Suppose $\mathcal F$ is a collection of real-valued functions on $X$ such that the constant functions are in $\mathcal F$ and $f + g$, $fg$, and $cf$ are ...

I am trying to solve for all the parameters of an ellipse in terms of the Semi-Latus Rectum, $\ell$, and Directrix, $x$. This is for some equation tables ...

I'm being asked the following question: If $A(t)$ is the amount of the investment at time $t$ for the case of continuous compounding, write a differe...

Dieudonne's A Panorama of Pure Mathematics serves as a nice, brisk overview of the state of pure mathematics at its time, but it would be nice if the...

I was wondering whether anybody could explain how you derive this implicit differentiation rule: $$\frac{\partial z}{\partial x} = \frac{-\partial f \math...

A group $G$ is called cyclic if there exists a $g \in G$ such that $G=\{g^k : k\in \mathbb{Z}\}$ So $k$ does not have to be positive, When it is said that...

In his Complete Guide to Perspective Drawing, Craig Attebery defines a central concept in two-point perspective: Measuring Points, which can be used to de...

I'm trying to figure Taylor series for $\sqrt{x}$. Unfortunately all web pages and books show examples for $\sqrt{x+1}$. Is there any particular reas...

I'm trying to find a power series representation for $$\frac{-x}{x^2 + 3x + 2}$$ I think I've done it correctly save the last step. I create par...

I have a screen wherein the upper-leftmost part is at x,y coordinate (0,0). Then I have a curved line that passes through 3 points: (132, 201), (295, 661)...