An instant likely feels different to a person, or a redwood, or a gnat. What's infinitely small for one might be a whole lifetime for another – and that scale influences the choices we make.
We know pi appears when we talk about circles. But it appears in many other places, too. Why, pi, why?
More students are taking Advanced Placement calculus in high school. They may be learning techniques for solving certain problems at the expense of the mathematical foundations they need to advance.