dz: 1. Consider the state equation: E = x3+u1+ug and the output equation y = m2+u%. Assume the inputs are small perturbations around an equilibrium: u1(t) : U1 +7116) and u2(t) 2 U2 +2126) with equilibrium values U1 = 7 and U2 = 1. (a) Find the equilibrium points X for the state variable x. (b) Determine the state space equation for a\": in the small signal model (where x(t) = X +:(t)). 2. Compute the integral ffR ZydA where R is the region within the circle $2 + :92 = 25, below the line y = zz and to the right of the yaxis. Please write your answer to q2 on the second page