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August 21, 2014

August 21, 2014

Posted by **Anonymous** on Wednesday, October 10, 2012 at 10:20pm.

- calculus -
**Steve**, Thursday, October 11, 2012 at 10:37amconsider y=0 at the bot bow, so the pulley is at height 7

if the boat is at distance x, the length r of the rope from pulley to boat, is given by

r^2 = x^2 + 7^2

when x=24, r=25

dr/dt = -2

2r dr/dt = 2x dx/dt

2(25)(-2) = 2(24) dx/dt

dx/dt = -25/12 ft/s

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