(1 point) Let o be the surface 6x + 1y+2z = 8 in the first octant, oriented upwards. Let C be the oriented boundary of ?. Compute the work done in moving a unit mass particle around the boundary of a through the vector field F = (2x-2y) i + (2y-7z) j + (7z - 2x) k using line integrals, and using Stokes' Theorem. Assume mass is measured in kg, length in meters, and force in Newtons (1 nt = 1kg-m). LINE INTEGRALS Parameterize the boundary of a positively using the standard form, tv+P with 0 ? t ? 1, starting with the segment in the xy plane. C? (the edge in the xy plane) is parameterized by <8/6(1-t),8t,0> C? (the edge following C?) is parameterized by <0,8(1-t),8(t/2)> C? (the last edge) is parameterized by <8t/6,0,4(1-t)> \int_{C_1} F \cdot dr = 520/9 \int_{C_2} F \cdot dr = \int_{C_3} F \cdot dr = \int_{C} F \cdot dr = STOKES' THEOREM