3D Surfaces Matlab Surface Area Write a script that computes the surface area of a function f (x, y) over a rectangular boundary on the xy- plane. Do this by segmenting the square grid into triangles, then sum the area of the triangular surface. Normal Vector Write a script that calculate and plot the normal vectors on the surface. The vector should be computed for each triangular surface. Gauss's Law Suppose a point charge is placed at the origin of an x,y,z coordinate system, write a script that computes the electric flux through a cube centered at the origin. Note that you need not compute the flux through all the surfaces of the cube if you take advantage of the symmetry. Furthermore, there is sufficient symmetry that you only need to compute a quarter of one side of the cube. Suppose the charge is no longer at the origin, however, the charge is still inside the cube. Calculate the flux through the cube. Note that the symmetry is now broken, therefore, you'll need to compute the flux through each side separately