Like, is their an algebraic method? For example if I am asked to find the domain of $g(t) = \sqrt{t^2 + 6t}$ , how do I determine the range of this? Is th...
I just want to make sure I'm on the right path with the problem. The problem is as follows: $$\lim_{x\to\infty}\frac{\sin^2x}{x^2}$$ I rewrote it as ...
My lecture notes say: A polynomial on $\mathbb{R}$ is a function $f: \mathbb{R} \to \mathbb{R}$ with $x \mapsto \sum_{k=0}^n a_k x^k$ with $n \in \mathbb{...
Sorry if this is a really simple question, but I was looking for an equation to produce a non-symmetrical parabola. (The left side of the parabola would h...
Gödel's second incompleteness applies, for instance, to r.e. extensions of PA. I am wondering if it applies more generally to arithmetically definabl...
Let's say you are betting on the outcome of some random variable. You can invest any amount $X$, and each outcome multiples that amount $X$ by a cert...