I'm old 35 but starting just now with maths, so sorry if I ask non complex questions. 0 is the only number that just has one square root. Is the expl...

I am trying to find the derivative of $2\sqrt{x-3}$ using the limit definition of a derivative. What I did is $$\lim_{h \to 0} \frac {2 \sqrt {(x+h)-3} -2...

I have no idea how to anywhere with this problem, can somebody please help me answer this question, I am a beginner at trig and am looking for some help

I want to know if there is some systematic way (using some combinatorial argument) to find the number of elements of conjugacy classes of $S_n$ for some g...

Determine the equation in normal form that contains the line $\left\{\begin{matrix} x=1+t\\ y=3t\\ z=2t \end{matrix}\right.$ and is parallel to the inters...

Let $G$ be a group and $H \leq G$ and $K \leq G$ Prove that $H$ is characteristic in $K$ and $K$ is characteristic in $G$ then $H$ characteristic in $G$ $...

It's usual in Complex Analysis see some points of the domain of a function as undefined. See for example as Wikipedia defines a removable singularity...

I am looking at some slides that compute the MLE and MAP solution for a Linear Regression problem. It states that the problem can be defined as such: We c...

Given $a_n, b_n$ such that $\exists N \forall n>N a_n, b_n \geq 0$ I want to show that if $\sum_{n=0}^{\infty}a_n$ and $\sum_{n=0}^{\infty}b_n$ converg...

I have the information that: $$ x^3 − x^2 −1 =0 $$ Has a "positive real root" of: $x \approx 1.4655\ldots$ My questions are, please: 1) What is a "positiv...