Determine if F(x, y, z)= yz²i+xz²j+ (2xyz-5)k is a conservative vector field. If it is, find a function f such that F= Vf and use it to evaluate fF.dr along the curve C: r(t) = (3t+1)i-t³j+(4t-1)k where 0≤t≤1.

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A: Let's Solve,

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