Explanation For funding the work done we have to find the line integral by using fundamental theorem of vector calculus Given: The force function and the points are given bellow. F ( x , y , z ) = ∇ f f = 4 x 2 ln ( 1 + y 4 + z 2 ) and r ( t ) = ( t 3 , ln ( 1 + t 2 ) , e t ) 0 ≤ t ≤ 1 Formula Used: ∫ c F . d r = ∫ c ∇ f . d r = f ( r ( 1 ) ) − f ( r ( 0 ) ) Calculation: r ( t ) = ( t 3 , ln ( 1 + t 2 ) , e t ) 0 ≤ t ≤ 1 r ( 1

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ISBN: 9781319434540

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17, Problem 39CRE

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To calculate: The line integral for given potential function.

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Chapter 17, Problem 38CRE

Chapter 17, Problem 40CRE

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Chapter 17 Solutions

ACHIEVE STANDALONE ACCESS F/ CALC 4E

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The line integral for given potential function.

Solution Summary: The author explains that for funding the work done we have to find the line integral by using fundamental theorem of vector calculus.

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To calculate: The line integral for given potential function.

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Chapter 17 Solutions