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HMMT 二月 2000 · CALC 赛 · 第 2 题

HMMT February 2000 — CALC Round — Problem 2

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. Karen is attempting to lim b a rop e that is not se urely fastened. If she pulls herselfup 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 3
    pull herself up to lim b as eÆ ien tly as p ossible? 1
解析

英文解析

  1. The hange in Karen's p osition is x x . The optimal length to lim b is at a riti alpp oin t. The only realisti riti al p oin t is at the solution to 1 3 x = 0 or x = .23
    R13
    4 4