(1) Let F(x, y, z) = (1, 2yz², 3z² + 2y²z). (a) Find the divergence of F (b) Show that is conservative. That is, ▼ × F = 0. (c) Find a potential function for F. That is, find f so that F = Vf.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(1) Let F(x, y, z) = (1, 2yz², 3z² + 2y²z).
(a) Find the divergence of F
(b) Show that F is conservative. That is, ▼ × F = 0.
(c) Find a potential function for F. That is, find f so that F = Vƒ.
Transcribed Image Text:(1) Let F(x, y, z) = (1, 2yz², 3z² + 2y²z). (a) Find the divergence of F (b) Show that F is conservative. That is, ▼ × F = 0. (c) Find a potential function for F. That is, find f so that F = Vƒ.
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