Consider F and C below. F(x, y, z) = (2xz + y²)i + 2xyj + (x² + 12z²) k C: x = t², y = t + 3, z = 2t – 1, 0≤t≤1 (a) Find a function f such that F = Vf. f(x, y, z): = =[" C (b) Use part (a) to evaluate Vf. dr along the given curve C.

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