一道AP微积分题目A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat.If the rope is pulled in at a rate of 1.1 m/s,how fast is the boat appr
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![一道AP微积分题目A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat.If the rope is pulled in at a rate of 1.1 m/s,how fast is the boat appr](/uploads/image/z/8465039-71-9.jpg?t=%E4%B8%80%E9%81%93AP%E5%BE%AE%E7%A7%AF%E5%88%86%E9%A2%98%E7%9B%AEA+boat+is+pulled+into+a+dock+by+a+rope+attached+to+the+bow+of+the+boat+and+passing+through+a+pulley+on+the+dock+that+is+1+m+higher+than+the+bow+of+the+boat.If+the+rope+is+pulled+in+at+a+rate+of+1.1+m%2Fs%2Chow+fast+is+the+boat+appr)
一道AP微积分题目A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat.If the rope is pulled in at a rate of 1.1 m/s,how fast is the boat appr
一道AP微积分题目
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat.
If the rope is pulled in at a rate of 1.1 m/s,how fast is the boat approaching the dock when it is 8 m from the dock?
只给答案也可以.能写出详细过程就更好了.
一道AP微积分题目A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat.If the rope is pulled in at a rate of 1.1 m/s,how fast is the boat appr
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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