Explanation For funding the surface integral across the given surface we have to use the surface area of unit cube and its normal vector , then write it as sum of integral value. Given: The value of function and vector function with normal are given. Formula used: For vector function F ∬ s F . d s = { ( F ( A ) . N ) + ( F ( B ) . N ) . + ( F ( C ) . N ) + ( F ( D ) . N ) } . A r e a ∬ s F . d s = { ∑ i = 1 4 f i | N i | } . A r e a Calculation: let ∬ s F . d s = { ( F ( A ) . N ) + ( F ( B ) . N ) . + ( F ( C ) . N ) + ( F ( D ) . N ) } . A r e a Now putting the value of points and area of subpart of surface is 1 / 4 ∬ s F ...

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17.5, Problem 4E

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To calculate: The surface integral for given fig. 14.

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Chapter 17.5, Problem 3E

Chapter 17.5, Problem 5E

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Chapter 17 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

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The surface integral for given fig. 14.

Solution Summary: The author explains how to calculate the surface integral for given fig. 14 by using surface area of unit cube and its normal vector.

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Chapter 17 Solutions