Optimization - Minimum time to Swim and Walk to Town
In this problem we use calculus to solve a pretty classic Calc 1 problem: How do you minimize the amount of time it will take for someone to get from a point off shore to a town along the shoreline if she has to both swim and walk and each of those happens at different rates? (This is also a particular case of the somewhat famous "do dogs know calculus?" problem.) We set up an equation, take the derivative, and use the First Derivative test to justify our answer.
