Verify if the following vector fields are conservative: a) A1 = (2x / 1+x^2+y^2 , 2y / 1+x^2+y^2) b) A2 =  (2xy − z^2 , 2yz + x^2 , y^2 − 2xz) In case they are conservative, find their respective potential field

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Verify if the following vector fields are conservative:

a) A1 = (2x / 1+x^2+y^2 , 2y / 1+x^2+y^2)

b) A=  (2xy − z^2 , 2yz + x^2 , y^2 − 2xz)

In case they are conservative, find their respective potential fields.

a) Ä, = (1 )
2y
1+x2+y2 ? 1+x²+y2
2x
b) Ãz = (2xy – z2², 2yz + x², y² – 2xz)
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Transcribed Image Text:a) Ä, = (1 ) 2y 1+x2+y2 ? 1+x²+y2 2x b) Ãz = (2xy – z2², 2yz + x², y² – 2xz) -
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