Consider the vector field F(x, y, z) = 3xyz?i+ (r³2² + 8yz)j+ (2x*yz+4y²)k a. Show that F is conservative by showing that curlF = 0. b. Find a function f(x, y, z) such that Vf = F. c. Use the Fundamental Theorem of Line Integrals to find the work done by F as particle moves from P(2, 1,0) to Q(0,3, 1).

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