This is a manual calculation, I need you to do simulation software by using Matlab, but make sure the last answer in Matlab is the 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. Solution The given vector field Forry,2)= - 3 - anyj + y2 h The surface of the plane 2+ 4+2 = 1 3. &. 9 Croaph of the plane (0,0,1) 29x 21+4+2=4 (1,0,0) axu Toilo) 'y axis (11) . The integral & . dr By stokers Theorem fi Fidena SS 67x F) sols & . 3 XFE .3 22 - 3 y - any yr s(2)-1(034 Al-34+39) XE zity zi+YA = it jt n ZiBl ands JS ti +92) ( tai tieto y amely +. ss to the ones andy 7+4+2=1 21-1-9 11 SS (1-2-4 -n 53 + ( SD (1-2) dad's , ny pleme region 91+y) Ocnel OLYE In 1- s . . (1-1)