A woman lives on an island 2 km from the mainland. Her fitness club is 4 km along the shore from the point closest to the island. To get to the fitness club, she paddles her kayak at 2 km/h. Once she reaches the shore, she jogs at 4 km/h. Determine where she should land to reach her fitness club in the shortest possible time.

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 woman lives on an island 2 km from the mainland. Her fitness club is
4 km along the shore from the point closest to the island. To get to the
fitness club, she paddles her kayak at 2 km/h. Once she reaches the shore,
she jogs at 4 km/h. Determine where she should land to reach her fitness
club in the shortest possible time.
Draw diagram, write let statements, write equations, show derivative steps, do the second derivative test and
write the conclusion statement.
Transcribed Image Text:A woman lives on an island 2 km from the mainland. Her fitness club is 4 km along the shore from the point closest to the island. To get to the fitness club, she paddles her kayak at 2 km/h. Once she reaches the shore, she jogs at 4 km/h. Determine where she should land to reach her fitness club in the shortest possible time. Draw diagram, write let statements, write equations, show derivative steps, do the second derivative test and write the conclusion statement.
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