Question: A function in Cartesian coordinates is described by: f(x)=(3xy2)x-hat (y2)y-hat (xz3)z-hat a- Analytically calculate the curl of f. b- Sketch the parallelepiped with corners at:

A function in Cartesian coordinates is described by: f(x)=(3xy2)x-hat (y2)y-hat (xz3)z-hat a- Analytically calculate the curl of f. b- Sketch the parallelepiped with corners at: (0,0,0),(4,0,0),(4,0,2),(4,3,2), (4,3,0),(0,3,2),(0,3,0), and (0,0,2). c- Confirm Stokes" theorem, applied to f on the parallelepiped "top" and "front" surfaces

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