Consider the system of equations dx г(3 — т — 4у) dt dy у(1 - 3г), taking (r, y) > 0. (a) Write an equation for the (non-zero) vertical (r-)nullcline of this system: (Enter your equation, e.g., y=x.) And for the (non-zero) horizontal (y-)nullcline: (Enter your equation, e.g., y=x.) (Note that there are also nullclines lying along the axes.) (b) What are the equilibrium points for the system? Equilibria = (Enter the points as comma-separated (x.y) pairs, e.g., (1,2), (3,4).)

x + 3y  =  12 Y=-1/3X-3 b) Classify the lines formed by the system as parallel, perpendicular, or neither. parallel. perpendicular     neither (c) Is the system of equations independent, inconsistent, or dependent? independent inconsistent     dependent

X/A + Y/B = 1, a ≠ 0, b ≠ 0. x-intercept: (−6, 0)y-intercept: (0, 5)   The x-intercept of the line is (−6, 0) and the y-intercept is (0, 5). Find the values of a and b.   A =   B =

Consider the linear system : -11 = = [] 83], -2 -3 6 y(0) = [9] 2 Solve this IVP and enter the formulas for the component functions below. x(t) = y(t) = Question Help: Message instructor Submit Question = y'