(a) If U(x, y, z) = xy 2 z 3 , find U and 2 U....

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(a) If U(x, y, z) = xy2z3, find ∇U and ∇2U.

(b) If V(ρ, Φ, z) = sin Φ / ρ, find ∇V and ∇V.

(c) If W(r, θ, Φ,) = rsin θ cos Φ, find ∇W and ∇2W.

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