3x 3x Determine whether F(x, y) = e³ cos 3y i – e³ sin 3yj is a conservative vector field. If so, find a potential function for it. F is a conservative vector field

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A: Solution :-

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A: Solution :-

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A: We can solve this using formula A= QDQT

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A: This is a problem of critical point analysis. Stability analysis.

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A: For the solution of the problem follow the next steps.