2. (U: 20pts, G: 20pts) Consider the problem min f (x) = (x1 + 2x2 -7) + (2x1+22 -5)2 . a. 8pts. Calculate the gradient and the Hessian of this function . b. 8pts. Use the necessary conditions for unconstrained opti- mization to find a candidate minimizer of this function. . c. 4pts. Use the sufficient conditions to verify whether or not the point is a minimum. For the previous parts, no computer should be used, except in part c it may be used to find eigenvalues