Problem 3. (mar. 40=20+20 points) Consider the solid region E2 in R3 which is enclosed by . the part of the cone z = vx2 + y satisfying > > 0, . the yz-plane, . the plane z = 1, . and the plane z = 4, and let $2 be the closed surface which forms the boundary of E2 (thus $2 will be a piecewise smooth parametric surface consisting of 4 main parts; see the figures below for a graph of two of those parts). 4 3 -7 4(a) Parametrice the entire surface $2, that is, give parametrizations for all four of its main parts (that is, the smooth parametric surfaces whose union forms S2). (b) Compute the outward flux of the vector field H(x, y, z) = (2x, 3y, z?) through the surface S2 (that is, find the surface integral of H along the surface $2, if $2 has the outward orientation)