(1 point) Let σ be the surface 10x+4y+ 3z = 3 in the first octant, oriented upwards. Let C be the oriented boundary of σ. Compute the work done in moving a unit mass particle around the boundary of σ through the vector field (7x-5y) i + (5y-72) j + (7z7x) k using line integrals, and using Stoke's Theorem. Assume mass is measured in kg, length in meters, and force in Newtons (1 nt = 1kg-m). LINE INTEGRALS Parameterize the boundary of σ positively using the standard form, tv+P with 0 <t≤ 1, starting with the segment in the xy plane. C1 (the edge in the xy plane) is parameterized by C2 (the edge following C1) is parameterized by C3 (the last edge) is parameterized by Ja F.dr = Loa F.dr = F.dr = F.dr= STOKE'S THEOREM σ may be parameterized by r(x, y) = (x,y, f(x,y)) = curl F = b = (curl F) ndS: = dy dx