Ripetizioni di Analisi Analysis 2Unlocked IT Search Log inAccount

Exercise 12

Conservative field in space

Theory used: Irrotational field (closed field)Irrotational on a simply connected set implies conservative Potential by successive integration

Determine whether the field

F (x, y, z) = (2 x z, 3 y^{2} z^{2}, x^{2} + 2 y^{3} z)

is conservative on $R^{3}$ and, if so, determine its potentials.

The full solution of this exercise is in the unlocked version.