Question: Q3:-) for the given vector field A= xz ay - yz? ay - xy ay, prove and show the correctness of the divergence theorem

Q3:-) for the given vector field A= xz ay - yz? ay

Q3:-) for the given vector field A= xz ay - yz? ay - xy ay, prove and show the correctness of the divergence theorem by calculating: (a) the total outward flux flowing through the surface of a cube centered at the origin and with sides equal to 2-units each and parallel to the Cartesian axes, and (b) the integral of V A over the cube's volume. Q4:-) determine the curl of vector fields given in Q2 and determine if they are solenoidal. Q5:-) confirm Stokes's theorem for the vector field D (coso ar + sino am) by estimating: (a) f. D. de, over the closed path (contour) shown in the below Figure, and (b) S. (V x D) -ds., for the open quarter circle surface formed by the closed contour. (0, 3) L1 (-3, 0) L3

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