Starts at: 2025-03-01 10:45AM
Ends at: 2025-03-01 12:00PM
Abstract:
The ElonU Tangential’s student group solved the AMM problem 12476 which states: Let $C$ be one arch of the elliptic cycloid generated by the ellipse $x^2+\frac{1}{4}(y-2)^2=1$. That is, let $C$ be the curve traced by the vertex at the origin as the ellipse rolls without slipping along the $x$-axis for one revolution. What is the area under $C$ and above the $x$-axis? Our solution uses a clever change of perspective letting a tangent line roll around the ellipse, instead of the ellipse roll along the $x$-axis. The desired area turns out to be a surprisingly simple number.