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14. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b) Ring at edge of dock 16' a. How fast is the boat approaching the dock when 10 ft of rope are out? ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/sec (Type an integer or a simplified fraction.)

14. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b) Ring at edge of dock 16' a. How fast is the boat approaching the dock when 10 ft of rope are out? ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/sec (Type an integer or a simplified fraction.)

Calculus: Early Transcendentals
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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14. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b) Ring at edge of dock 16' a. How fast is the boat approaching the dock when 10 ft of rope are out? ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/sec (Type an integer or a simplified fraction.)
Transcribed Image Text:14. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b) Ring at edge of dock 16' a. How fast is the boat approaching the dock when 10 ft of rope are out? ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/sec (Type an integer or a simplified fraction.)
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