Consider the following three optimization problems: The Banana (Rosenbrock) Function This function is known as the "banana function" because of its shape; it is described mathematically in Equation (1). In this problem, there are two design variables with lower and upper limits of [-5, 5]. The Rosenbrock function has a known global minimum at [1, 1] with an optimal function value of zero. Minimize f(x)=100(x2-x)+(1-x)² (1) The Eggcrate Function This function is described mathematically in Equation (2). In this problem, there are two design variables with lower and upper bounds of [-2, 2]. The Eggcrate function has a known global minimum at [0, 0] with an optimal function value of zero. Minimize f(x) = x²+x²+25(sin² x₁ +sin² x₂) (2)