Verify if the following vector fields are conservative: 2y 21 a) A1 = (1+æ²+y² > I+x²+y² b) Ã, = (2xy – z², 2yz + x², y² – 2xz) In case they are conservative, find their respective potential fields.

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A: I am attaching image so that you understand each and every step.

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A: we have to find solutions

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: To find derivative of given function.

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A: The solution is given below

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A: We will solve the integration.

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A: The given functions,fx=3x-5gx=6x2+8x+27

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A: solving by integration by parts

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A: Definite integration property