Consider the function f(x,)=axy+9x^2+4y^2 1. Compute the partial derivatives of Hf. Write the Hessian of Hf in a 2x2 mat

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Consider The Function F X Axy 9x 2 4y 2 1 Compute The Partial Derivatives Of Hf Write The Hessian Of Hf In A 2x2 Mat 1 (85.75 KiB) Viewed 28 times

Consider the function f(x,)=axy+9x^2+4y^2 1. Compute the partial derivatives of Hf. Write the Hessian of Hf in a 2x2 matrix 2. The function ff is strictly convex for values of aa belonging to a particular open subset of the real numbers. Write the least upper bound of that subset (i.e. the smallest number such that ff is convex for all aa less than that number). You should enter just a number. 3. Now fix a=1, set g(x,x)=x-5y-2 and consider the program Minimise f(x,x) subject to g(x,x)=0 Use the Lagrangian to find the optimal values of x and y for this program. In each case, enter just a number. These numbers should be entered exactly x = ? y = ?