Given the following set of nonlinear differential equations: = ( )/ = ( )/() = where = 1 2 2 = = 1 2 2(0 + 2) The parameters are set as = 0.9, = 0.75, = 0.003, = 0.0172 , 0 = 0.02, = 0.41405/3at h=10,000m, = 1.3. (a) Find the trim condition for a leveled flight at altitude of = 10,000 flying at a speed of 0 =3.6 m/s, where the state = [ ] and the control is denoted by = [ ]. (b) find the linearized state space model about the trim condition found in part (a)