Thursday

August 28, 2014

August 28, 2014

Posted by **bryan** on Sunday, February 3, 2013 at 12:28pm.

- Calculus -
**Steve**, Sunday, February 3, 2013 at 2:30pmIf the rope is of length h, and the boat is x away from the dock,

h^2 = 1+x^2

When x=8, h = √65

2h dh/dt = 3x dx/dt

Since dh/dt = -1,

2√65 (-1) = 3*8 dx/dt

dx/dt = -√65/12

Since dx/dt < 0, the boat is approaching the dock at about 0.67 m/s

**Related Questions**

calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

Calculus Practice Problems - A boat is pulled into a dock by a rope attached to...

calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

Calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

calculus - A boat is pulled into a dock by a string attached to the bow of the ...

Calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

Calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

Calculus - A boat is pulled into a dock by a rope attached to the bow of the ...

Calculas - A boat is pulled into a dock by means of a rope attached to a pulley ...