My child's teacher raised a quesion in class for students who are interested to prove. The teacher says that the volume of a cube is the greatest amo...

Do positive semidefinite matrices have to be symmetric? Can you have a non-symmetric matrix that is positive definite? I can't seem to figure out why...

How many even integers between $100$ and $1000$ have distinct digits? I tried: $9 \cdot 9 \cdot 5=405$ $9$ [$9,8,7,6,5,4,3,2,1$ ($9$)] $9$ [$9, 8, 7, 6, 5...

Solve: $$ z^3 - 3z^2 + 6z - 4 = 0$$ How do I solve this? Can I do it by basically letting $ z = x + iy$ such that $ i = \sqrt{-1}$ and $ x, y \in \mathbf ...

I have a camera looking at a computer monitor from varying angles. Since the camera is a grid of pixels, I can define the bounds of the monitor in the cam...

Im given a graph of $f(t)$ and i need to find the Laplace transform of $f(t)$. From looking at the graph i have $$f(t) = \begin{cases} t, & \text{$0 \...

What is the average result of rolling two dice, and only taking the value of the higher dice roll? To make sure the situation I am asking about is clear, ...

A teacher will divide her class of 17 students into four groups to work on projects. One group will have 5 students and the other three groups will have 4...

why the expectation of X is equal to $$sum(x.p(x))$$ , or the integral in the case of the continuous variable. I mean where this definition cames from?

I am new to this forum. I've been programing for some time, and now starting my engineering degree. I am trying to find an online utility that will h...