This problem confounded mathematicians of the 1600s/1700s, nearly lived to see its 100th birthday, and brought great fame to its 28-year old solver, Leonhard Euler, who applied new (yet dubiously sound at the time) methods to confront it.

Michael gose to a theme park and rides two different roller coasters that both begin on a raised platform his height while on the first roller coaster measured in feet from the platform height can be modeled by the following graph where t is the number of seconds since the ride began