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A rope passing through a capstan on a dock is attached to a boat offshore...

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Calculus

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A rope passing through a capstan on a dock is attached to a boat offshore The rope is pulled in at a constant rate of 2 ft s and the capstan is 6 ft vertically above the water How fast is the boat traveling when it is 5 ft from the dock Let x be the horizontal distance from the boat to the dock and z be the length of the rope Write an equation relating x and z

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