Find and classify the critical point of the linear system. dx/dt = -3x-y-19 dy/dt = 13x+y+69

Let bt represent the number of bacteria (measured in millions) at time t (measured in hours).This system can be modeled by the following updating function:bt+1 = 1.5btLet b0 =7.Iterate the discrete time dynamical system for a few steps:b1 = _______b2 = _______b3 = _______Write down a solution to the discrete-time dynamical system.Solution: b(t) = ______ Use your solution to compute the following:b(1) = _______b(2) = _______b(3) = _______Do your answers agree with your iterations? (yes/no) _________

1. form: Solve the system of equations. Put your solutions, if there is one, in parametric X1 + -X1 + 2x1 X2 + 3x2 - X3 = 0 + 2x3 = 0 X3 = 0 ||

Make a sketch in the xy-plane in order to determine the number of solutions to the given linear system. x+4y = 8 3x+y=3