6. Let E be the bounded solid inside the cone x = vy2 + 22 and at the back (i.e., the part closest to the (yz)-plane) of the paraboloid x = 82 + 2 2 + 1. 4 Let S be the surface bounding E, oriented positively. Note that S is made up of two pieces: C, which is the part of S on the cone x = vy2 + z2 and P, which is the part of S on the paraboloid x = yz + 2 2 +1. 4 (a) [5 points] Compute the volume of E. (b) [5 points] Consider the vector field F defined by F(x , y, z ) = (3y + sin(22)) i + (3y + sin(22)) j Compute the flux of F accross C