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Ejercicios: 1. Determine si los siguientes campos vectoriales son conservativos, de no serlo, explique. a) F(x,y)=3x2y2i+ 2xyj b) F(x,y)=xe (2yi+xj) c) F(x,y,z)=xyz2i+x2yz2j+x2y2zk II. Calcule el
Ejercicios: 1. Determine si los siguientes campos vectoriales son conservativos, de no serlo, explique. a) F(x,y)=3x2y2i+ 2xyj b) F(x,y)=xe (2yi+xj) c) F(x,y,z)=xyz2i+x2yz2j+x2y2zk II. Calcule el rotacional del campo vectorial en el punto dado a) F(x,y,z)=xyzi+ xyzj+xyzk en el punto (2.1.3) b) F(x,y,z)=xzi-2xzj+yzk en el punto (2. - 1,3) III. Calcule la divergencia del campo vectorial. a) F(x,y)=x+2yj b) F(x,y,z)=xzi-2xzj+yzk en el punto (2,-1,3)
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