Example 1-7-3 - Maple Help



Chapter 1: Limits



Section 1.7: Intermediate Value Theorem



Example 1.7.3



 A simple closed path is walked in rugged terrain. Suppose the path is parametrized by $s$, with $0\le s\le 1$. and suppose further that the heights along the path are given by $h\left(s\right)$. Prove that there are two points along the path where $h\left(a+1/2\right)=h\left(a\right)$.