Consider the vector field F (x, y, z) = (4z + 3y)i + (z+ 3x)j + (y + 4x)k. a) Find a function f such that F = Vf and f(0, 0, 0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral F. dr.

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