A hunter is at a point along a river bank. He wants to get to his cabin, located 3 miles north and 7 miles west. (See figure.) He can travel 5 mph along the river but only 2 mph on the rocky land. How far upriver should he go in order to reach the cabin in minimum time? 3 The distance that the hunter should walk along the river is approximately mi. (Do not round until the final answer. Then round to the nearest tenth 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...
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A hunter is at a point along a river bank. He wants to
get to his cabin, located 3 miles north and 7 miles
west. (See figure.) He can travel 5 mph along the
river but only 2 mph on the rocky land. How far
upriver should he go in order to reach the cabin in
minimum time?
3
The distance that the hunter should walk along the river is approximately
mi.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:A hunter is at a point along a river bank. He wants to get to his cabin, located 3 miles north and 7 miles west. (See figure.) He can travel 5 mph along the river but only 2 mph on the rocky land. How far upriver should he go in order to reach the cabin in minimum time? 3 The distance that the hunter should walk along the river is approximately mi. (Do not round until the final answer. Then round to the nearest tenth as needed.)
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