Please help with the following three questions:

1.

Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (xy , 7yz , zx ) through the surface S, where S is the boundary of the cylinder given by x2 + y bounded by. pe + 24 + 42= 12 and corelivete plane in First octout V. F - 2 (8 x2 - 22 ) + ( exc 2 - (3 21 ) 7 5 (8 4 3 ) - UXS N 16xtoto z J J F ds = [ [ ] . F ) dv = S V12 6-3 3- 26 - y . 16 x dz-dy- ofx . X 2 0 y = 6 2 = 0 142 6-32 16 7 ( 3- 7 - ' dy. dx . 20=0 9= 0 U 16 3xy - 24- 242 6-2 ) 2C = 0 12 16 3 x ( 6 - 2 ) - 2 2 ( 6 - 2 ) - 2 ( 6 - 323 7 2 x 412 = 16 18x - 3x62 3x 2 2 + BJ X - x3 16 + 62 2 / /x x = 0 4 18x 2 + 32 gx ? 2 4 2 64 + 2x3 712 = 16 /18x72 - (12)5 32 + 121- 9x72 - 121 +2(12) 64 1296 - 1728 + 648 - 648 - 324+ 3456) 950 16 x [ 108] fAds = 1728 S