HMMT 二月 2000 · CALC 赛 · 第 2 题
HMMT February 2000 — CALC Round — Problem 2
题目详情
- Karen is attempting to lim b a rop e that is not se urely fastened. If she pulls herself 3 up x feet at on e, then the rop e slips x feet do wn. Ho w man y feet at a time m ust she pull herself up to lim b as eÆ ien tly as p ossible? 1
解析
- The hange in Karen's p osition is x x . The optimal length to lim b is at a riti al p 3 2 p oin t. The only realisti riti al p oin t is at the solution to 1 3 x = 0 or x = . 3 1 R 4 4