1. Assume that there exists a surface that can be modeled with the equation: z = e-(x2 + y2).
a) Calculate ∇z at the point (x = 0, y = 0).
b) In addition, use MATLAB to illustrate the profile and to calculate and plot this field.
2. Find divergence of the 2-D vector field A = e- (r / α) 2, where: r = xaX + yaY and r 2 = x2 + y2 by application of the MATLAB 'divergence' function (α = const ).