A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Rope 3 ft| Boat Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.)

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...
Question
A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per
second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock?
Rope
3 ft
Boat
Dock
The distance between the dock and the boat is decreasing by
feet per second when the boat is 3 feet from the dock.
(Round to the nearest thousandth as needed.)
Transcribed Image Text:A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Rope 3 ft Boat Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning