h) Given vector field F (x, y, z) = (2x + 2y + 4z) i + (2y + 2x – 32) j + (2z – 3y + 4x) k. (a) Prove or disprove that f(x, y, z) = x² + y² + z² + 2xy – 3yz + 4xz is a potential function for vector field F. (b) Find f, FdT, where L is a part of the helix x = connecting the points A(3,0, 1) and (-3,0, 2) 3 cos(rt), y = 3sin(at), z = 1+t, 0

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A: I have solved first part of your query. I request you to repost your query for next part

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