This game is played in bars in Wisconsin, USA, but I'm sure variations are played many places around the world. The game has practical value, since o...

$$\int\biggl( \sqrt[3]{\frac{\sin x+1}{\cos x}}+\sqrt[3]\frac{\sin x-1}{\cos x}\biggr)\frac{1}{\cos^2x}\,dx ,\;x\in\Bigl(-\frac{\pi}{2},\frac{\pi}{2}\Bigr...

Give a basis for $(Col(A))\bot$ where $A$ is defined as follows: $A =\begin{pmatrix}-1&3&1\\ 2&2&1\\0&8&3\end{pmatrix} -> \begi...

I have recently been introduced to lattices, but I am not clear on how to prove a partially ordered set is a lattice. For example, let $B$ be any set and ...

I wanted to solve $y''+9y=sin(3x)$, where $y(0)=0$ and $y'(0)=0$ by doing a Laplace Transform. Taking $L[y''+9y]=L[sin(3x)]$ give...

For a calculus question I need to parameterise the surface of the torus generated by rotating the circle given by $(x-b)^2+z^2=a^2$ around the $z$-axis (w...

$$\det(A^T) = \det(A)$$ Using the geometric definition of the determinant as the area spanned by the columns, could someone give a geometric interpretatio...

Express the polynomial $x^3-4x-4$ as a linear combination of $x-2$, $(x-2)^2$ and $(x-2)^3$ I've been looking everywhere but I still don't quite...

I'm facing now for the first time the topic in the title, and found myself having hard times to figure out what a jump function is. If you look for a...

What is the measure of the radius of the circle inscribed in a triangle whose sides measure $8$, $15$ and $17$ units? I can easily understand that it is a...