Short version : How do you graphically represent a vector(without converting to Cartesian) given components in direction of $\hat r$ and $\hat \theta$ (un...

I understand what a floor function does, and got a few explanations here, but none of them had a explanation, which is what i'm after. Can someone ex...

I am a programmer, so to me $[x] \neq x$—a scalar in some sort of container is not equal to the scalar. However, I just read in a math book that for...

I have tried and failed to prove the Dirichlet–Dini Criterion for Pointwise convergence of Fourier series which is as follows (source: Wikipedia) if $f$ i...

I'm really confused on how to approach this question: Recall that the Cartesian product $A \times A$ is defined as the set $\{(x, y) : x \in A \land ...

How does one solve this equation. I would like to see the solution of this problem in steps. $z\cdot\bar{z}=\left|3\cdot z \right|$ EDIT: Is it possible t...

I was given the function $y = x^3-x$ and told to find all tangent lines that pass through $(-2,2)$. Not sure what steps to take past finding the derivative.

The divergence in spherical coordinates is derived as $$\nabla\vec A=\frac{1}{r^2}\frac{\partial(r^2A_r)}{\partial r}+\frac{1}{r\sin\theta}\frac{\partial}...

A quarter sphere with a radius of $10 \text{ units}$. Please help, also remember the sides. I used the normal formula of the total surface area of a spher...

If I know the probability of event $A$ occurring and I also know the probability of $B$ occurring, how can I calculate the probability of "at least one of...