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Is there any easy way to decide which method I should use to find the volume of a revolution in Calculus? I'm currently in the middle of my second at...
The name of a variable in the $\mathbb{R}$ is called scalar. Multiple scalars form a vector: $\mathbb{R}^n$ Two or more vectors form together a matrix: $\...
I attempted to find the extrema of the following piecewise function $f$ on the closed interval [3,5]: $$f(x) =\left\{ \begin{array}{c}\frac{2}{x-5}, x \ne...
Find the remainder when ${{5^5}^5}^5$ is divided by $24$ I tried using congruence modulo. $$5^2\equiv1\mod{24}$$ $$5^5=125\mod{24}$$ But this does not giv...
In order to prove $b(x,n,p) =$ ${n \choose x}p^x(1-p)^{n-x}$$for$ $x=0,1,2,...,n$ (and $0$ otherwise) we must show $1 = \sum_{x=0}^n{n \choose x}p^x(1-p)^...
The first three terms of an infinite geometric sequence are $m - 1$, $6$, $m + 4$, where $m\in\Bbb{Z}$ Write down an expression for the common ratio, $r$....
I'm trying to simplify this boolean expression: $$(AB)+(A'C)+(BC)$$ I'm told by every calculator online that this would be logically equiva...
I'm going through a proof for the mean value theorem. We have a function $f(x)$ continuous on $[a, b]$ and differentiable on $(a, b)$. Then we define...
I'm attempting a novel approach to some tough integration problems. I'm using the idea of series expansions to help integrate. In other words, I...
I'm looking for a simple (or better yet, minimal) example of a planar triangulation that would be "obviously" non-Hamiltonian. Thanks in advance!
