1 assume that there exists a surface that can be

Question

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 = xa_X + ya_Y and r ² = x² + y² by application of the MATLAB 'divergence' function (α = const ).