The figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a = 200 and b = 500.) X2 a X3 X4 b (a) Solve this system for xj, i = 1, 2, 3, 4. (If the system has an infinite number of solutions, express x1, X2, X3, and x4 in terms of the parameter t.) (x1, X2, X3, X4) =| (b) Find the traffic flow when x4 = 0. (x1, x2, X3, X4) = | (c) Find the traffic flow when x4 = 200. (x1, X2, X3, X4) = (d) Find the traffic flow when x1 = 3x2. (x1, X2, X3, X4) = |

The following equation is proposed as a model for the population of  a plant species: dN/dt=−αN. Here α is the inverse of a time constant. In other words T0=1/α is a time constant indicative of the time for the population of the species to be 36.7% of its initial population, N0. The solution of this 1st order differential equation is: a. N = N_0 exp (-alpha t) b. N = N_0 exp (alpha t) c. N = (N_0/alpha) t d. N = N_0 (alpha) t

will only upvote if ALL parts are answered

Example 4: Solve the system: Y=X² + 3 X² + y² = 9