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Vector Fields and Line Integrals – Lab 41)a.Determine and state the associated conservative vector field, :b.Determine and state the curl of this vector field. Explain what the results of these calculations imply.2)Consider the vector field F=⟨6x2−6xy ,4−3x2a. Determine and state the divergence of this vector field.⟩b. Show that this vector field is conservative.c. Find the potential function associated with this conservative vector field.1