Use Julia programming language for the following question:

Please, give clear explanation on every part

Problem 2.1: Critical (Stationary) Points of a Function Consider the function f : 1E2 4; 1R given by r) : :cf :51 | 33% 1'2. (a) Plot the surface of z 2 r) and conclude whether this function is convex or not. (h) List the 4 points for which the rstorder necessary.r condition holds (critical points). (c) Use the Hessian H (a!) of re) to support your argument in part (a). What can you say about the curvature around the four critical points?J Hint: Eigenvalues of H (at) can be computed using the eigfenO function from the Julia package Linearlgsbra. First import the package by using LinearAlgebra and then type ?eigen to get detailed information on hon.r to use this function