There are 2 questions(part of same question but I divided it into two): Q1. Prove that the length of the focal chord of the ellipse $\frac {x^2}{a^2}+\fra...

I spent an hour or so yesterday trying to solve the inequality $x^2 + x + 1 > 0$. Since I'd spent so long on a problem didn't seem like it sh...

Ive solved this problem and both sides of the function don't appear to be equal to me. However the solution in the back of the book says it is a solu...

Given the Volterra integral equation $$y(x)=x-\int_0^x xt^2 y(t)\,dt$$ How do I solve it? Predicting $y$ using iteration is seeming difficult. Please help.

When looking for integral solutions of Diophantine equations there are sometimes trivial solutions. For example, in the Fermat equation $x^n+y^n=z^n$ such...

I was trying to solve the following simple integration involving indicator function $I_{(a,b]}$ in a journal article. Here are the equations (in LaTeX not...

I have two Line Segments, represented by a 3D point at their beginning/end points. Line: class Line { public string Name { get; set; } public Point3D Star...

A point $x=c$ is an inflection point if the function is continuous at that point and the concavity of the graph changes at that point. And a list of possi...

I am struggling to factor $n^4 + 4n^3 + 8n^2 + 8n +4$. I have tried grouping the terms a couple of times, but got nowhere. What am I missing?

What's the correct way to round, or estimate, a number to a specified precision? Starting with wikipedia: Rounding a number twice in succession to di...