a) Find the divergence and the curl of the vector field F x G, where F(x,...

 

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a) Find the divergence and the curl of the vector field F x G, where F(x, y, z) = 2x²yi - y z?j - 2z?k and G(x, y, z) = 3xyi – 5yzj + zk at (-1, 1,-1). b) Using Spherical Coordinates, find the volume of the solid G bounded above by the sphere x² + y? + z? = 25 and below by the cone z = 2/x2 + y2. a) Find the divergence and the curl of the vector field F x G, where F(x, y, z) = 2x²yi - y z?j - 2z?k and G(x, y, z) = 3xyi – 5yzj + zk at (-1, 1,-1). b) Using Spherical Coordinates, find the volume of the solid G bounded above by the sphere x² + y? + z? = 25 and below by the cone z = 2/x2 + y2.