Is 1/x, integrated from 1 to infinity, considered "integrable"?
$\large \int\limits_1^\infty \frac{dx}{x} $ diverges by comparison with the infinite sum $\sum\limits^\infty\frac{1}{n}$. But $\frac{1}{x}$ is continuous ...
21 Apr 2026 1 READS
Archive: News
How to prove this arcsine identity?
In the top of this Wikipedia article for the arcsine distribution it states that $$\frac{2}{\pi} \arcsin(\sqrt{x}) = \frac{\arcsin(2x-1)}{\pi} + \frac{1}{...
21 Apr 2026 1 READS
Pumping water out of a triangular tank
Water is being pumped out of a triangular trough that is 6m long, 2m tall, and 3m wide along the top. Water must be pumped out the top end of a spout whic...
21 Apr 2026 1 READS
How to add two arcs together if they overlap
I'm writing some code for various calculations with arcs and lines and need help with some math. I have list of arcs and need to add them together if...
21 Apr 2026 1 READS
What's a multiplicative group?
What's the multiplicative group of integers modulo $n$? I checked out a couple of websites, including Wikipedia, and all I understood was they are th...
21 Apr 2026 1 READS
Find null space basis matlab
I want to find the basis of null space in matlab. I know that I can find it by simply running ns = null(A,'R') or Z = null(A) but I was wonderin...
21 Apr 2026 1 READS
![120, 60, 80, 90, ... [closed]](https://edu.smbbmcl.edu.pk/uploads/120-60-80-90-closed_720.jpg)
120, 60, 80, 90, ... [closed]
I went to the military service day and they had me do an intelligence test. This sequence was one of the last of them: $$120, 60, 80, 90, \dots$$ Several ...
21 Apr 2026 1 READS
Stability analysis for a system of two differential equations
I have this system of differential equations: \begin{equation} \frac{dx}{dt}=\alpha x-\beta xy\\ \frac{dy}{dt}=\beta xy-\gamma y \end{equation} I need to ...
21 Apr 2026 1 READS
Boolean Algebra simplify minterms
I have this equation $$\bar{A}\cdot\bar{B}\cdot\bar{C} + A\cdot\bar{B}\cdot C + A\cdot B\cdot \bar{C} + A \cdot B\cdot C$$ and need to simplify it. I have...
21 Apr 2026 1 READS
![What is the solution to the equation below? [duplicate]](https://edu.smbbmcl.edu.pk/uploads/what-is-the-solution-to-the-equation-below-duplicate_720.jpg)
What is the solution to the equation below? [duplicate]
Solve the equation below. $$x^2+\frac{81x^2}{(9+x)^2}=40$$ I couldn't solve it after trying many time.
21 Apr 2026 1 READS
