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9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to reach pt B, 6 miles from point A along the shore, with the shortest possible time. Where should he land if he can row 2 mph and walk 4 mph?

9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to reach pt B, 6 miles from point A along the shore, with the shortest possible time. Where should he land if he can row 2 mph and walk 4 mph?

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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9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to reach pt B, 6 miles from point A along the shore, with the shortest possible time. Where should he land if he can row 2 mph and walk 4 mph? 10. The lower edge of a mural, 12 ft high, is 6 ft above an observer's eyes. Under the assumption that the most favorable view is obtained when the angle subtended by the mural at the eye is maximum, at what distance from the wall should the observer stand? 11. A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area when the total perimeter is 16 feet.
Transcribed Image Text:9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to reach pt B, 6 miles from point A along the shore, with the shortest possible time. Where should he land if he can row 2 mph and walk 4 mph? 10. The lower edge of a mural, 12 ft high, is 6 ft above an observer's eyes. Under the assumption that the most favorable view is obtained when the angle subtended by the mural at the eye is maximum, at what distance from the wall should the observer stand? 11. A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area when the total perimeter is 16 feet.
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