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1. Consider the vector field F = 2xyi + (x2 + 2yz)j + y2k. (a) Verify if F is conservative. (b) Determine the function f

1. Consider the vector field F = 2xyi + (x2 + 2yz)j + y2k. (a) Verify if F is conservative. (b) Determine the function f such that F = Vf. (c) If C is the segment between the points (1, -1, 1) and (2, 1, 1) evaluate / F

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