I'm looking for the $n$-th derivative of $f(x) = \sin(2x)$. I build the first derivatives and tried to find a pattern and I did, but I did not find a...

What is the motivation for defining the cantor function $c(x)$ to be The value of $x$ in base $3$, with digits replaced and interpreted in base $2$? It se...

My teacher has talked about how a certain test will only effect twenty percent of your final mark, how do you calculate this? Say my current total mark is...

I've just been studying cyclic quads in geometry at school and I'm thinking see seems pretty interesting, but where would I actually find these ...

I am trying to write a program in JAVA to find the values of $li(x)$, but I do not understand how to compute $li(x)$ when $x > 1$. For the sake of this...

I been stuck on this for half an hour now and I need some help, I need to simplify the expression: $$\left[\left(\frac{a\sqrt{2}}{\left(1+a^{2}\right)^{-1...

I'm trying to find the standard deviation of $Z = X + Y$ given the following table: I'm getting $E[Z^2] = 36.31$ and $E[Z] = 5.45$, giving me a ...

Can anyone help me with this problem? I think I probably miss some theorems. In the figure angle $AED$ = $30$ deg, and the minor arc $AB, BC,$ and $CD$ ar...

This may be a bit of a trivial question, but can one prove the reflexive, symmetric and transitive properties of equality and the transitive property of i...

As title states, I have 3 events X, Y, Z in a sample space each with a different probability of occurring, and I wanted to find the probability of exactly...