Explanation Given: F ( x , y ) = < y , x > for curve C from ( a , b ) and ( c , d ) Formula: Line integral, Flux ( ϕ ) = ∫ C ( F . n ) d s = ∫ a b F ( r ( t ) ) . N ( t ) d t Calculation: Vector filed: F ( x , y ) = < y , x > for curve C from ( a , b ) and ( c , d ) Now, we make equation of line using two points. y − b x − a = d − b c − a y − b = ( d − b c − a ) ( x − a ) y = ( d − b c − a ) ( x − a ) + b Change into parametric x = t , y = ( d − b c − a ) ( t − a ) + b r ( t ) = < t , ( d − b c − a ) ( t − a ) + b > r ' ( t ) =

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17.2, Problem 70E

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flux of vector filed $F (x, y) = < y, x >$ for curve C from $(a, b)$ and $(c, d)$

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Chapter 17.2, Problem 69E

Chapter 17.2, Problem 71E

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flux of vector filed F ( x , y ) = < y , x > for curve C from ( a , b ) and ( c , d )

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flux of vector filed $F (x, y) = < y, x >$ for curve C from $(a, b)$ and $(c, d)$

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flux of vector filed F(x,y)=<y,x> for curve C from (a,b) and (c,d)

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flux of vector filed F ( x , y ) = < y , x > for curve C from ( a , b ) and ( c , d )

flux of vector filed $F (x, y) = < y, x >$ for curve C from $(a, b)$ and $(c, d)$