Explanation Given: Swimming speed = 1.5 m/s Running speed = 4 m/s Calculation: Let us assume that Brandon swims from the upstream sideto a point located x meters diagonally on the downstream side. Then he swims x 2 + 50 2 and he runs for a distance of ( 200 − x ) . Now to find the total time of the trip, we formulate a function f ( x ) = x 2 + 50 2 1.5 + 200 − x 4 ; 0 ≤ x ≤ 200 Differentiating the above equation and equating to zero, we obtain f '

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.6, Problem 55E

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To find the best route is to swim and run to the destination.

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Chapter 4.6, Problem 54E

Chapter 4.6, Problem 56E

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Chapter 4 Solutions

CALCULUS (CLOTH)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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To find the best route is to swim and run to the destination.

Solution Summary: The author explains that the best route is to swim diagonally to a point located at 20.2 meters on downstream side and then runs the rest of the way.

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