Two routes connect an origin-destination pair with performance functions: t1= 5 + 0.5 (x1/2)^2; t2= 7 + (x2/4)^2 (with t's in minutes and x's in thousands of vehicles per hour). it is known that at user equilibrium, 75% of the origin-destination demand take route 1. what percentage would take route 1 if a system-optimal solution were achieved, and how much travel time would be saved?

Which of the following components of a pid controlled accumulates the error over time and responds to system error after the error has been accumulated? a)- proportional b)- derivative c)- integral d)- on/off.

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?

Agas mixture consists of 8 kmol of h2 and 2 kmol of n2. determine the mass of each gas and the apparent gas constant of the mixture.