pls help solve this problem

5. [25 marks; (a) 10 marks (b) 10 marks (c) 5 marks] (a) Compute the outward ux of the vector eld [/SF-ds. Here 3 is the surface of the solid bounded by the cone 1'2 + y2 422 = 0 and the plane z : 1, and F(a:, y,z) : 933i + yaj + 23k. (b) Use Stoke's Theorem to evaluate the line integral {(1} 32) d3; + (z2 :52) dy + (1:2 :52} dz, C where the curve C is the intersection of the paraboloid z = 2:2 + y2 1 with the plane a: + y z = 1, oriented counterclockwise viewed from above. (e) Let S be the sphere with radius 1 centred at the origin, and 81 be the part of S such that. :r 2 0, y 2 0 and z 5 0. Evaluate the surface integral ff xsin[($2 + y2 + zz)3]dS. 51