I'm currently studying Subspace tests in my linear Algebra module at uni, but am struggling to understand it, can anyone explain how to conduct a Sub...

I am in Calculus 2 and ran across this problem. The tank (hemisphere) is full of water. Using the fact that the weight of water is 62.5lb/ft3, find the wo...

I realized that same joint probability $f_{xy}(x,y)$ is used in calculation of expected value for sum $E[X+Y]$ and product of 2 random variables $E[XY]$. ...

Given any function, how can I find its vertical asymptote? I know that for rationals I can do this by letting the denominator equal to 0. But how about a ...

If we define a function $f:\Bbb R\to\Bbb R$, locally convex at a point $x$, if there exist an interval around $x$ in which $f$ is convex, will $f$ differe...

I'm trying to prove that the variance of a discrete uniform distribution is equal to $\cfrac{(b-a+1)^2-1}{12}$. I've looked at other proofs, and...

I was just wondering: We know that $\cot ^{-1}(\cot x) = x$. But what is the algebraic value of $\cot^{-1}(-\cot x)$? Is it $-x$? I am just getting a litt...

If $f$ represents the function $f(x)$ and $g$ represents the functions $g(x)$, is $(f \circ g)\circ f$ essentially $f(g(f(x)))$? I know that: $(f \circ g)...

Here's the question: 6 Dice are rolled. Which is more likely, that you get exactly one 6, or that you get 6 different numbers? Here's what I...

Has the aforementioned constant ever been used in any major proofs? Can it be expressed in terms of $e$, $\pi$, or both? Does it appear in any sort of geo...