The topology of a graph (i.e. a network topology), as far as I can tell, doesn't actually have anything to do with open or closed sets, nor does it h...

I'll say $\vec{a}$ and $\vec{b}$ are collinear if they lies in same line, like (1, 2, 3) and (-1, -2, -3). What should I call two vectors in same dir...

Why do we say that $\sqrt{a}$ is a square root of $a$? Is this because $\sqrt{a}$ is a root of the function $f(x)=x^2-a$? Cubic root similarly? Thanks in ...

I'm learning Trigonometry right now with myself and at current about Trigonometry Ratios of multiple and Submultiple angles. I am not able to underst...

Let say I have a rectangle with width and height in meters. Now, I need to scale down my rectangle with x meters. How can I find scaling factor?

Here's an interesting review question I have: Find a nonzero matrix, so that when it is multiplied by another nonzero matrix, the zero matrix is the ...

So, horizontal asymptote of this rational function $\frac{x^{}}{x^{2}+4}$ is y = 0. But this function's graph goes through the origin which is (0, 0)...

Evaluate the line integral where $C$ is the given curve: $\int_C xy^4 ds $, $C$ it the right half of the circle $x^2+y^2=16$ I was following a similar exa...

I'm always having difficulties with what actually suffices as a proof, and what is obvious enough to not have to prove it. Here some I have those pro...

I have two matrices A and B , whose multiplication doesn't commute. So, if i apply the binomial formula , i get $(A+B)^{n} \neq (B+A)^{n}$. This is a...