Question: Question 6. (a) Prove that the vector field f(x, y, z) = (y, x, z) is conservative. (b) Evaluate the line integral [ f .

Question 6. (a) Prove that the vector field f(x, y, z)

Question 6. (a) Prove that the vector field f(x, y, z) = (y, x, z) is conservative. (b) Evaluate the line integral [ f . dr for each of the oriented curves y below: (0, 1, 1) (0, 1, 0)

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