A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the accompanying figure). The rope is attached to the bow of the boat at a point 12 ft below the pulley. How fast must the rope be pulled if we want the boat to approach the dock at a rate of 8 ft/min at the instant when 105 ft of rope is out? Pulley Dock Boat Round your answer to two decimal places. i ! ft/min

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the accompanying figure). The rope is attached to
the bow of the boat at a point 12ft below the pulley. How fast must the rope be pulled if we want the boat to approach the dock at a
rate of 8 ft/min at the instant when 105 ft of rope is out?
Pulley
20
Dock
Boat
Round your answer to two decimal places.
i
! ft/min
Transcribed Image Text:A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the accompanying figure). The rope is attached to the bow of the boat at a point 12ft below the pulley. How fast must the rope be pulled if we want the boat to approach the dock at a rate of 8 ft/min at the instant when 105 ft of rope is out? Pulley 20 Dock Boat Round your answer to two decimal places. i ! ft/min
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