1. The utility functions for auto and transit are as follows: Auto: U = -0.46- 0.35T, -0.08T, - 0.005C Transit: UT = -0.07 - 0.05T - 0.15T2-0.005C Where: T1 - total travel time (minutes) T2 - waiting time (minutes) C- cost (cents) The travel characteristics between two zones are as follows: Auto Transit T1 T2 20 30 6. 8. 320 100 Determine the percent of travel in the zone by auto and transit using logit model.

EX2010 Mathematics - Computing Coursework C-Cwo(y) West North C=Cnc (X) South дс = 0 By Oc =0 ax East x In a rectangular domain illustrated above, the concentration C satisfies the following advection- diffusive equation, ac ac (a²c a²c\ ас at ax +u+v. =Г ду + in which u and v are velocity in x and y directions; I' is a diffusion coefficient. The length L and width Ly of the domain are 50 m and 1 m, respectively. The corresponding boundary conditions are a On the west boundary x=0: C = Cwo(y) = Cya (y-1)) where Cya is the centration at y ya and a is a coefficient. In this problem, ya=0.1, Cya = 1.0 and α = 1/8; ⚫ On the north boundary y = Ly: C ⚫ On the east boundary x = Lx: = 0 = CnL(x) = 0; ac ax ⚫ On the south boundary y = 0:3 дс = 0 ay At the initial time, C=0. You are asked to calculate the concentration distribution at /= 100s using the finite difference method. For simplicity, both the velocity and the diffusion coefficient are specified as constant values, i.e. u = 1.5 m/s, v =…

Q1) A farm has four zones for planting: 1, 2, 3 and 4. Each zone has sensor (S) that indicates whether the soil is dry or not, logic 1 means dry soil and supplying water is required. When $1 is logic 1 this means it is required to supply 2000 l/s, S2 is logic 1 it is required to pump 4000 l/s, S3 is logic 1 then it is required to deliver 6000 l/s, and S4 is logic 1 means 8000 l/s is required. The main station of the supplying water includes six pumps: P1, P2, P3, P4, P5 and P6. The capacities of theses pumps are 2000 1/s, 2000 1/s, 4000 l/s, 4000 l/s, 4000 l/s and 4000 l/s, respectively. Using one 8x1 MUX, design a logic circuit can be used to control the operation of the pumps depending on the water requirements where the supplied water should be equal to or greater than the required water.

Writing a function that returns for an integer A its symmetrical:That is to say, if A = 3524 then sym_(A) = is 4253