This is a manual calculation, i need you to do simulation software by using Matlab, but make sure last answer in Matlab is same answer in manual calculation please

(c) A vector field oriented outward is given by 3 F(x, y, z) = -5y2 - 2xy + yzk z Suppose that the surface of the plane x + y +z = 1 in the first octant contained within triangle C with vertices (1, 0, 0), (0, 1, 0) and (0, 0, 1) transverse in anticlockwise direction. (i) (ii) Sketch the surface of the plane. Evaluate $ F. dr by C using Stokes theorem. 1 (c) is Here, the surface of the plane es. x + y + z z (0,0,1) X (1,0,0) x+y = 1 y (0.10) (1) $F.do. S (cure 7). ds SJ (wrp ). dardy 10. R1 R --3 Here. curl 9/an + + n 13 day d/az 27 2 2 (2-0) + (0-0) + F(-2y + 3y) 2 tog - Brain $7.56 ff(29405 +98) Ce fut 18) Spelny SS (1-8-yty) dy do & 7 (1-2) dy da grad (orgt2-1) gradt regr 2-1)! Now, 3 R -> $7. do 3:0 y=0 1-3 - 80 9:0 11 7-0 5 00-15.30 do s 0-13 do 1-473), - 0 3 1/ So, 1 By Stokes theorem & F - do - 1/3