Question: Consider the conservative vector field F ( x , y , z ) = ( 2 0 y 3 x , 3 0 y 2

Consider the conservative vector field
F(x,y,z)=(20y3x,30y2x2+2ze2zy,2ye2zy)
and the path C given byr(t)=[t,3cos(t)+10,3sin(t)+2] for 0t.
Determine a potential for F.
Then determine the circulation ofF along C.
A potential such that (0,0,0)=1is=
The circulation along Cis
Consider the conservative vector field F ( x , y

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