I know this seems like a juvenile question, but for some reason I can't recall how to do this. Lets say I want to find 87 reduced by 99.75%. What is ...

I have a polynomial of the second degree $a\cdot n^2 + b \cdot n + c$ and I need to find out natural numbers $n$, such that $\sqrt{a\cdot n^2 + b \cdot n ...

I am being ask to explain in two ways why is it that $y=ax^2+bx+c$ parabola opens up if $a$ is positive and why is it that $y=ax^2+bx+c$ opens down when $...

I'm aware of the common way to prove that sqrt 2 is a real number but I'm just wondering would it suffice to prove it is a real number by provin...

I am studying the dual simplex method from Lieberman - 10e. An approach called dual simplex method was described that is "applied" on the "primal table" i...

It is my first time that I met the word "entails". In mathematical texts, one usually sees "if and only if", "implies" or "iff" which bear no ambiguity. I...

Consider a unit square. What is the largest, and smallest, equilateral triangle with vertices touching the sides? Clearly the sides have to be larger than...

The derivative of $f(x)$ is the value of the limit of the average rate of change of $y$ with respect to $x$ as the change in $x$ approaches $0$. This is t...

$$Log(-e i)$$ My try: $$=\ln|0+(-e)i|+i[\arg (0+(-e i))+2\pi k]$$ $$=\ln|e i|+i(-\frac{\pi}{2}+2\pi k)$$ My attempt is correct?

$$\int \tan^{-1}{2y}dy$$ if I choose $u = \tan^{-1}{2y}$ then $du = \frac{2}{1 + (2y)^2} dy$ and $dv = dy$ and $v = y$ But I have a more complicated du. W...