I'm totally lost on how I would integrate the following function: $f(x) = \sqrt{4+4x^2+1/x^2}$ If anyone could even just point me to the method of in...

How can I evaluate this expression without the use of a calculator and only assuming i know the standard angles ($\pi/3, \pi/4, \pi/6$)? \begin{align*} \a...

I read the following version of the spectral theorem in Banach Algebra Techniques in Operator Theory by Douglas: I'm trying to understand why this is...

When drawing a Hasse diagram, I have seen that you can draw a bigraph for the poset and remove the reflexive and transitive edges of the poset. However, d...

Why is it that All right angles are equal to each other -a postulate in Euclid's Elements (Wikipedia). Shouldn't it be a congruence rather than ...

I am not sure if there is such thing as testing for convergence a geometric sequence, but I have a problem in my book that asks to test for the convergenc...

Let $R$ be an integral domain and $f,g\in R[X_1,...,X_n]$ where $n>1$. What is an example of a pair $f,g$ such that $\deg(fg)<\deg(f)+\deg(g)$? More...

I'm currently studying a Fluid Dynamics module and mock exam question has me completely stumped, I have been given the complex potential and shown it...

Here is a polynomial $p(x,y) = (ax + by)^2$, it can be written like this $$p(x,y) = \left(\left[ \begin{array}{cc} a & b \\ \end{array} \right] \left[...

How to calculate $3^{\sqrt{2}}$ with a simple calculator ?. What is a simple calculator here ?:  It is a calculator which can only do the $...