please i need help with this 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 4 ft vertically above the water. How fast is the boat traveling when it is 12 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.Differentiate both sides of the equation with respect to t.dxdz%3DdtdtWhen the boat is 12 ft from the dock, it is traveling at about(Round to two decimal places as needed.)ft3 /s.ft? /s.ft /s.ft.

Name: please i need help with this A rope passing through a capstan on a doc
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: please i need help with this 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 4 ft vertically above the water. How fast is the boat traveling when it is