1. Assume that there exists a surface that can be modeled with the equation: z = e-(x^{2} + y^{2}).
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 = xa_{X} + ya_{Y} and r ^{2} = x^{2} + y^{2} by application of the MATLAB 'divergence' function (α = const ).