Show that F is irrotational. b) Find a potential function f (x, yz) such that F = ∇f , and f (0, π, π/3) = 2

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Let F = (z^2 cos y, −xz^2 sin y, 2xz cos y − cos z).
a) Show that F is irrotational.
b) Find a potential function f (x, yz) such that F = ∇f , and f (0, π, π/3) = 2

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