Show that the following two vector ﬁelds are conservative and ﬁnd associated scalar potentials. (a) F...

Show that the following two vector ﬁelds are conservative and ﬁnd associated scalar potentials.
(a) F = 2ρsin(2φ) ρ + 2ρcos(2φ) φ + k
(b) F = (2r cos2 φ + sinθ cosφ) r + cosθ cosφ θ − [r(sin(2φ)/sinθ) + sinφ] φ

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Colby Messinger answered 11 months ago

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