Use Gauss’ divergence theorem to find the outward flux Z Z S (5x3 i + 5y 3 j + 5z 3k) ˆn·dS where S is the region bounded by thesphere x 2 + y 2 + z 2 = a 2 , and a is the radius of the sphere.(Hint: Using mathematical formulae for areas or volumes do notbring marks. You must show your detailed work for full marks. Thesketch will not be marked.) b) If the total outward flux is inunits of grams/second and it represents the flow of mass throughour region of interest per unit time, what are the units for theterm (5x 3 i + 5y 3 j + 5z 3k)?