Explanation Given information: The given expressions are E = c v k t . Calculation: The expression for the energy is, E = c v k t Speed of the fish relative to the ground is v − v 1 Travelling speed is s t v − v 1 = s t t = s v − v 1 Substitute this result in the model. E = c v k t = c v k ( s v − v 1 ) Calculate the derivative with respect to ‘ v ’ d E d v = c s d d v ( v k v − v 1 ) = c s [ k v k − 1 ( v − v 1 ) − v k ( v −

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 4.7, Problem 41PS

To determine

To find: The velocity that minimizes the energy.

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Chapter 4.7, Problem 40PS

Chapter 4.7, Problem 42PS

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Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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The velocity that minimizes the energy.

Solution Summary: The author explains that the velocity that minimizes the energy is kv_1(k-1).

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To find: The velocity that minimizes the energy.

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Chapter 4 Solutions