Resuelto | Chegg.com.mx

¡Tu solución está lista!

Nuestra ayuda de expertos desglosó tu problema en una solución confiable y fácil de entender.

Pregunta: F(x,y,z)=(8xy2z3,8x2yz3,12x2y2z2)F(x,y,z)=(8xy2z3,8x2yz3,−12x2y2z2)F(x,y,z)=(8xy2z2,8x2yz3,12x2y2z3)F(x,y,z)=(−8xy2z3,8x2yz3,12x2y2z2) None of theseWhich one of the following vector fields is conservative? F(x,y,z)=(8xy2z3,8x2yz3,12x2y2z2)F(x,y,z)=(8xy2z3,8x2yz3,−12x2y2z2)F(x,y,z)=(8xy2z2,8x2yz3,12x2y2z3)F(x,y,z)=(−8xy2z3,8x2yz3,12x2y2z2) None of these

Muestra el texto de la transcripción de la imagen
Hay 4 pasos para resolver este problema.
Solución
Paso 1

Explanation:
Note- The curl of a conservative field is zero. Hence we just need to check the curl of every vector...
Mira la respuesta completa
Paso 2
Desbloquea
Paso 3
Desbloquea
Paso 4
Desbloquea
Respuesta
Desbloquea

Texto de la transcripción de la imagen:

F (x, y, z) = (8 x y^{2} z^{3}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{2}) F (x, y, z) = (8 x y^{2} z^{3}, 8 x^{2} y z^{3}, - 12 x^{2} y^{2} z^{2}) F (x, y, z) = (8 x y^{2} z^{2}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{3}) F (x, y, z) = (- 8 x y^{2} z^{3}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{2})

None of these Which one of the following vector fields is conservative?

F (x, y, z) = (8 x y^{2} z^{3}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{2}) F (x, y, z) = (8 x y^{2} z^{3}, 8 x^{2} y z^{3}, - 12 x^{2} y^{2} z^{2}) F (x, y, z) = (8 x y^{2} z^{2}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{3}) F (x, y, z) = (- 8 x y^{2} z^{3}, 8 x^{2} y z^{3}, 12 x^{2} y^{2} z^{2})

None of these