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

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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 ).


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