Question 2. Given a vector eld E = 2:2; + 3y; 4x2l_( and a surface S dened as a sphere of radius 2. a} Find the divergence of E {2 marks} b} Evaluate HSE - at; using Divergence Theorem. (Hint: You do need to use spherical coordinate in the integration. You can use the equation of the volume of a sphere) Gauss Divergence Theorem: [I]? E - Edi! = [[55 is {4 marks} c) If now given another surface Szwhich is a square I] s x s 3, (l 5 y s 2 on mercy- plane. Evaluate the flux of the vector eld if over the surface 82. that is j];2 115? (Hint 32 is not a closed surface and hence you need to do surface integral [[5]: is = ESE - :3 :15 whereby 1.1 is the unit normal vector to the surface S} {9 marks}