Question

一道AP微积分题目A boat is pulled into a dock by a rope attached to

Answer 1

设船到岸边的距离为x,绳子长度为L

根据勾股定理,x^2+1=L^2

等号两边同时关于t求导

得2x*dx/dt=2L*dL/dt

已知dL/dt=1.1,x=8

可以求出L=sqrt(65)

所以16dx/dt=2sqrt(65)*1.1

解得dx/dt=1.109

错了不要抽我.

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