QUESTION $4$

Let a scalar function $$ be defined with domain $R^2$ as

where $,,$ and $inR$ and constant. Determine the following fields:

a$)v_{?}=gra{d}_{}$

b$)A_{?}=gra{d}_v{?}_{?}$

c$)=gra{d}_{*}{v}_{?}$

d$)w_{?}=gra{d}_{*}{A}_{?}$

Bonus: Use Matlab or Python to plot and $.$ The result for a domain $-1,+1$ for $x_1$ and $x_2,$ with $=2,=-0\mathrm{.}5,$ and $=2$ is as follows