Explanation Given: A = B Calculation: The volume of the box is given by V ( h ) = h × ( A − 2 h ) × ( B − 2 h ) It is given that A = B , the above expression can be written as V ( h ) = h × ( A − 2 h ) 2 = 4 h 3 − 4 A h 2 + A 2 h For the maximization, we differentiate the above equation and equate to zero

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.6, Problem 60E

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To find the value of h that maximizes the volume of the given boxif A=B.

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Chapter 4.6, Problem 59E

Chapter 4.6, Problem 61E

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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 value of h that maximizes the volume of the given boxif A = B .

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To find the value of h that maximizes the volume of the given boxif A=B.

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Chapter 4 Solutions