Intersections in England are often constructed as one-way "roundabouts," such as the one shown in the figure. Assume that traffic must travel in the directions shown. Find the general solution of the network flow. Find the smallest possible value for xg. √ w 6 Xg is free X₂ is free xg is free xe is free 60: Find the smallest possible value for xe. The smallest possible value for x is 100 What is the general solution of the network flow? Choose the correct answer below and fill in the answer boxes to complete your choice. OA. OB. O D. OC. x₁ is free 120 140 x2 = X₂ is free X₂ is free E X₂ X₂ is free 158 F SO 100 x₁ is free 6 yo X₂ is free

John is training for a marathon and he can easily alternate between running a mile and walking a mile. If he runs for 2 miles in a row, he becomes fatigued, and must then walk for 2 miles in a row in order to no longer be fatigued. When he is fatigued, he can still alternate between running a mile and walking a mile, but if he runs 2 miles in a row while already fatigued, he will collapse on the side of the road. If he runs 3 miles in a row at any point, he will also collapse. Let the letter 'a' stand for John running 1 mile, and the letter 'b' stand for John walking 1 mile. Draw a DFA which accepts all possible runs in which John does not collapse on the side of the road.

1. Create a K-map for each of the following functions: i. X1 X2| f 0 0 1 1 1 0 1 1 1 ii. f (x1,x2, x3) = Em (1,2, 3, 7) Ση (1,2, 3, 7) iii. f (x1, x2, X3) = x1· X2 + x2· X3 X2 + X2 · X3

thermostat, which will turn the heat on when the room temperature drops h degrees below its set point, Ts, and cuts heat off at a temperature h degrees higher than Ts . The system heats at a constant rate Q (thermal units per time unit), and the volume of the room is V, so, if the room were perfectly insulated, the heating system would raise the temperature of the room at the rate KVQ (degrees per time unit), where K is a constant of proportionality giving the change in temperature per thermal unit per unit volume. However, there is a heat loss to the outside that is proportional to the difference in temperature between the room and the outside. Using the modified Euler method, write a FORTRAN program to simulate this system, if the room temperature at time is T(t), T(0) = To, and the outside temperature, Tout' is given by: Case (1) : Tout is constant < Ts Case (2) : Tout = A sin(wt + 4)| , %3D reflecting daily cycles. A is temperature range, 2n/w is the period of a cycle, and o is the…