Find divergence of the 2-d vector field, MATLAB Programming

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 ).

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