(Solved): Consider the scaler function \[ f(x, y)=(x-a)^{2}+(y-b)^{2}+x y \] Compute the gradient \( \nabla ...

Consider the scaler function \[ f(x, y)=(x-a)^{2}+(y-b)^{2}+x y \] Compute the gradient \( \nabla f \) and use it to find the \( (\mathrm{x}, \mathrm{y}) \) of the function's minimum Compute \( \nabla \cdot \nabla f \), the divergence of the gradient vector found in question 2 . Is this the same as \( \nabla^{2} f \), the Laplacian of \( \mathrm{f}(\mathrm{x}, \mathrm{y}) \) ? (Show by calculation.)