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1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes to reach point C on the sea which has a perpendicular distance of 50 ft from point B. If he can run at the rate of 15 ft/sec and swim 5 ft/sec, at what distance from point A should he stop running and start swimming to reach point C with a minimum time?

1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes to reach point C on the sea which has a perpendicular distance of 50 ft from point B. If he can run at the rate of 15 ft/sec and swim 5 ft/sec, at what distance from point A should he stop running and start swimming to reach point C with a minimum time?

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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1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes to reach point C on the sea which has a perpendicular distance of 50 ft from point B. If he can run at the rate of 15 ft/sec and swim 5 ft/sec, at what distance from point A should he stop running and start swimming to reach point C with a minimum time?
Transcribed Image Text:1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes to reach point C on the sea which has a perpendicular distance of 50 ft from point B. If he can run at the rate of 15 ft/sec and swim 5 ft/sec, at what distance from point A should he stop running and start swimming to reach point C with a minimum time?
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