I've found two different ways to solve this trigonometric equation $\begin{align*} \sin(2x)=\sin(x) \Leftrightarrow \\\\ 2\sin(x)\cos(x)=\sin(x)\Left...

I am a student currently doing a course on modelling and simulation. I came across the classifications of mathematical models and studied that they can cl...

My answer here is d only because I graphed the piecewise function and tried to plug in the choices. None of the given values make the function continuous ...

I suppose this geometric shape is something very 'special'. I cannot clarify in short about being 'special', but I think this shape st...

I'm learning how to factor polynomials, but I'm having a hard time understanding the approach when the 2nd degree coefficient is greater than $1...

I know $y=2f(x)$ doubles the $y$ value in vertical shifting, and I know that $y=(1/2)f(x)$ halves the $y$ value. But, why does $y=f(2x)$ halve the $x$ val...

I am reading this paper http://arxiv.org/pdf/1207.3502.pdf Given a complex polygon. Its edges may intersect. The algorithm finds out if given point is ins...

This is a genuine question, I am not trying to convince anyone. But I'm sure hundreds of people already considered this, so if you can point out wher...

I was looking around on the internet until I stumbled upon this equation. $$111111111\times111111111 = 12345678987654321$$ How does this actually work? It...

Can anyone recommend a good source of technical ebooks? Amazon (Kindle) is out IMHO since many of their graduate level and above math and physics books ha...