ P(X=2, Y=1) &= 1/4\\ P(X=1, Y=0) &= p\\ P(X=1, Y...

I have been looking at the Wolfram Mathworld page on parabolic coordinates here: http://mathworld.wolfram.com/ParabolicCoordinates.html and I'm havin...

In the following diagram are reported the sports practiced by alumns of a school. $$ \begin{array}{c|lcr} \text{Sport} & \text{Alumns($n^\circ$)} \\ \...