Explanation Given: The box dimension, l = 10 in ., b = 9 in ., h = 18 in . Thickness of coating, d l = 0.2 in . , d b = 0.2 in . , d h = 0.2 in . Approach: Total differentiation with respect to V . d V = ∂ V ∂ l d l + ∂ V ∂ b d b + ∂ V ∂ h d h .. ( 1 ) Calculation: The Volume of the coating is calculated as, The volume of the box, V = l b h ... ( 2 ) Partial Differentiation of the equation ( 2 ) with respect to l . ∂ V ∂ l = ∂ ∂ l ( l b h ) ∂ V ∂ l = b h ... ( 3 ) Partial Differentiation of the equation ( 2 ) with respect to b . ∂ V ∂ b = ∂ ∂ b ( l b h ) ∂ V ∂ b = l h

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 9.4, Problem 35E

To determine

To find

The Volume of the coating.

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Chapter 9.4, Problem 34E

Chapter 9.5, Problem 1YT

Chapter 9 Solutions

Calculus For The Life Sciences

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To find The Volume of the coating.

Solution Summary: The author explains how the volume of the coating is calculated.