Soda Cans

A typical calculus optimization question asks you to find the dimensions of a cylindrical soda can with a fixed volume that has a minimum surface area (and therefore is cheaper to manufacture). Let r be the radius of the cylinder and h be its height. The volume, V, is constant and . The surface area…

Inequalities

This is an “extra” post on a technique that students are using a lot right now in graphing functions and working on optimization problems. In analyzing a derivative to find critical points and then the intervals where the function increases and decreases you need to solve these inequalities. I’ve observed many students solving inequalities the…