Question: 4. (7 p) Consider the vector field = e + [xe + In(z)] + k. (i) Is there a potential function & associated with

4. (7 p) Consider the vector field = e + [xe +

4. (7 p) Consider the vector field = e + [xe + In(z)] + k. (i) Is there a potential function & associated with ? (ii) If there is, then find it. (iii) If applicable, use the Fundamental Theorem for Line Integrals to evaluate G.dr where C is any curve joining the points A(0, 1, 1) and B(1,0,2).

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