4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 40 meters from point A. How far from point Amust the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 40 meters from point A. How far from point Amust the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
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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![4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline
Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks
along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 40
meters from point A. How far from point Amust the man lands (end of his swim), then walks along
the shoreline to his destination, so that the total time of swimming and walking is minimum?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff47fccac-5df9-4961-9751-34db6c92d280%2Fab1dbda3-8efd-4b08-86ba-2a0bc10b066a%2Fv83p1cl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline
Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3 m/s and walks
along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 40
meters from point A. How far from point Amust the man lands (end of his swim), then walks along
the shoreline to his destination, so that the total time of swimming and walking is minimum?
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